planet-positions.js 197 KB

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  1. (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
  2. 'use strict';
  3. var SolarSystem = require('./SolarSystem');
  4. var global = window.lagrange = window.lagrange || {};
  5. global.planet_positions = module.exports = {
  6. getPositions: function(userDate){
  7. return SolarSystem.getPositions(userDate);
  8. }
  9. };
  10. },{"./SolarSystem":8}],2:[function(require,module,exports){
  11. 'use strict';
  12. var OrbitalElements = require('./OrbitalElements');
  13. var ns = require('ns');
  14. var THREE = require('./Three.shim');
  15. var CelestialBody = {
  16. init : function() {
  17. this.reset();
  18. this.movement = new THREE.Vector3();
  19. this.invMass = 1 / this.mass;
  20. this.orbitalElements = Object.create(OrbitalElements);
  21. this.orbitalElements.setName(this.name);
  22. this.orbitalElements.setDefaultOrbit(this.orbit, this.orbitCalculator);
  23. //console.log(this.name, this.position, this.velocity);
  24. },
  25. reset : function(){
  26. this.angle = 0;
  27. this.force = new THREE.Vector3();
  28. this.movement = new THREE.Vector3();
  29. this.previousPosition = null;
  30. },
  31. //if epoch start is not j2000, get epoch time from j2000 epoch time
  32. getEpochTime : function(epochTime) {
  33. if(this.epoch) {
  34. epochTime = epochTime - ((this.epoch.getTime() - ns.J2000) / 1000);
  35. }
  36. return epochTime;
  37. },
  38. setPositionFromDate : function(epochTime, calculateVelocity) {
  39. epochTime = this.getEpochTime(epochTime);
  40. this.position = this.isCentral ? new THREE.Vector3() : this.orbitalElements.getPositionFromElements(this.orbitalElements.calculateElements(epochTime));
  41. this.relativePosition = new THREE.Vector3();
  42. if(calculateVelocity) {
  43. this.velocity = this.isCentral ? new THREE.Vector3() : this.orbitalElements.calculateVelocity(epochTime, this.relativeTo, this.calculateFromElements);
  44. }
  45. this.positionRelativeTo();
  46. },
  47. getAngleTo : function(bodyName){
  48. var ref = require('./SolarSystem').getBody(bodyName);
  49. if(ref) {
  50. var eclPos = this.position.clone().sub(ref.getPosition()).normalize();
  51. eclPos.z = 0;
  52. var angleX = eclPos.angleTo(new THREE.Vector3(1, 0, 0));
  53. var angleY = eclPos.angleTo(new THREE.Vector3(0, 1, 0));
  54. //console.log(angleX, angleY);
  55. var angle = angleX;
  56. var q = Math.PI / 2;
  57. if(angleY > q) angle = -angleX;
  58. return angle;
  59. }
  60. return 0;
  61. },
  62. positionRelativeTo : function(){
  63. if(this.relativeTo) {
  64. var central = require('./SolarSystem').getBody(this.relativeTo);
  65. if(central && central!==require('./SolarSystem').getBody()/**/) {
  66. this.position.add(central.position);
  67. //console.log(this.name+' pos rel to ' + this.relativeTo);
  68. this.velocity && central.velocity && this.velocity.add(central.velocity);
  69. }
  70. }
  71. },
  72. calculatePosition : function(t) {
  73. return this.orbitalElements.calculatePosition(t);
  74. },
  75. getPosition : function(){
  76. return this.position.clone();
  77. },
  78. getVelocity : function(){
  79. return this.velocity && this.velocity.clone();
  80. },
  81. //return true/false if this body is orbiting the requested body
  82. isOrbitAround : function(celestial){
  83. return celestial.name === this.relativeTo;
  84. }
  85. };
  86. module.exports = CelestialBody;
  87. },{"./OrbitalElements":7,"./SolarSystem":8,"./Three.shim":9,"ns":6}],3:[function(require,module,exports){
  88. 'use strict';
  89. var ns = require('ns');
  90. var MoonRealOrbit = require('./MoonRealOrbit');
  91. module.exports = [
  92. {
  93. name: 'sun',
  94. title : 'The Sun',
  95. mass : 1.9891e30,
  96. radius : 6.96342e5,
  97. k : 0.01720209895 //gravitational constant (μ)
  98. },
  99. {
  100. name: 'mercury',
  101. title : 'Mercury',
  102. mass : 3.3022e23,
  103. radius:2439,
  104. orbit : {
  105. base : {a : 0.38709927 * ns.AU , e : 0.20563593, i: 7.00497902, l : 252.25032350, lp : 77.45779628, o : 48.33076593},
  106. cy : {a : 0.00000037 * ns.AU , e : 0.00001906, i: -0.00594749, l : 149472.67411175, lp : 0.16047689, o : -0.12534081}
  107. }
  108. },
  109. {
  110. name: 'venus',
  111. title : 'Venus',
  112. mass : 4.868e24,
  113. radius : 6051,
  114. orbit : {
  115. base : {a : 0.72333566 * ns.AU , e : 0.00677672, i: 3.39467605, l : 181.97909950, lp : 131.60246718, o : 76.67984255},
  116. cy : {a : 0.00000390 * ns.AU , e : -0.00004107, i: -0.00078890, l : 58517.81538729, lp : 0.00268329, o : -0.27769418}
  117. }
  118. },
  119. {
  120. name:'earth',
  121. title : 'The Earth',
  122. mass : 5.9736e24,
  123. radius : 3443.9307 * ns.NM_TO_KM,
  124. sideralDay : ns.SIDERAL_DAY,
  125. tilt : 23+(26/60)+(21/3600) ,
  126. orbit : {
  127. base : {a : 1.00000261 * ns.AU, e : 0.01671123, i : -0.00001531, l : 100.46457166, lp : 102.93768193, o : 0.0},
  128. cy : {a : 0.00000562 * ns.AU, e : -0.00004392, i : -0.01294668, l : 35999.37244981, lp : 0.32327364, o : 0.0}
  129. }
  130. },
  131. {
  132. name:'mars',
  133. title : 'Mars',
  134. mass : 6.4185e23,
  135. radius : 3376,
  136. sideralDay : 1.025957 * ns.DAY,
  137. orbit : {
  138. base : {a : 1.52371034 * ns.AU , e : 0.09339410, i: 1.84969142, l : -4.55343205, lp : -23.94362959, o : 49.55953891},
  139. cy : {a : 0.00001847 * ns.AU , e : 0.00007882, i: -0.00813131, l : 19140.30268499, lp : 0.44441088, o : -0.29257343}
  140. }
  141. },
  142. {
  143. name:'jupiter',
  144. title : 'Jupiter',
  145. mass : 1.8986e27,
  146. radius : 71492,
  147. orbit : {
  148. base : {a : 5.20288700 * ns.AU , e : 0.04838624, i: 1.30439695, l : 34.39644051, lp : 14.72847983, o : 100.47390909},
  149. cy : {a : -0.00011607 * ns.AU , e : -0.00013253, i: -0.00183714, l : 3034.74612775, lp : 0.21252668, o : 0.20469106}
  150. }
  151. },
  152. {
  153. name:'saturn',
  154. title : 'Saturn',
  155. mass : 5.6846e26,
  156. radius : 58232,
  157. tilt : 26.7,
  158. orbit : {
  159. base : {a : 9.53667594 * ns.AU , e : 0.05386179, i: 2.48599187, l : 49.95424423, lp : 92.59887831, o : 113.66242448},
  160. cy : {a : -0.00125060 * ns.AU , e : -0.00050991, i: 0.00193609, l : 1222.49362201, lp : -0.41897216, o : -0.28867794}
  161. }
  162. },
  163. {
  164. name: 'uranus',
  165. title : 'Uranus',
  166. mass : 8.6810e25,
  167. radius : 25559,
  168. orbit : {
  169. base : {a : 19.18916464 * ns.AU , e : 0.04725744, i: 0.77263783, l : 313.23810451, lp : 170.95427630, o : 74.01692503},
  170. cy : {a : -0.00196176 * ns.AU , e : -0.00004397, i: -0.00242939, l : 428.48202785, lp : 0.40805281, o : 0.04240589}
  171. }
  172. },
  173. {
  174. name:'neptune',
  175. title : 'Neptune',
  176. mass : 1.0243e26,
  177. radius : 24764,
  178. orbit : {
  179. base : {a : 30.06992276 * ns.AU, e : 0.00859048, i: 1.77004347, l : -55.12002969, lp : 44.96476227, o : 131.78422574},
  180. cy : {a : 0.00026291 * ns.AU, e : 0.00005105, i: 0.00035372, l : 218.45945325, lp : -0.32241464, o : -0.00508664}
  181. }
  182. },
  183. {
  184. name: 'pluto',
  185. title : 'Pluto',
  186. mass : 1.305e22+1.52e21,
  187. radius : 1153,
  188. orbit : {
  189. base : {a : 39.48211675 * ns.AU , e : 0.24882730, i: 17.14001206, l : 238.92903833, lp : 224.06891629, o : 110.30393684},
  190. cy : {a : -0.00031596 * ns.AU , e : 0.00005170, i: 0.00004818, l : 145.20780515, lp : -0.04062942, o : -0.01183482}
  191. }
  192. },
  193. {
  194. name: 'halley',
  195. title : 'Halley\'s Comet',
  196. mass : 2.2e14,
  197. radius : 50,
  198. orbit : {
  199. base : {a : 17.83414429 * ns.AU , e : 0.967142908, i: 162.262691, M : 360 * (438393600 / (75.1 * ns.YEAR * ns.DAY)), w : 111.332485, o : 58.420081},
  200. day : {a : 0 , e : 0, i: 0, M : (360 / (75.1 * 365.25) ), w : 0, o : 0}
  201. }
  202. },
  203. {
  204. name: 'moon',
  205. title : 'The Moon',
  206. mass : 7.3477e22,
  207. radius : 1738.1,
  208. sideralDay : (27.3215782 * ns.DAY) ,
  209. tilt : 1.5424,
  210. fov : 1,
  211. relativeTo : 'earth',
  212. orbitCalculator : MoonRealOrbit,
  213. orbit: {
  214. base : {
  215. a : 384400,
  216. e : 0.0554,
  217. w : 318.15,
  218. M : 135.27,
  219. i : 5.16,
  220. o : 125.08
  221. },
  222. day : {
  223. a : 0,
  224. e : 0,
  225. i : 0,
  226. M : 13.176358,//360 / 27.321582,
  227. w : (360 / 5.997) / 365.25,
  228. o : (360 / 18.600) / 365.25
  229. }
  230. }
  231. }
  232. ];
  233. },{"./MoonRealOrbit":5,"ns":6}],4:[function(require,module,exports){
  234. 'use strict';
  235. module.exports = {
  236. sinh : function(a) {
  237. return (Math.exp(a) - Math.exp(-a)) / 2;
  238. },
  239. cosh : function(a) {
  240. return (Math.pow(Math.E, a) + Math.pow(Math.E, -a)) / 2;
  241. },
  242. sign : function(a) {
  243. return (a >= 0.0) ? 1 : -1;
  244. }
  245. };
  246. },{}],5:[function(require,module,exports){
  247. 'use strict';
  248. var ns = require('ns');
  249. var DEG_TO_RAD = ns.DEG_TO_RAD;
  250. var RAD_TO_DEG = ns.RAD_TO_DEG;
  251. module.exports = function(t){
  252. var t2 = t * t;
  253. var t3 = t * t2;
  254. var t4 = t * t3;
  255. var t5 = t * t4;
  256. var t2e4 = t2 * 1e-4;
  257. var t3e6 = t3 * 1e-6;
  258. var t4e8 = t4 * 1e-8;
  259. //% semimajor axis
  260. var sa = 3400.4 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  261. + 3.664 * t3e6 - 1.769 * t4e8))
  262. - 635.6 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  263. - 10.684 * t3e6 + 5.028 * t4e8))
  264. - 235.6 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  265. + 14.348 * t3e6 - 6.797 * t4e8))
  266. + 218.1 * Math.cos(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  267. + 3.623 * t3e6 - 1.769 * t4e8))
  268. + 181.0 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  269. + 18.011 * t3e6 - 8.566 * t4e8))
  270. - 39.9 * Math.cos(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4
  271. - 10.724 * t3e6 + 5.028 * t4e8))
  272. - 38.4 * Math.cos(DEG_TO_RAD * (233.2295 + 926533.2733 * t - 34.136 * t2e4
  273. + 3.705 * t3e6 - 1.769 * t4e8))
  274. + 33.8 * Math.cos(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4
  275. - 7.020 * t3e6 + 3.259 * t4e8))
  276. + 28.8 * Math.cos(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4
  277. + 7.328 * t3e6 - 3.538 * t4e8))
  278. + 12.6 * Math.cos(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4
  279. + 17.971 * t3e6 - 8.566 * t4e8))
  280. + 11.4 * Math.cos(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4
  281. - 0.567 * t3e6 + 0.232 * t4e8))
  282. - 11.1 * Math.cos(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4
  283. - 14.307 * t3e6 + 6.797 * t4e8))
  284. - 10.2 * Math.cos(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4
  285. + 28.695 * t3e6 - 13.594 * t4e8))
  286. + 9.7 * Math.cos(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4
  287. + 32.359 * t3e6 - 15.363 * t4e8))
  288. + 9.6 * Math.cos(DEG_TO_RAD * (240.6422 + 818536.1225 * t - 29.529 * t2e4
  289. + 3.582 * t3e6 - 1.769 * t4e8))
  290. + 8.0 * Math.cos(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4
  291. + 1.832 * t3e6 - 0.884 * t4e8))
  292. - 6.2 * Math.cos(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4
  293. + 14.388 * t3e6 - 6.797 * t4e8))
  294. + 6.0 * Math.cos(DEG_TO_RAD * (173.5506 + 1335801.3346 * t - 48.901 * t2e4
  295. + 5.496 * t3e6 - 2.653 * t4e8))
  296. + 3.7 * Math.cos(DEG_TO_RAD * (113.8717 + 1745069.3958 * t - 63.665 * t2e4
  297. + 7.287 * t3e6 - 3.538 * t4e8))
  298. + 3.6 * Math.cos(DEG_TO_RAD * (338.9083 + 1267870.5281 * t - 153.636 * t2e4
  299. - 7.061 * t3e6 + 3.259 * t4e8))
  300. + 3.2 * Math.cos(DEG_TO_RAD * (246.3642 + 2258267.3137 * t + 24.769 * t2e4
  301. + 21.675 * t3e6 - 10.335 * t4e8))
  302. - 3.0 * Math.cos(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4
  303. + 18.052 * t3e6 - 8.566 * t4e8))
  304. + 2.3 * Math.cos(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4
  305. - 10.643 * t3e6 + 5.028 * t4e8))
  306. - 2.2 * Math.cos(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4
  307. + 0.041 * t3e6 + 0.000 * t4e8))
  308. - 2.0 * Math.cos(DEG_TO_RAD * (38.5872 + 858602.4669 * t - 138.871 * t2e4
  309. - 8.852 * t3e6 + 4.144 * t4e8))
  310. - 1.8 * Math.cos(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4
  311. - 10.765 * t3e6 + 5.028 * t4e8))
  312. - 1.7 * Math.cos(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4
  313. - 21.367 * t3e6 + 10.057 * t4e8))
  314. + 1.6 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4
  315. + 18.579 * t3e6 - 8.798 * t4e8))
  316. - 1.4 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  317. + 14.915 * t3e6 - 7.029 * t4e8))
  318. + 1.3 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  319. - 25.031 * t3e6 + 11.826 * t4e8));
  320. var sapp = - 0.55 * Math.cos(DEG_TO_RAD * (238.2 + 854535.2 * t))
  321. + 0.10 * Math.cos(DEG_TO_RAD * (103.2 + 377336.3 * t))
  322. + 0.10 * Math.cos(DEG_TO_RAD * (233.2 + 926533.3 * t));
  323. var sma = 383397.6 + sa + sapp * t;
  324. //% orbital eccentricity
  325. var se = 0.014217 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  326. - 10.684 * t3e6 + 5.028 * t4e8))
  327. + 0.008551 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  328. - 25.031 * t3e6 + 11.826 * t4e8))
  329. - 0.001383 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  330. + 14.348 * t3e6 - 6.797 * t4e8))
  331. + 0.001353 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  332. + 18.011 * t3e6 - 8.566 * t4e8))
  333. - 0.001146 * Math.cos(DEG_TO_RAD * (66.5106 + 349471.8432 * t - 335.112 * t2e4
  334. - 35.715 * t3e6 + 16.854 * t4e8))
  335. - 0.000915 * Math.cos(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4
  336. - 21.367 * t3e6 + 10.057 * t4e8))
  337. + 0.000869 * Math.cos(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4
  338. - 10.724 * t3e6 + 5.028 * t4e8))
  339. - 0.000628 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  340. + 3.664 * t3e6 - 1.769 * t4e8))
  341. - 0.000393 * Math.cos(DEG_TO_RAD * (291.5472 - 127727.0245 * t - 425.082 * t2e4
  342. - 50.062 * t3e6 + 23.651 * t4e8))
  343. + 0.000284 * Math.cos(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4
  344. - 25.072 * t3e6 + 11.826 * t4e8))
  345. - 0.000278 * Math.cos(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4
  346. - 12.516 * t3e6 + 5.913 * t4e8))
  347. - 0.000240 * Math.cos(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4
  348. + 28.695 * t3e6 - 13.594 * t4e8))
  349. + 0.000230 * Math.cos(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4
  350. + 7.328 * t3e6 - 3.538 * t4e8))
  351. + 0.000229 * Math.cos(DEG_TO_RAD * (167.2476 + 762807.1986 * t - 457.683 * t2e4
  352. - 46.398 * t3e6 + 21.882 * t4e8))
  353. - 0.000202 * Math.cos(DEG_TO_RAD * ( 83.3826 - 12006.2998 * t + 247.999 * t2e4
  354. + 29.262 * t3e6 - 13.826 * t4e8))
  355. + 0.000190 * Math.cos(DEG_TO_RAD * (190.8102 - 541062.3799 * t - 302.511 * t2e4
  356. - 39.379 * t3e6 + 18.623 * t4e8))
  357. + 0.000177 * Math.cos(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4
  358. + 0.041 * t3e6 + 0.000 * t4e8))
  359. + 0.000153 * Math.cos(DEG_TO_RAD * (32.2842 + 285608.3309 * t - 547.653 * t2e4
  360. - 60.746 * t3e6 + 28.679 * t4e8))
  361. - 0.000137 * Math.cos(DEG_TO_RAD * (44.8902 + 1431596.6029 * t + 269.911 * t2e4
  362. + 43.043 * t3e6 - 20.392 * t4e8))
  363. + 0.000122 * Math.cos(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4
  364. + 32.359 * t3e6 - 15.363 * t4e8))
  365. + 0.000116 * Math.cos(DEG_TO_RAD * (302.2110 + 1240006.0662 * t - 367.713 * t2e4
  366. - 32.051 * t3e6 + 15.085 * t4e8))
  367. - 0.000111 * Math.cos(DEG_TO_RAD * (203.9449 + 790671.6605 * t - 243.606 * t2e4
  368. - 21.408 * t3e6 + 10.057 * t4e8))
  369. - 0.000108 * Math.cos(DEG_TO_RAD * (68.9815 + 313472.7929 * t - 333.576 * t2e4
  370. - 35.756 * t3e6 + 16.854 * t4e8))
  371. + 0.000096 * Math.cos(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4
  372. - 7.020 * t3e6 + 3.259 * t4e8))
  373. - 0.000090 * Math.cos(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4
  374. - 10.643 * t3e6 + 5.028 * t4e8))
  375. + 0.000090 * Math.cos(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4
  376. + 17.971 * t3e6 - 8.566 * t4e8))
  377. + 0.000056 * Math.cos(DEG_TO_RAD * (55.8468 - 1018261.2475 * t - 392.482 * t2e4
  378. - 53.726 * t3e6 + 25.420 * t4e8))
  379. - 0.000056 * Math.cos(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  380. + 3.623 * t3e6 - 1.769 * t4e8))
  381. + 0.000052 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  382. + 14.915 * t3e6 - 7.029 * t4e8))
  383. - 0.000050 * Math.cos(DEG_TO_RAD * (133.0212 + 698943.6863 * t - 670.224 * t2e4
  384. - 71.429 * t3e6 + 33.708 * t4e8))
  385. - 0.000049 * Math.cos(DEG_TO_RAD * (267.9846 + 1176142.5540 * t - 580.254 * t2e4
  386. - 57.082 * t3e6 + 26.911 * t4e8))
  387. - 0.000049 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4
  388. + 18.579 * t3e6 - 8.798 * t4e8))
  389. - 0.000045 * Math.cos(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4
  390. + 4.231 * t3e6 - 2.001 * t4e8))
  391. + 0.000044 * Math.cos(DEG_TO_RAD * (257.3208 - 191590.5367 * t - 637.623 * t2e4
  392. - 75.093 * t3e6 + 35.477 * t4e8))
  393. + 0.000042 * Math.cos(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4
  394. - 10.765 * t3e6 + 5.028 * t4e8))
  395. + 0.000042 * Math.cos(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4
  396. - 12.475 * t3e6 + 5.913 * t4e8))
  397. + 0.000040 * Math.cos(DEG_TO_RAD * (246.3642 + 2258267.3137 * t + 24.769 * t2e4
  398. + 21.675 * t3e6 - 10.335 * t4e8))
  399. - 0.000040 * Math.cos(DEG_TO_RAD * (156.5838 - 604925.8921 * t - 515.053 * t2e4
  400. - 64.410 * t3e6 + 30.448 * t4e8))
  401. + 0.000036 * Math.cos(DEG_TO_RAD * (169.7185 + 726808.1483 * t - 456.147 * t2e4
  402. - 46.439 * t3e6 + 21.882 * t4e8))
  403. + 0.000029 * Math.cos(DEG_TO_RAD * (113.8717 + 1745069.3958 * t - 63.665 * t2e4
  404. + 7.287 * t3e6 - 3.538 * t4e8))
  405. - 0.000029 * Math.cos(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4
  406. + 1.832 * t3e6 - 0.884 * t4e8))
  407. - 0.000028 * Math.cos(DEG_TO_RAD * (294.0181 - 163726.0747 * t - 423.546 * t2e4
  408. - 50.103 * t3e6 + 23.651 * t4e8))
  409. + 0.000027 * Math.cos(DEG_TO_RAD * (263.6238 + 381403.5993 * t - 228.841 * t2e4
  410. - 23.199 * t3e6 + 10.941 * t4e8))
  411. - 0.000026 * Math.cos(DEG_TO_RAD * (358.0578 + 221744.8187 * t - 760.194 * t2e4
  412. - 85.777 * t3e6 + 40.505 * t4e8))
  413. - 0.000026 * Math.cos(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4
  414. + 18.052 * t3e6 - 8.566 * t4e8));
  415. var sedp = -0.0022 * Math.cos(DEG_TO_RAD * (103.2 + 377336.3 * t));
  416. var ecc = 0.055544 + se + 1e-3 * t * sedp;
  417. //% sine of half the inclination
  418. var sg = 0.0011776 * Math.cos(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4
  419. + 4.231 * t3e6 - 2.001 * t4e8))
  420. - 0.0000971 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  421. + 3.664 * t3e6 - 1.769 * t4e8))
  422. + 0.0000908 * Math.cos(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4
  423. - 0.567 * t3e6 + 0.232 * t4e8))
  424. + 0.0000623 * Math.cos(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4
  425. + 29.262 * t3e6 - 13.826 * t4e8))
  426. + 0.0000483 * Math.cos(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4
  427. + 4.190 * t3e6 - 2.001 * t4e8))
  428. + 0.0000348 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  429. - 10.684 * t3e6 + 5.028 * t4e8))
  430. - 0.0000316 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  431. + 14.915 * t3e6 - 7.029 * t4e8))
  432. - 0.0000253 * Math.cos(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4
  433. + 4.272 * t3e6 - 2.001 * t4e8))
  434. - 0.0000141 * Math.cos(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4
  435. - 10.116 * t3e6 + 4.797 * t4e8))
  436. + 0.0000127 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  437. - 25.031 * t3e6 + 11.826 * t4e8))
  438. + 0.0000117 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4
  439. + 18.579 * t3e6 - 8.798 * t4e8))
  440. - 0.0000078 * Math.cos(DEG_TO_RAD * (98.3124 - 151739.6240 * t + 70.916 * t2e4
  441. + 8.462 * t3e6 - 4.001 * t4e8))
  442. - 0.0000063 * Math.cos(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  443. + 3.623 * t3e6 - 1.769 * t4e8))
  444. + 0.0000063 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  445. + 14.348 * t3e6 - 6.797 * t4e8))
  446. + 0.0000036 * Math.cos(DEG_TO_RAD * (321.5076 + 1443602.9027 * t + 21.912 * t2e4
  447. + 13.780 * t3e6 - 6.566 * t4e8))
  448. - 0.0000035 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  449. + 18.011 * t3e6 - 8.566 * t4e8))
  450. + 0.0000024 * Math.cos(DEG_TO_RAD * (149.8932 + 337465.5434 * t - 87.113 * t2e4
  451. - 6.453 * t3e6 + 3.028 * t4e8))
  452. + 0.0000024 * Math.cos(DEG_TO_RAD * (170.9849 - 930404.9848 * t + 66.523 * t2e4
  453. + 0.608 * t3e6 - 0.232 * t4e8));
  454. var sgp = - 0.0203 * Math.cos(DEG_TO_RAD * (125.0 - 1934.1 * t))
  455. + 0.0034 * Math.cos(DEG_TO_RAD * (220.2 - 1935.5 * t));
  456. var gamma = 0.0449858 + sg + 1e-3 * sgp;
  457. //% longitude of perigee
  458. var sp = - 15.448 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  459. - 10.684 * t3e6 + 5.028 * t4e8))
  460. - 9.642 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  461. - 25.031 * t3e6 + 11.826 * t4e8))
  462. - 2.721 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  463. + 14.348 * t3e6 - 6.797 * t4e8))
  464. + 2.607 * Math.sin(DEG_TO_RAD * (66.5106 + 349471.8432 * t - 335.112 * t2e4
  465. - 35.715 * t3e6 + 16.854 * t4e8))
  466. + 2.085 * Math.sin(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4
  467. - 21.367 * t3e6 + 10.057 * t4e8))
  468. + 1.477 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  469. + 18.011 * t3e6 - 8.566 * t4e8))
  470. + 0.968 * Math.sin(DEG_TO_RAD * (291.5472 - 127727.0245 * t - 425.082 * t2e4
  471. - 50.062 * t3e6 + 23.651 * t4e8))
  472. - 0.949 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4
  473. - 10.724 * t3e6 + 5.028 * t4e8))
  474. - 0.703 * Math.sin(DEG_TO_RAD * (167.2476 + 762807.1986 * t - 457.683 * t2e4
  475. - 46.398 * t3e6 + 21.882 * t4e8))
  476. - 0.660 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  477. + 3.664 * t3e6 - 1.769 * t4e8))
  478. - 0.577 * Math.sin(DEG_TO_RAD * (190.8102 - 541062.3799 * t - 302.511 * t2e4
  479. - 39.379 * t3e6 + 18.623 * t4e8))
  480. - 0.524 * Math.sin(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4
  481. + 28.695 * t3e6 - 13.594 * t4e8))
  482. - 0.482 * Math.sin(DEG_TO_RAD * (32.2842 + 285608.3309 * t - 547.653 * t2e4
  483. - 60.746 * t3e6 + 28.679 * t4e8))
  484. + 0.452 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4
  485. + 0.041 * t3e6 + 0.000 * t4e8))
  486. - 0.381 * Math.sin(DEG_TO_RAD * (302.2110 + 1240006.0662 * t - 367.713 * t2e4
  487. - 32.051 * t3e6 + 15.085 * t4e8))
  488. - 0.342 * Math.sin(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4
  489. - 25.072 * t3e6 + 11.826 * t4e8))
  490. - 0.312 * Math.sin(DEG_TO_RAD * (44.8902 + 1431596.6029 * t + 269.911 * t2e4
  491. + 43.043 * t3e6 - 20.392 * t4e8))
  492. + 0.282 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4
  493. - 12.516 * t3e6 + 5.913 * t4e8))
  494. + 0.255 * Math.sin(DEG_TO_RAD * (203.9449 + 790671.6605 * t - 243.606 * t2e4
  495. - 21.408 * t3e6 + 10.057 * t4e8))
  496. + 0.252 * Math.sin(DEG_TO_RAD * (68.9815 + 313472.7929 * t - 333.576 * t2e4
  497. - 35.756 * t3e6 + 16.854 * t4e8))
  498. - 0.211 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4
  499. + 29.262 * t3e6 - 13.826 * t4e8))
  500. + 0.193 * Math.sin(DEG_TO_RAD * (267.9846 + 1176142.5540 * t - 580.254 * t2e4
  501. - 57.082 * t3e6 + 26.911 * t4e8))
  502. + 0.191 * Math.sin(DEG_TO_RAD * (133.0212 + 698943.6863 * t - 670.224 * t2e4
  503. - 71.429 * t3e6 + 33.708 * t4e8))
  504. - 0.184 * Math.sin(DEG_TO_RAD * (55.8468 - 1018261.2475 * t - 392.482 * t2e4
  505. - 53.726 * t3e6 + 25.420 * t4e8))
  506. + 0.182 * Math.sin(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4
  507. + 32.359 * t3e6 - 15.363 * t4e8))
  508. - 0.158 * Math.sin(DEG_TO_RAD * (257.3208 - 191590.5367 * t - 637.623 * t2e4
  509. - 75.093 * t3e6 + 35.477 * t4e8))
  510. + 0.148 * Math.sin(DEG_TO_RAD * (156.5838 - 604925.8921 * t - 515.053 * t2e4
  511. - 64.410 * t3e6 + 30.448 * t4e8))
  512. - 0.111 * Math.sin(DEG_TO_RAD * (169.7185 + 726808.1483 * t - 456.147 * t2e4
  513. - 46.439 * t3e6 + 21.882 * t4e8))
  514. + 0.101 * Math.sin(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4
  515. + 17.971 * t3e6 - 8.566 * t4e8))
  516. + 0.100 * Math.sin(DEG_TO_RAD * (358.0578 + 221744.8187 * t - 760.194 * t2e4
  517. - 85.777 * t3e6 + 40.505 * t4e8))
  518. + 0.087 * Math.sin(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4
  519. - 10.643 * t3e6 + 5.028 * t4e8))
  520. + 0.080 * Math.sin(DEG_TO_RAD * (42.9480 + 1653341.4216 * t - 490.283 * t2e4
  521. - 42.734 * t3e6 + 20.113 * t4e8))
  522. + 0.080 * Math.sin(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4
  523. - 14.307 * t3e6 + 6.797 * t4e8))
  524. + 0.077 * Math.sin(DEG_TO_RAD * (294.0181 - 163726.0747 * t - 423.546 * t2e4
  525. - 50.103 * t3e6 + 23.651 * t4e8))
  526. - 0.073 * Math.sin(DEG_TO_RAD * (280.8834 - 1495460.1151 * t - 482.452 * t2e4
  527. - 68.074 * t3e6 + 32.217 * t4e8))
  528. - 0.071 * Math.sin(DEG_TO_RAD * (304.6819 + 1204007.0159 * t - 366.177 * t2e4
  529. - 32.092 * t3e6 + 15.085 * t4e8))
  530. - 0.069 * Math.sin(DEG_TO_RAD * (233.7582 + 1112279.0417 * t - 792.795 * t2e4
  531. - 82.113 * t3e6 + 38.736 * t4e8))
  532. - 0.067 * Math.sin(DEG_TO_RAD * (34.7551 + 249609.2807 * t - 546.117 * t2e4
  533. - 60.787 * t3e6 + 28.679 * t4e8))
  534. - 0.067 * Math.sin(DEG_TO_RAD * (263.6238 + 381403.5993 * t - 228.841 * t2e4
  535. - 23.199 * t3e6 + 10.941 * t4e8))
  536. + 0.055 * Math.sin(DEG_TO_RAD * (21.6203 - 1082124.7597 * t - 605.023 * t2e4
  537. - 78.757 * t3e6 + 37.246 * t4e8))
  538. + 0.055 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  539. + 14.915 * t3e6 -7.029 * t4e8))
  540. - 0.054 * Math.sin(DEG_TO_RAD * (8.7216 + 1589477.9094 * t - 702.824 * t2e4
  541. - 67.766 * t3e6 + 31.939 * t4e8))
  542. - 0.052 * Math.sin(DEG_TO_RAD * (179.8536 + 1908795.4705 * t + 359.881 * t2e4
  543. + 57.390 * t3e6 - 27.189 * t4e8))
  544. - 0.050 * Math.sin(DEG_TO_RAD * (98.7948 + 635080.1741 * t - 882.765 * t2e4
  545. - 96.461 * t3e6 + 45.533 * t4e8))
  546. - 0.049 * Math.sin(DEG_TO_RAD * (128.6604 - 95795.2683 * t - 318.812 * t2e4
  547. - 37.547 * t3e6 + 17.738 * t4e8))
  548. - 0.047 * Math.sin(DEG_TO_RAD * (17.3544 + 425341.6552 * t - 370.570 * t2e4
  549. - 39.946 * t3e6 + 18.854 * t4e8))
  550. - 0.044 * Math.sin(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4
  551. - 12.475 * t3e6 + 5.913 * t4e8))
  552. - 0.043 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  553. + 3.623 * t3e6 - 1.769 * t4e8))
  554. + 0.042 * Math.sin(DEG_TO_RAD * (270.4555 + 1140143.5037 * t - 578.718 * t2e4
  555. - 57.123 * t3e6 + 26.911 * t4e8))
  556. - 0.042 * Math.sin(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4
  557. + 14.388 * t3e6 - 6.797 * t4e8))
  558. - 0.041 * Math.sin(DEG_TO_RAD * (122.3573 - 668789.4043 * t - 727.594 * t2e4
  559. - 89.441 * t3e6 + 42.274 * t4e8))
  560. - 0.040 * Math.sin(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4
  561. - 10.765 * t3e6 + 5.028 * t4e8))
  562. + 0.038 * Math.sin(DEG_TO_RAD * (135.4921 + 662944.6361 * t - 668.688 * t2e4
  563. - 71.470 * t3e6 + 33.708 * t4e8))
  564. - 0.037 * Math.sin(DEG_TO_RAD * (242.3910 - 51857.2124 * t - 460.540 * t2e4
  565. - 54.293 * t3e6 + 25.652 * t4e8))
  566. + 0.036 * Math.sin(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4
  567. - 7.020 * t3e6 + 3.259 * t4e8))
  568. + 0.035 * Math.sin(DEG_TO_RAD * (223.0943 - 255454.0489 * t - 850.164 * t2e4
  569. - 100.124 * t3e6 + 47.302 * t4e8))
  570. - 0.034 * Math.sin(DEG_TO_RAD * (193.2811 - 577061.4302 * t - 300.976 * t2e4
  571. - 39.419 * t3e6 + 18.623 * t4e8))
  572. + 0.031 * Math.sin(DEG_TO_RAD * (87.6023 - 918398.6850 * t - 181.476 * t2e4
  573. - 28.654 * t3e6 + 13.594 * t4e8));
  574. var spp = 2.4 * Math.sin(DEG_TO_RAD * (103.2 + 377336.3 * t));
  575. var lp = 83.353 + 4069.0137 * t - 103.238 * t2e4
  576. - 12.492 * t3e6 + 5.263 * t4e8 + sp + 1e-3 * t * spp;
  577. //% longitude of the ascending node
  578. var sr = - 1.4979 * Math.sin(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4
  579. + 4.231 * t3e6 - 2.001 * t4e8))
  580. - 0.1500 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4
  581. + 0.041 * t3e6 + 0.000 * t4e8))
  582. - 0.1226 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  583. + 3.664 * t3e6 - 1.769 * t4e8))
  584. + 0.1176 * Math.sin(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4
  585. - 0.567 * t3e6 + 0.232 * t4e8))
  586. - 0.0801 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4
  587. + 29.262 * t3e6 - 13.826 * t4e8))
  588. - 0.0616 * Math.sin(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4
  589. + 4.190 * t3e6 - 2.001 * t4e8))
  590. + 0.0490 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  591. - 10.684 * t3e6 + 5.028 * t4e8))
  592. + 0.0409 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  593. + 14.915 * t3e6 - 7.029 * t4e8))
  594. + 0.0327 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  595. + 14.348 * t3e6 - 6.797 * t4e8))
  596. + 0.0324 * Math.sin(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4
  597. + 4.272 * t3e6 - 2.001 * t4e8))
  598. + 0.0196 * Math.sin(DEG_TO_RAD * (98.3124 - 151739.6240 * t + 70.916 * t2e4
  599. + 8.462 * t3e6 - 4.001 * t4e8))
  600. + 0.0180 * Math.sin(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4
  601. - 10.116 * t3e6 + 4.797 * t4e8))
  602. + 0.0150 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  603. - 25.031 * t3e6 + 11.826 * t4e8))
  604. - 0.0150 * Math.sin(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4
  605. + 18.579 * t3e6 - 8.798 * t4e8))
  606. - 0.0078 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  607. + 3.623 * t3e6 - 1.769 * t4e8))
  608. - 0.0045 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  609. + 18.011 * t3e6 - 8.566 * t4e8))
  610. + 0.0044 * Math.sin(DEG_TO_RAD * (321.5076 + 1443602.9027 * t + 21.912 * t2e4
  611. + 13.780 * t3e6 - 6.566 * t4e8))
  612. - 0.0042 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4
  613. - 12.516 * t3e6 + 5.913 * t4e8))
  614. - 0.0031 * Math.sin(DEG_TO_RAD * (170.9849 - 930404.9848 * t + 66.523 * t2e4
  615. + 0.608 * t3e6 - 0.232 * t4e8))
  616. + 0.0031 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4
  617. - 10.724 * t3e6 + 5.028 * t4e8))
  618. + 0.0029 * Math.sin(DEG_TO_RAD * (222.6120 - 1042273.8471 * t + 103.516 * t2e4
  619. + 4.798 * t3e6 - 2.232 * t4e8))
  620. + 0.0028 * Math.sin(DEG_TO_RAD * (184.0733 + 1002403.0853 * t - 69.594 * t2e4
  621. - 0.526 * t3e6 + 0.232 * t4e8));
  622. var srp = 25.9 * Math.sin(DEG_TO_RAD * (125.0 - 1934.1 * t))
  623. - 4.3 * Math.sin(DEG_TO_RAD * (220.2 - 1935.5 * t));
  624. var srpp = 0.38 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t));
  625. var raan = 125.0446 - 1934.13618 * t + 20.762 * t2e4
  626. + 2.139 * t3e6 - 1.650 * t4e8 + sr
  627. + 1e-3 * (srp + srpp * t);
  628. //% mean longitude
  629. var sl = - 0.92581 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4
  630. + 3.664 * t3e6 - 1.769 * t4e8))
  631. + 0.33262 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4
  632. - 10.684 * t3e6 + 5.028 * t4e8))
  633. - 0.18402 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4
  634. + 0.041 * t3e6 + 0.000 * t4e8))
  635. + 0.11007 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4
  636. + 14.348 * t3e6 - 6.797 * t4e8))
  637. - 0.06055 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4
  638. + 3.623 * t3e6 - 1.769 * t4e8))
  639. + 0.04741 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4
  640. - 25.031 * t3e6 + 11.826 * t4e8))
  641. - 0.03086 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4
  642. + 18.011 * t3e6 - 8.566 * t4e8))
  643. + 0.02184 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4
  644. - 10.724 * t3e6 + 5.028 * t4e8))
  645. + 0.01645 * Math.sin(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4
  646. + 4.231 * t3e6 - 2.001 * t4e8))
  647. + 0.01022 * Math.sin(DEG_TO_RAD * (233.2295 + 926533.2733 * t - 34.136 * t2e4
  648. + 3.705 * t3e6 - 1.769 * t4e8))
  649. - 0.00756 * Math.sin(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4
  650. - 7.020 * t3e6 + 3.259 * t4e8))
  651. - 0.00530 * Math.sin(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4
  652. - 14.307 * t3e6 + 6.797 * t4e8))
  653. - 0.00496 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4
  654. - 12.516 * t3e6 + 5.913 * t4e8))
  655. - 0.00472 * Math.sin(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4
  656. + 1.832 * t3e6 - 0.884 * t4e8))
  657. - 0.00271 * Math.sin(DEG_TO_RAD * (240.6422 + 818536.1225 * t - 29.529 * t2e4
  658. + 3.582 * t3e6 - 1.769 * t4e8))
  659. + 0.00264 * Math.sin(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4
  660. + 14.388 * t3e6 - 6.797 * t4e8))
  661. - 0.00254 * Math.sin(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4
  662. - 0.567 * t3e6 + 0.232 * t4e8))
  663. + 0.00234 * Math.sin(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4
  664. + 28.695 * t3e6 - 13.594 * t4e8))
  665. - 0.00220 * Math.sin(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4
  666. + 17.971 * t3e6 - 8.566 * t4e8))
  667. - 0.00202 * Math.sin(DEG_TO_RAD * (355.0582 + 71998.1006 * t - 3.072 * t2e4
  668. + 0.082 * t3e6 + 0.000 * t4e8))
  669. + 0.00167 * Math.sin(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4
  670. - 25.072 * t3e6 + 11.826 * t4e8))
  671. - 0.00143 * Math.sin(DEG_TO_RAD * (173.5506 + 1335801.3346 * t - 48.901 * t2e4
  672. + 5.496 * t3e6 - 2.653 * t4e8))
  673. - 0.00121 * Math.sin(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4
  674. - 10.643 * t3e6 + 5.028 * t4e8))
  675. - 0.00116 * Math.sin(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4
  676. + 32.359 * t3e6 - 15.363 * t4e8))
  677. + 0.00102 * Math.sin(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4
  678. - 10.765 * t3e6 + 5.028 * t4e8))
  679. - 0.00090 * Math.sin(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4
  680. + 18.579 * t3e6 - 8.798 * t4e8))
  681. - 0.00086 * Math.sin(DEG_TO_RAD * (338.9083 + 1267870.5281 * t - 153.636 * t2e4
  682. - 7.061 * t3e6 + 3.259 * t4e8))
  683. - 0.00078 * Math.sin(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4
  684. + 7.328 * t3e6 - 3.538 * t4e8))
  685. + 0.00069 * Math.sin(DEG_TO_RAD * (323.3027 - 27864.4619 * t - 214.077 * t2e4
  686. - 24.990 * t3e6 + 11.826 * t4e8))
  687. + 0.00066 * Math.sin(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4
  688. + 4.190 * t3e6 - 2.001 * t4e8))
  689. + 0.00065 * Math.sin(DEG_TO_RAD * (38.5872 + 858602.4669 * t - 138.871 * t2e4
  690. - 8.852 * t3e6 + 4.144 * t4e8))
  691. - 0.00060 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4
  692. + 29.262 * t3e6 - 13.826 * t4e8))
  693. + 0.00054 * Math.sin(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4
  694. - 21.367 * t3e6 + 10.057 * t4e8))
  695. - 0.00052 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4
  696. + 14.915 * t3e6 - 7.029 * t4e8))
  697. + 0.00048 * Math.sin(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4
  698. + 18.052 * t3e6 - 8.566 * t4e8))
  699. - 0.00041 * Math.sin(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4
  700. + 4.272 * t3e6 - 2.001 * t4e8))
  701. - 0.00033 * Math.sin(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4
  702. - 10.116 * t3e6 + 4.797 * t4e8))
  703. + 0.00030 * Math.sin(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4
  704. - 12.475 * t3e6 + 5.913 * t4e8));
  705. var slp = 3.96 * Math.sin(DEG_TO_RAD * (119.7 + 131.8 * t))
  706. + 1.96 * Math.sin(DEG_TO_RAD * (125.0 - 1934.1 * t));
  707. var slpp = 0.463 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t))
  708. + 0.152 * Math.sin(DEG_TO_RAD * (238.2 + 854535.2 * t))
  709. - 0.071 * Math.sin(DEG_TO_RAD * (27.8 + 131.8 * t))
  710. - 0.055 * Math.sin(DEG_TO_RAD * (103.2 + 377336.3 * t))
  711. - 0.026 * Math.sin(DEG_TO_RAD * (233.2 + 926533.3 * t));
  712. var slppp = 14 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t))
  713. + 5 * Math.sin(DEG_TO_RAD * (238.2 + 854535.2 * t));
  714. var lambda = 218.31665 + 481267.88134 * t - 13.268 * t2e4
  715. + 1.856 * t3e6 - 1.534 * t4e8 + sl
  716. + 1e-3 * (slp + slpp * t + slppp * t2e4);
  717. var computed = {
  718. a : sma * 1000,
  719. e : ecc,
  720. i : 2.0 * Math.asin(gamma) * RAD_TO_DEG,
  721. w : ( (lp - raan)) % 360,
  722. o : ( raan) % 360,
  723. M : ( (lambda - lp)) % 360
  724. };
  725. return computed;
  726. };
  727. },{"ns":6}],6:[function(require,module,exports){
  728. /*
  729. Global vars
  730. */
  731. 'use strict';
  732. module.exports = {
  733. //gravitational constant to measure the force with masses in kg and radii in meters N(m/kg)^2
  734. G : 6.6742e-11,
  735. //astronomical unit in km
  736. AU : 149597870,
  737. CIRCLE : 2 * Math.PI,
  738. KM : 1000,
  739. DEG_TO_RAD : Math.PI/180,
  740. RAD_TO_DEG : 180/Math.PI,
  741. NM_TO_KM : 1.852,
  742. LB_TO_KG : 0.453592,
  743. LBF_TO_NEWTON : 4.44822162,
  744. FT_TO_M : 0.3048,
  745. //duration in seconds
  746. DAY : 60 * 60 * 24,
  747. //duration in days
  748. YEAR : 365.25,
  749. //duration in days
  750. CENTURY : 100 * 365.25,
  751. SIDERAL_DAY : 3600 * 23.9344696,
  752. J2000 : new Date('2000-01-01T12:00:00-00:00'),
  753. getEpochTime : function(userDate) {
  754. userDate = userDate || new Date();
  755. return ((userDate - this.J2000) / 1000) ;
  756. }
  757. };
  758. },{}],7:[function(require,module,exports){
  759. 'use strict';
  760. var ns = require('ns');
  761. var Utils = require('./Utils');
  762. var THREE = require('./Three.shim');
  763. var CMath = require('./Math');
  764. var maxIterationsForEccentricAnomaly = 10;
  765. var maxDE = 1e-15;
  766. var solveEccentricAnomaly = function(f, x0, maxIter) {
  767. var x = 0;
  768. var x2 = x0;
  769. for (var i = 0; i < maxIter; i++) {
  770. x = x2;
  771. x2 = f(x);
  772. }
  773. return x2;
  774. }
  775. var solveKepler = function(e, M) {
  776. return function(x) {
  777. return x + (M + e * Math.sin(x) - x) / (1 - e * Math.cos(x));
  778. };
  779. };
  780. var solveKeplerLaguerreConway = function(e, M) {
  781. return function(x) {
  782. var s = e * Math.sin(x);
  783. var c = e * Math.cos(x);
  784. var f = x - s - M;
  785. var f1 = 1 - c;
  786. var f2 = s;
  787. x += -5 * f / (f1 + CMath.sign(f1) * Math.sqrt(Math.abs(16 * f1 * f1 - 20 * f * f2)));
  788. return x;
  789. };
  790. };
  791. var solveKeplerLaguerreConwayHyp = function(e, M) {
  792. return function(x) {
  793. var s = e * CMath.sinh(x);
  794. var c = e * CMath.cosh(x);
  795. var f = x - s - M;
  796. var f1 = c - 1;
  797. var f2 = s;
  798. x += -5 * f / (f1 + CMath.sign(f1) * Math.sqrt(Math.abs(16 * f1 * f1 - 20 * f * f2)));
  799. return x;
  800. };
  801. };
  802. module.exports = {
  803. setDefaultOrbit : function(orbitalElements, calculator) {
  804. this.orbitalElements = orbitalElements;
  805. if(orbitalElements && orbitalElements.epoch) {
  806. this.epochCorrection = ns.getEpochTime(orbitalElements.epoch);
  807. }
  808. this.calculator = calculator;
  809. },
  810. setName : function(name){
  811. this.name = name;
  812. },
  813. calculateVelocity : function(timeEpoch, relativeTo, isFromDelta) {
  814. if(!this.orbitalElements) return new THREE.Vector3(0,0,0);
  815. var eclipticVelocity;
  816. if ( isFromDelta ) {
  817. var pos1 = this.calculatePosition(timeEpoch);
  818. var pos2 = this.calculatePosition(timeEpoch + 60);
  819. eclipticVelocity = pos2.sub(pos1).multiplyScalar(1/60);
  820. } else {
  821. //vis viva to calculate speed (not velocity, i.e not a vector)
  822. var el = this.calculateElements(timeEpoch);
  823. var speed = Math.sqrt(ns.G * require('./SolarSystem').getBody(relativeTo).mass * ((2 / (el.r)) - (1 / (el.a))));
  824. //now calculate velocity orientation, that is, a vector tangent to the orbital ellipse
  825. var k = el.r / el.a;
  826. var o = ((2 - (2 * el.e * el.e)) / (k * (2-k)))-1;
  827. //floating point imprecision
  828. o = o > 1 ? 1 : o;
  829. var alpha = Math.PI - Math.acos(o);
  830. alpha = el.v < 0 ? (2 * Math.PI) - alpha : alpha;
  831. var velocityAngle = el.v + (alpha / 2);
  832. //velocity vector in the plane of the orbit
  833. var orbitalVelocity = new THREE.Vector3(Math.cos(velocityAngle), Math.sin(velocityAngle)).setLength(speed);
  834. var velocityEls = Utils.extend({}, el, {pos:orbitalVelocity, v:null, r:null});
  835. eclipticVelocity = this.getPositionFromElements(velocityEls);
  836. }
  837. //var diff = eclipticVelocityFromDelta.sub(eclipticVelocity);console.log(diff.length());
  838. return eclipticVelocity;
  839. },
  840. calculatePosition : function(timeEpoch) {
  841. if(!this.orbitalElements) return new THREE.Vector3(0,0,0);
  842. var computed = this.calculateElements(timeEpoch);
  843. var pos = this.getPositionFromElements(computed);
  844. return pos;
  845. },
  846. solveEccentricAnomaly : function(e, M){
  847. if (e == 0.0) {
  848. return M;
  849. } else if (e < 0.9) {
  850. var sol = solveEccentricAnomaly(solveKepler(e, M), M, 6);
  851. return sol;
  852. } else if (e < 1.0) {
  853. var E = M + 0.85 * e * ((Math.sin(M) >= 0.0) ? 1 : -1);
  854. var sol = solveEccentricAnomaly(solveKeplerLaguerreConway(e, M), E, 8);
  855. return sol;
  856. } else if (e == 1.0) {
  857. return M;
  858. } else {
  859. var E = Math.log(2 * M / e + 1.85);
  860. var sol = solveEccentricAnomaly(solveKeplerLaguerreConwayHyp(e, M), E, 30);
  861. return sol;
  862. }
  863. },
  864. calculateElements : function(timeEpoch, forcedOrbitalElements) {
  865. if(!forcedOrbitalElements && !this.orbitalElements) return null;
  866. var orbitalElements = forcedOrbitalElements || this.orbitalElements;
  867. /*
  868. Epoch : J2000
  869. a Semi-major axis
  870. e Eccentricity
  871. i Inclination
  872. o Longitude of Ascending Node (Ω)
  873. w Argument of periapsis (ω)
  874. E Eccentric Anomaly
  875. T Time at perihelion
  876. M Mean anomaly
  877. l Mean Longitude
  878. lp longitude of periapsis
  879. r distance du centre
  880. v true anomaly
  881. P Sidereal period (mean value)
  882. Pw Argument of periapsis precession period (mean value)
  883. Pn Longitude of the ascending node precession period (mean value)
  884. */
  885. if (this.epochCorrection) {
  886. timeEpoch -= this.epochCorrection;
  887. }
  888. var tDays = timeEpoch / ns.DAY;
  889. var T = tDays / ns.CENTURY ;
  890. //console.log(T);
  891. var computed = {
  892. t : timeEpoch
  893. };
  894. if(this.calculator && !forcedOrbitalElements) {
  895. var realorbit = this.calculator(T);
  896. Utils.extend(computed, realorbit);
  897. } else {
  898. if (orbitalElements.base) {
  899. var variation;
  900. for(var el in orbitalElements.base) {
  901. //cy : variation by century.
  902. //day : variation by day.
  903. variation = orbitalElements.cy ? orbitalElements.cy[el] : (orbitalElements.day[el] * ns.CENTURY);
  904. variation = variation || 0;
  905. computed[el] = orbitalElements.base[el] + (variation * T);
  906. }
  907. } else {
  908. computed = Utils.extend({}, orbitalElements);
  909. }
  910. if (undefined === computed.w) {
  911. computed.w = computed.lp - computed.o;
  912. }
  913. if (undefined === computed.M) {
  914. computed.M = computed.l - computed.lp;
  915. }
  916. computed.a = computed.a * ns.KM;//was in km, set it in m
  917. }
  918. computed.i = ns.DEG_TO_RAD * computed.i;
  919. computed.o = ns.DEG_TO_RAD * computed.o;
  920. computed.w = ns.DEG_TO_RAD * computed.w;
  921. computed.M = ns.DEG_TO_RAD * computed.M;
  922. computed.E = this.solveEccentricAnomaly(computed.e, computed.M);
  923. computed.E = computed.E % ns.CIRCLE;
  924. computed.i = computed.i % ns.CIRCLE;
  925. computed.o = computed.o % ns.CIRCLE;
  926. computed.w = computed.w % ns.CIRCLE;
  927. computed.M = computed.M % ns.CIRCLE;
  928. //in the plane of the orbit
  929. computed.pos = new THREE.Vector3(computed.a * (Math.cos(computed.E) - computed.e), computed.a * (Math.sqrt(1 - (computed.e*computed.e))) * Math.sin(computed.E));
  930. computed.r = computed.pos.length();
  931. computed.v = Math.atan2(computed.pos.y, computed.pos.x);
  932. if(orbitalElements.relativeTo) {
  933. var relativeTo = require('./SolarSystem').getBody(orbitalElements.relativeTo);
  934. if(relativeTo.tilt) {
  935. computed.tilt = -relativeTo.tilt * ns.DEG_TO_RAD;
  936. }
  937. };
  938. return computed;
  939. },
  940. getPositionFromElements : function(computed) {
  941. if(!computed) return new THREE.Vector3(0,0,0);
  942. var a1 = new THREE.Euler(computed.tilt || 0, 0, computed.o, 'XYZ');
  943. var q1 = new THREE.Quaternion().setFromEuler(a1);
  944. var a2 = new THREE.Euler(computed.i, 0, computed.w, 'XYZ');
  945. var q2 = new THREE.Quaternion().setFromEuler(a2);
  946. var planeQuat = new THREE.Quaternion().multiplyQuaternions(q1, q2);
  947. computed.pos.applyQuaternion(planeQuat);
  948. return computed.pos;
  949. },
  950. calculatePeriod : function(elements, relativeTo) {
  951. var period;
  952. if(this.orbitalElements && this.orbitalElements.day && this.orbitalElements.day.M) {
  953. period = 360 / this.orbitalElements.day.M ;
  954. }else if(require('./SolarSystem').getBody(relativeTo) && require('./SolarSystem').getBody(relativeTo).k && elements) {
  955. period = 2 * Math.PI * Math.sqrt(Math.pow(elements.a/(ns.AU*1000), 3)) / require('./SolarSystem').getBody(relativeTo).k;
  956. }
  957. period *= ns.DAY;//in seconds
  958. return period;
  959. }
  960. };
  961. },{"./Math":4,"./SolarSystem":8,"./Three.shim":9,"./Utils":10,"ns":6}],8:[function(require,module,exports){
  962. 'use strict';
  963. var ns = require('ns');
  964. var Utils = require('./Utils');
  965. var definitions = require('./Definitions');
  966. var CelestialBody = require('./CelestialBody');
  967. var bodies = definitions.map(function(def){
  968. var body = Object.create(CelestialBody);
  969. Utils.extend(body, def);
  970. body.init();
  971. return body;
  972. });
  973. var names = bodies.reduce(function(carry, body){
  974. carry[body.name] = body;
  975. return carry;
  976. }, {});
  977. var central = bodies.reduce(function(carry, body){
  978. carry = carry && carry.mass > body.mass ? carry : body;
  979. return carry;
  980. }, null);
  981. console.log(bodies);
  982. module.exports = {
  983. getBody: function(name){
  984. return names[name] || central;
  985. },
  986. getPositions: function(userDate, calculateVelocity){
  987. var epochTime = ns.getEpochTime(userDate);
  988. return bodies.map(function(body){
  989. body.setPositionFromDate(epochTime, calculateVelocity);
  990. return {
  991. name: body.name,
  992. position: body.getPosition(),
  993. velocity: body.getVelocity()
  994. };
  995. });
  996. }
  997. };
  998. },{"./CelestialBody":2,"./Definitions":3,"./Utils":10,"ns":6}],9:[function(require,module,exports){
  999. (function (global){
  1000. 'use strict';
  1001. var THREE = global.THREE = {};
  1002. require('../vendor/three/math/Vector3');
  1003. require('../vendor/three/math/Quaternion');
  1004. require('../vendor/three/math/Euler');
  1005. module.exports = THREE;
  1006. }).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {})
  1007. },{"../vendor/three/math/Euler":11,"../vendor/three/math/Quaternion":12,"../vendor/three/math/Vector3":13}],10:[function(require,module,exports){
  1008. /*
  1009. Global vars
  1010. */
  1011. 'use strict';
  1012. var extend = function(){
  1013. if(arguments.length === 1) return arguments[0];
  1014. var source = Array.prototype.splice.call(arguments, 1, 1)[0];
  1015. arguments[0] = Object.keys(source).reduce(function(carry, key){
  1016. carry[key] = source[key];
  1017. return carry;
  1018. }, arguments[0]);
  1019. return extend.apply(null, arguments);
  1020. };
  1021. module.exports = {
  1022. extend: extend
  1023. };
  1024. },{}],11:[function(require,module,exports){
  1025. /**
  1026. * @author mrdoob / http://mrdoob.com/
  1027. * @author WestLangley / http://github.com/WestLangley
  1028. * @author bhouston / http://exocortex.com
  1029. */
  1030. THREE.Euler = function ( x, y, z, order ) {
  1031. this._x = x || 0;
  1032. this._y = y || 0;
  1033. this._z = z || 0;
  1034. this._order = order || THREE.Euler.DefaultOrder;
  1035. };
  1036. THREE.Euler.RotationOrders = [ 'XYZ', 'YZX', 'ZXY', 'XZY', 'YXZ', 'ZYX' ];
  1037. THREE.Euler.DefaultOrder = 'XYZ';
  1038. THREE.Euler.prototype = {
  1039. constructor: THREE.Euler,
  1040. _x: 0, _y: 0, _z: 0, _order: THREE.Euler.DefaultOrder,
  1041. get x () {
  1042. return this._x;
  1043. },
  1044. set x ( value ) {
  1045. this._x = value;
  1046. this.onChangeCallback();
  1047. },
  1048. get y () {
  1049. return this._y;
  1050. },
  1051. set y ( value ) {
  1052. this._y = value;
  1053. this.onChangeCallback();
  1054. },
  1055. get z () {
  1056. return this._z;
  1057. },
  1058. set z ( value ) {
  1059. this._z = value;
  1060. this.onChangeCallback();
  1061. },
  1062. get order () {
  1063. return this._order;
  1064. },
  1065. set order ( value ) {
  1066. this._order = value;
  1067. this.onChangeCallback();
  1068. },
  1069. set: function ( x, y, z, order ) {
  1070. this._x = x;
  1071. this._y = y;
  1072. this._z = z;
  1073. this._order = order || this._order;
  1074. this.onChangeCallback();
  1075. return this;
  1076. },
  1077. copy: function ( euler ) {
  1078. this._x = euler._x;
  1079. this._y = euler._y;
  1080. this._z = euler._z;
  1081. this._order = euler._order;
  1082. this.onChangeCallback();
  1083. return this;
  1084. },
  1085. setFromRotationMatrix: function ( m, order, update ) {
  1086. var clamp = THREE.Math.clamp;
  1087. // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
  1088. var te = m.elements;
  1089. var m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ];
  1090. var m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ];
  1091. var m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ];
  1092. order = order || this._order;
  1093. if ( order === 'XYZ' ) {
  1094. this._y = Math.asin( clamp( m13, - 1, 1 ) );
  1095. if ( Math.abs( m13 ) < 0.99999 ) {
  1096. this._x = Math.atan2( - m23, m33 );
  1097. this._z = Math.atan2( - m12, m11 );
  1098. } else {
  1099. this._x = Math.atan2( m32, m22 );
  1100. this._z = 0;
  1101. }
  1102. } else if ( order === 'YXZ' ) {
  1103. this._x = Math.asin( - clamp( m23, - 1, 1 ) );
  1104. if ( Math.abs( m23 ) < 0.99999 ) {
  1105. this._y = Math.atan2( m13, m33 );
  1106. this._z = Math.atan2( m21, m22 );
  1107. } else {
  1108. this._y = Math.atan2( - m31, m11 );
  1109. this._z = 0;
  1110. }
  1111. } else if ( order === 'ZXY' ) {
  1112. this._x = Math.asin( clamp( m32, - 1, 1 ) );
  1113. if ( Math.abs( m32 ) < 0.99999 ) {
  1114. this._y = Math.atan2( - m31, m33 );
  1115. this._z = Math.atan2( - m12, m22 );
  1116. } else {
  1117. this._y = 0;
  1118. this._z = Math.atan2( m21, m11 );
  1119. }
  1120. } else if ( order === 'ZYX' ) {
  1121. this._y = Math.asin( - clamp( m31, - 1, 1 ) );
  1122. if ( Math.abs( m31 ) < 0.99999 ) {
  1123. this._x = Math.atan2( m32, m33 );
  1124. this._z = Math.atan2( m21, m11 );
  1125. } else {
  1126. this._x = 0;
  1127. this._z = Math.atan2( - m12, m22 );
  1128. }
  1129. } else if ( order === 'YZX' ) {
  1130. this._z = Math.asin( clamp( m21, - 1, 1 ) );
  1131. if ( Math.abs( m21 ) < 0.99999 ) {
  1132. this._x = Math.atan2( - m23, m22 );
  1133. this._y = Math.atan2( - m31, m11 );
  1134. } else {
  1135. this._x = 0;
  1136. this._y = Math.atan2( m13, m33 );
  1137. }
  1138. } else if ( order === 'XZY' ) {
  1139. this._z = Math.asin( - clamp( m12, - 1, 1 ) );
  1140. if ( Math.abs( m12 ) < 0.99999 ) {
  1141. this._x = Math.atan2( m32, m22 );
  1142. this._y = Math.atan2( m13, m11 );
  1143. } else {
  1144. this._x = Math.atan2( - m23, m33 );
  1145. this._y = 0;
  1146. }
  1147. } else {
  1148. THREE.warn( 'THREE.Euler: .setFromRotationMatrix() given unsupported order: ' + order )
  1149. }
  1150. this._order = order;
  1151. if ( update !== false ) this.onChangeCallback();
  1152. return this;
  1153. },
  1154. setFromQuaternion: function () {
  1155. var matrix;
  1156. return function ( q, order, update ) {
  1157. if ( matrix === undefined ) matrix = new THREE.Matrix4();
  1158. matrix.makeRotationFromQuaternion( q );
  1159. this.setFromRotationMatrix( matrix, order, update );
  1160. return this;
  1161. };
  1162. }(),
  1163. setFromVector3: function ( v, order ) {
  1164. return this.set( v.x, v.y, v.z, order || this._order );
  1165. },
  1166. reorder: function () {
  1167. // WARNING: this discards revolution information -bhouston
  1168. var q = new THREE.Quaternion();
  1169. return function ( newOrder ) {
  1170. q.setFromEuler( this );
  1171. this.setFromQuaternion( q, newOrder );
  1172. };
  1173. }(),
  1174. equals: function ( euler ) {
  1175. return ( euler._x === this._x ) && ( euler._y === this._y ) && ( euler._z === this._z ) && ( euler._order === this._order );
  1176. },
  1177. fromArray: function ( array ) {
  1178. this._x = array[ 0 ];
  1179. this._y = array[ 1 ];
  1180. this._z = array[ 2 ];
  1181. if ( array[ 3 ] !== undefined ) this._order = array[ 3 ];
  1182. this.onChangeCallback();
  1183. return this;
  1184. },
  1185. toArray: function ( array, offset ) {
  1186. if ( array === undefined ) array = [];
  1187. if ( offset === undefined ) offset = 0;
  1188. array[ offset ] = this._x;
  1189. array[ offset + 1 ] = this._y;
  1190. array[ offset + 2 ] = this._z;
  1191. array[ offset + 3 ] = this._order;
  1192. return array;
  1193. },
  1194. toVector3: function ( optionalResult ) {
  1195. if ( optionalResult ) {
  1196. return optionalResult.set( this._x, this._y, this._z );
  1197. } else {
  1198. return new THREE.Vector3( this._x, this._y, this._z );
  1199. }
  1200. },
  1201. onChange: function ( callback ) {
  1202. this.onChangeCallback = callback;
  1203. return this;
  1204. },
  1205. onChangeCallback: function () {},
  1206. clone: function () {
  1207. return new THREE.Euler( this._x, this._y, this._z, this._order );
  1208. }
  1209. };
  1210. },{}],12:[function(require,module,exports){
  1211. /**
  1212. * @author mikael emtinger / http://gomo.se/
  1213. * @author alteredq / http://alteredqualia.com/
  1214. * @author WestLangley / http://github.com/WestLangley
  1215. * @author bhouston / http://exocortex.com
  1216. */
  1217. THREE.Quaternion = function ( x, y, z, w ) {
  1218. this._x = x || 0;
  1219. this._y = y || 0;
  1220. this._z = z || 0;
  1221. this._w = ( w !== undefined ) ? w : 1;
  1222. };
  1223. THREE.Quaternion.prototype = {
  1224. constructor: THREE.Quaternion,
  1225. _x: 0,_y: 0, _z: 0, _w: 0,
  1226. get x () {
  1227. return this._x;
  1228. },
  1229. set x ( value ) {
  1230. this._x = value;
  1231. this.onChangeCallback();
  1232. },
  1233. get y () {
  1234. return this._y;
  1235. },
  1236. set y ( value ) {
  1237. this._y = value;
  1238. this.onChangeCallback();
  1239. },
  1240. get z () {
  1241. return this._z;
  1242. },
  1243. set z ( value ) {
  1244. this._z = value;
  1245. this.onChangeCallback();
  1246. },
  1247. get w () {
  1248. return this._w;
  1249. },
  1250. set w ( value ) {
  1251. this._w = value;
  1252. this.onChangeCallback();
  1253. },
  1254. set: function ( x, y, z, w ) {
  1255. this._x = x;
  1256. this._y = y;
  1257. this._z = z;
  1258. this._w = w;
  1259. this.onChangeCallback();
  1260. return this;
  1261. },
  1262. copy: function ( quaternion ) {
  1263. this._x = quaternion.x;
  1264. this._y = quaternion.y;
  1265. this._z = quaternion.z;
  1266. this._w = quaternion.w;
  1267. this.onChangeCallback();
  1268. return this;
  1269. },
  1270. setFromEuler: function ( euler, update ) {
  1271. if ( euler instanceof THREE.Euler === false ) {
  1272. throw new Error( 'THREE.Quaternion: .setFromEuler() now expects a Euler rotation rather than a Vector3 and order.' );
  1273. }
  1274. // http://www.mathworks.com/matlabcentral/fileexchange/
  1275. // 20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/
  1276. // content/SpinCalc.m
  1277. var c1 = Math.cos( euler._x / 2 );
  1278. var c2 = Math.cos( euler._y / 2 );
  1279. var c3 = Math.cos( euler._z / 2 );
  1280. var s1 = Math.sin( euler._x / 2 );
  1281. var s2 = Math.sin( euler._y / 2 );
  1282. var s3 = Math.sin( euler._z / 2 );
  1283. if ( euler.order === 'XYZ' ) {
  1284. this._x = s1 * c2 * c3 + c1 * s2 * s3;
  1285. this._y = c1 * s2 * c3 - s1 * c2 * s3;
  1286. this._z = c1 * c2 * s3 + s1 * s2 * c3;
  1287. this._w = c1 * c2 * c3 - s1 * s2 * s3;
  1288. } else if ( euler.order === 'YXZ' ) {
  1289. this._x = s1 * c2 * c3 + c1 * s2 * s3;
  1290. this._y = c1 * s2 * c3 - s1 * c2 * s3;
  1291. this._z = c1 * c2 * s3 - s1 * s2 * c3;
  1292. this._w = c1 * c2 * c3 + s1 * s2 * s3;
  1293. } else if ( euler.order === 'ZXY' ) {
  1294. this._x = s1 * c2 * c3 - c1 * s2 * s3;
  1295. this._y = c1 * s2 * c3 + s1 * c2 * s3;
  1296. this._z = c1 * c2 * s3 + s1 * s2 * c3;
  1297. this._w = c1 * c2 * c3 - s1 * s2 * s3;
  1298. } else if ( euler.order === 'ZYX' ) {
  1299. this._x = s1 * c2 * c3 - c1 * s2 * s3;
  1300. this._y = c1 * s2 * c3 + s1 * c2 * s3;
  1301. this._z = c1 * c2 * s3 - s1 * s2 * c3;
  1302. this._w = c1 * c2 * c3 + s1 * s2 * s3;
  1303. } else if ( euler.order === 'YZX' ) {
  1304. this._x = s1 * c2 * c3 + c1 * s2 * s3;
  1305. this._y = c1 * s2 * c3 + s1 * c2 * s3;
  1306. this._z = c1 * c2 * s3 - s1 * s2 * c3;
  1307. this._w = c1 * c2 * c3 - s1 * s2 * s3;
  1308. } else if ( euler.order === 'XZY' ) {
  1309. this._x = s1 * c2 * c3 - c1 * s2 * s3;
  1310. this._y = c1 * s2 * c3 - s1 * c2 * s3;
  1311. this._z = c1 * c2 * s3 + s1 * s2 * c3;
  1312. this._w = c1 * c2 * c3 + s1 * s2 * s3;
  1313. }
  1314. if ( update !== false ) this.onChangeCallback();
  1315. return this;
  1316. },
  1317. setFromAxisAngle: function ( axis, angle ) {
  1318. // http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm
  1319. // assumes axis is normalized
  1320. var halfAngle = angle / 2, s = Math.sin( halfAngle );
  1321. this._x = axis.x * s;
  1322. this._y = axis.y * s;
  1323. this._z = axis.z * s;
  1324. this._w = Math.cos( halfAngle );
  1325. this.onChangeCallback();
  1326. return this;
  1327. },
  1328. setFromRotationMatrix: function ( m ) {
  1329. // http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
  1330. // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
  1331. var te = m.elements,
  1332. m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ],
  1333. m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ],
  1334. m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ],
  1335. trace = m11 + m22 + m33,
  1336. s;
  1337. if ( trace > 0 ) {
  1338. s = 0.5 / Math.sqrt( trace + 1.0 );
  1339. this._w = 0.25 / s;
  1340. this._x = ( m32 - m23 ) * s;
  1341. this._y = ( m13 - m31 ) * s;
  1342. this._z = ( m21 - m12 ) * s;
  1343. } else if ( m11 > m22 && m11 > m33 ) {
  1344. s = 2.0 * Math.sqrt( 1.0 + m11 - m22 - m33 );
  1345. this._w = ( m32 - m23 ) / s;
  1346. this._x = 0.25 * s;
  1347. this._y = ( m12 + m21 ) / s;
  1348. this._z = ( m13 + m31 ) / s;
  1349. } else if ( m22 > m33 ) {
  1350. s = 2.0 * Math.sqrt( 1.0 + m22 - m11 - m33 );
  1351. this._w = ( m13 - m31 ) / s;
  1352. this._x = ( m12 + m21 ) / s;
  1353. this._y = 0.25 * s;
  1354. this._z = ( m23 + m32 ) / s;
  1355. } else {
  1356. s = 2.0 * Math.sqrt( 1.0 + m33 - m11 - m22 );
  1357. this._w = ( m21 - m12 ) / s;
  1358. this._x = ( m13 + m31 ) / s;
  1359. this._y = ( m23 + m32 ) / s;
  1360. this._z = 0.25 * s;
  1361. }
  1362. this.onChangeCallback();
  1363. return this;
  1364. },
  1365. setFromUnitVectors: function () {
  1366. // http://lolengine.net/blog/2014/02/24/quaternion-from-two-vectors-final
  1367. // assumes direction vectors vFrom and vTo are normalized
  1368. var v1, r;
  1369. var EPS = 0.000001;
  1370. return function ( vFrom, vTo ) {
  1371. if ( v1 === undefined ) v1 = new THREE.Vector3();
  1372. r = vFrom.dot( vTo ) + 1;
  1373. if ( r < EPS ) {
  1374. r = 0;
  1375. if ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) {
  1376. v1.set( - vFrom.y, vFrom.x, 0 );
  1377. } else {
  1378. v1.set( 0, - vFrom.z, vFrom.y );
  1379. }
  1380. } else {
  1381. v1.crossVectors( vFrom, vTo );
  1382. }
  1383. this._x = v1.x;
  1384. this._y = v1.y;
  1385. this._z = v1.z;
  1386. this._w = r;
  1387. this.normalize();
  1388. return this;
  1389. }
  1390. }(),
  1391. inverse: function () {
  1392. this.conjugate().normalize();
  1393. return this;
  1394. },
  1395. conjugate: function () {
  1396. this._x *= - 1;
  1397. this._y *= - 1;
  1398. this._z *= - 1;
  1399. this.onChangeCallback();
  1400. return this;
  1401. },
  1402. dot: function ( v ) {
  1403. return this._x * v._x + this._y * v._y + this._z * v._z + this._w * v._w;
  1404. },
  1405. lengthSq: function () {
  1406. return this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w;
  1407. },
  1408. length: function () {
  1409. return Math.sqrt( this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w );
  1410. },
  1411. normalize: function () {
  1412. var l = this.length();
  1413. if ( l === 0 ) {
  1414. this._x = 0;
  1415. this._y = 0;
  1416. this._z = 0;
  1417. this._w = 1;
  1418. } else {
  1419. l = 1 / l;
  1420. this._x = this._x * l;
  1421. this._y = this._y * l;
  1422. this._z = this._z * l;
  1423. this._w = this._w * l;
  1424. }
  1425. this.onChangeCallback();
  1426. return this;
  1427. },
  1428. multiply: function ( q, p ) {
  1429. if ( p !== undefined ) {
  1430. THREE.warn( 'THREE.Quaternion: .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead.' );
  1431. return this.multiplyQuaternions( q, p );
  1432. }
  1433. return this.multiplyQuaternions( this, q );
  1434. },
  1435. multiplyQuaternions: function ( a, b ) {
  1436. // from http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm
  1437. var qax = a._x, qay = a._y, qaz = a._z, qaw = a._w;
  1438. var qbx = b._x, qby = b._y, qbz = b._z, qbw = b._w;
  1439. this._x = qax * qbw + qaw * qbx + qay * qbz - qaz * qby;
  1440. this._y = qay * qbw + qaw * qby + qaz * qbx - qax * qbz;
  1441. this._z = qaz * qbw + qaw * qbz + qax * qby - qay * qbx;
  1442. this._w = qaw * qbw - qax * qbx - qay * qby - qaz * qbz;
  1443. this.onChangeCallback();
  1444. return this;
  1445. },
  1446. multiplyVector3: function ( vector ) {
  1447. THREE.warn( 'THREE.Quaternion: .multiplyVector3() has been removed. Use is now vector.applyQuaternion( quaternion ) instead.' );
  1448. return vector.applyQuaternion( this );
  1449. },
  1450. slerp: function ( qb, t ) {
  1451. if ( t === 0 ) return this;
  1452. if ( t === 1 ) return this.copy( qb );
  1453. var x = this._x, y = this._y, z = this._z, w = this._w;
  1454. // http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/
  1455. var cosHalfTheta = w * qb._w + x * qb._x + y * qb._y + z * qb._z;
  1456. if ( cosHalfTheta < 0 ) {
  1457. this._w = - qb._w;
  1458. this._x = - qb._x;
  1459. this._y = - qb._y;
  1460. this._z = - qb._z;
  1461. cosHalfTheta = - cosHalfTheta;
  1462. } else {
  1463. this.copy( qb );
  1464. }
  1465. if ( cosHalfTheta >= 1.0 ) {
  1466. this._w = w;
  1467. this._x = x;
  1468. this._y = y;
  1469. this._z = z;
  1470. return this;
  1471. }
  1472. var halfTheta = Math.acos( cosHalfTheta );
  1473. var sinHalfTheta = Math.sqrt( 1.0 - cosHalfTheta * cosHalfTheta );
  1474. if ( Math.abs( sinHalfTheta ) < 0.001 ) {
  1475. this._w = 0.5 * ( w + this._w );
  1476. this._x = 0.5 * ( x + this._x );
  1477. this._y = 0.5 * ( y + this._y );
  1478. this._z = 0.5 * ( z + this._z );
  1479. return this;
  1480. }
  1481. var ratioA = Math.sin( ( 1 - t ) * halfTheta ) / sinHalfTheta,
  1482. ratioB = Math.sin( t * halfTheta ) / sinHalfTheta;
  1483. this._w = ( w * ratioA + this._w * ratioB );
  1484. this._x = ( x * ratioA + this._x * ratioB );
  1485. this._y = ( y * ratioA + this._y * ratioB );
  1486. this._z = ( z * ratioA + this._z * ratioB );
  1487. this.onChangeCallback();
  1488. return this;
  1489. },
  1490. equals: function ( quaternion ) {
  1491. return ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w );
  1492. },
  1493. fromArray: function ( array, offset ) {
  1494. if ( offset === undefined ) offset = 0;
  1495. this._x = array[ offset ];
  1496. this._y = array[ offset + 1 ];
  1497. this._z = array[ offset + 2 ];
  1498. this._w = array[ offset + 3 ];
  1499. this.onChangeCallback();
  1500. return this;
  1501. },
  1502. toArray: function ( array, offset ) {
  1503. if ( array === undefined ) array = [];
  1504. if ( offset === undefined ) offset = 0;
  1505. array[ offset ] = this._x;
  1506. array[ offset + 1 ] = this._y;
  1507. array[ offset + 2 ] = this._z;
  1508. array[ offset + 3 ] = this._w;
  1509. return array;
  1510. },
  1511. onChange: function ( callback ) {
  1512. this.onChangeCallback = callback;
  1513. return this;
  1514. },
  1515. onChangeCallback: function () {},
  1516. clone: function () {
  1517. return new THREE.Quaternion( this._x, this._y, this._z, this._w );
  1518. }
  1519. };
  1520. THREE.Quaternion.slerp = function ( qa, qb, qm, t ) {
  1521. return qm.copy( qa ).slerp( qb, t );
  1522. }
  1523. },{}],13:[function(require,module,exports){
  1524. /**
  1525. * @author mrdoob / http://mrdoob.com/
  1526. * @author *kile / http://kile.stravaganza.org/
  1527. * @author philogb / http://blog.thejit.org/
  1528. * @author mikael emtinger / http://gomo.se/
  1529. * @author egraether / http://egraether.com/
  1530. * @author WestLangley / http://github.com/WestLangley
  1531. */
  1532. THREE.Vector3 = function ( x, y, z ) {
  1533. this.x = x || 0;
  1534. this.y = y || 0;
  1535. this.z = z || 0;
  1536. };
  1537. THREE.Vector3.prototype = {
  1538. constructor: THREE.Vector3,
  1539. set: function ( x, y, z ) {
  1540. this.x = x;
  1541. this.y = y;
  1542. this.z = z;
  1543. return this;
  1544. },
  1545. setX: function ( x ) {
  1546. this.x = x;
  1547. return this;
  1548. },
  1549. setY: function ( y ) {
  1550. this.y = y;
  1551. return this;
  1552. },
  1553. setZ: function ( z ) {
  1554. this.z = z;
  1555. return this;
  1556. },
  1557. setComponent: function ( index, value ) {
  1558. switch ( index ) {
  1559. case 0: this.x = value; break;
  1560. case 1: this.y = value; break;
  1561. case 2: this.z = value; break;
  1562. default: throw new Error( 'index is out of range: ' + index );
  1563. }
  1564. },
  1565. getComponent: function ( index ) {
  1566. switch ( index ) {
  1567. case 0: return this.x;
  1568. case 1: return this.y;
  1569. case 2: return this.z;
  1570. default: throw new Error( 'index is out of range: ' + index );
  1571. }
  1572. },
  1573. copy: function ( v ) {
  1574. this.x = v.x;
  1575. this.y = v.y;
  1576. this.z = v.z;
  1577. return this;
  1578. },
  1579. add: function ( v, w ) {
  1580. if ( w !== undefined ) {
  1581. THREE.warn( 'THREE.Vector3: .add() now only accepts one argument. Use .addVectors( a, b ) instead.' );
  1582. return this.addVectors( v, w );
  1583. }
  1584. this.x += v.x;
  1585. this.y += v.y;
  1586. this.z += v.z;
  1587. return this;
  1588. },
  1589. addScalar: function ( s ) {
  1590. this.x += s;
  1591. this.y += s;
  1592. this.z += s;
  1593. return this;
  1594. },
  1595. addVectors: function ( a, b ) {
  1596. this.x = a.x + b.x;
  1597. this.y = a.y + b.y;
  1598. this.z = a.z + b.z;
  1599. return this;
  1600. },
  1601. sub: function ( v, w ) {
  1602. if ( w !== undefined ) {
  1603. THREE.warn( 'THREE.Vector3: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' );
  1604. return this.subVectors( v, w );
  1605. }
  1606. this.x -= v.x;
  1607. this.y -= v.y;
  1608. this.z -= v.z;
  1609. return this;
  1610. },
  1611. subScalar: function ( s ) {
  1612. this.x -= s;
  1613. this.y -= s;
  1614. this.z -= s;
  1615. return this;
  1616. },
  1617. subVectors: function ( a, b ) {
  1618. this.x = a.x - b.x;
  1619. this.y = a.y - b.y;
  1620. this.z = a.z - b.z;
  1621. return this;
  1622. },
  1623. multiply: function ( v, w ) {
  1624. if ( w !== undefined ) {
  1625. THREE.warn( 'THREE.Vector3: .multiply() now only accepts one argument. Use .multiplyVectors( a, b ) instead.' );
  1626. return this.multiplyVectors( v, w );
  1627. }
  1628. this.x *= v.x;
  1629. this.y *= v.y;
  1630. this.z *= v.z;
  1631. return this;
  1632. },
  1633. multiplyScalar: function ( scalar ) {
  1634. this.x *= scalar;
  1635. this.y *= scalar;
  1636. this.z *= scalar;
  1637. return this;
  1638. },
  1639. multiplyVectors: function ( a, b ) {
  1640. this.x = a.x * b.x;
  1641. this.y = a.y * b.y;
  1642. this.z = a.z * b.z;
  1643. return this;
  1644. },
  1645. applyEuler: function () {
  1646. var quaternion;
  1647. return function ( euler ) {
  1648. if ( euler instanceof THREE.Euler === false ) {
  1649. THREE.error( 'THREE.Vector3: .applyEuler() now expects a Euler rotation rather than a Vector3 and order.' );
  1650. }
  1651. if ( quaternion === undefined ) quaternion = new THREE.Quaternion();
  1652. this.applyQuaternion( quaternion.setFromEuler( euler ) );
  1653. return this;
  1654. };
  1655. }(),
  1656. applyAxisAngle: function () {
  1657. var quaternion;
  1658. return function ( axis, angle ) {
  1659. if ( quaternion === undefined ) quaternion = new THREE.Quaternion();
  1660. this.applyQuaternion( quaternion.setFromAxisAngle( axis, angle ) );
  1661. return this;
  1662. };
  1663. }(),
  1664. applyMatrix3: function ( m ) {
  1665. var x = this.x;
  1666. var y = this.y;
  1667. var z = this.z;
  1668. var e = m.elements;
  1669. this.x = e[ 0 ] * x + e[ 3 ] * y + e[ 6 ] * z;
  1670. this.y = e[ 1 ] * x + e[ 4 ] * y + e[ 7 ] * z;
  1671. this.z = e[ 2 ] * x + e[ 5 ] * y + e[ 8 ] * z;
  1672. return this;
  1673. },
  1674. applyMatrix4: function ( m ) {
  1675. // input: THREE.Matrix4 affine matrix
  1676. var x = this.x, y = this.y, z = this.z;
  1677. var e = m.elements;
  1678. this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ];
  1679. this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ];
  1680. this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ];
  1681. return this;
  1682. },
  1683. applyProjection: function ( m ) {
  1684. // input: THREE.Matrix4 projection matrix
  1685. var x = this.x, y = this.y, z = this.z;
  1686. var e = m.elements;
  1687. var d = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] ); // perspective divide
  1688. this.x = ( e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ] ) * d;
  1689. this.y = ( e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ] ) * d;
  1690. this.z = ( e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] ) * d;
  1691. return this;
  1692. },
  1693. applyQuaternion: function ( q ) {
  1694. var x = this.x;
  1695. var y = this.y;
  1696. var z = this.z;
  1697. var qx = q.x;
  1698. var qy = q.y;
  1699. var qz = q.z;
  1700. var qw = q.w;
  1701. // calculate quat * vector
  1702. var ix = qw * x + qy * z - qz * y;
  1703. var iy = qw * y + qz * x - qx * z;
  1704. var iz = qw * z + qx * y - qy * x;
  1705. var iw = - qx * x - qy * y - qz * z;
  1706. // calculate result * inverse quat
  1707. this.x = ix * qw + iw * - qx + iy * - qz - iz * - qy;
  1708. this.y = iy * qw + iw * - qy + iz * - qx - ix * - qz;
  1709. this.z = iz * qw + iw * - qz + ix * - qy - iy * - qx;
  1710. return this;
  1711. },
  1712. project: function () {
  1713. var matrix;
  1714. return function ( camera ) {
  1715. if ( matrix === undefined ) matrix = new THREE.Matrix4();
  1716. matrix.multiplyMatrices( camera.projectionMatrix, matrix.getInverse( camera.matrixWorld ) );
  1717. return this.applyProjection( matrix );
  1718. };
  1719. }(),
  1720. unproject: function () {
  1721. var matrix;
  1722. return function ( camera ) {
  1723. if ( matrix === undefined ) matrix = new THREE.Matrix4();
  1724. matrix.multiplyMatrices( camera.matrixWorld, matrix.getInverse( camera.projectionMatrix ) );
  1725. return this.applyProjection( matrix );
  1726. };
  1727. }(),
  1728. transformDirection: function ( m ) {
  1729. // input: THREE.Matrix4 affine matrix
  1730. // vector interpreted as a direction
  1731. var x = this.x, y = this.y, z = this.z;
  1732. var e = m.elements;
  1733. this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z;
  1734. this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z;
  1735. this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z;
  1736. this.normalize();
  1737. return this;
  1738. },
  1739. divide: function ( v ) {
  1740. this.x /= v.x;
  1741. this.y /= v.y;
  1742. this.z /= v.z;
  1743. return this;
  1744. },
  1745. divideScalar: function ( scalar ) {
  1746. if ( scalar !== 0 ) {
  1747. var invScalar = 1 / scalar;
  1748. this.x *= invScalar;
  1749. this.y *= invScalar;
  1750. this.z *= invScalar;
  1751. } else {
  1752. this.x = 0;
  1753. this.y = 0;
  1754. this.z = 0;
  1755. }
  1756. return this;
  1757. },
  1758. min: function ( v ) {
  1759. if ( this.x > v.x ) {
  1760. this.x = v.x;
  1761. }
  1762. if ( this.y > v.y ) {
  1763. this.y = v.y;
  1764. }
  1765. if ( this.z > v.z ) {
  1766. this.z = v.z;
  1767. }
  1768. return this;
  1769. },
  1770. max: function ( v ) {
  1771. if ( this.x < v.x ) {
  1772. this.x = v.x;
  1773. }
  1774. if ( this.y < v.y ) {
  1775. this.y = v.y;
  1776. }
  1777. if ( this.z < v.z ) {
  1778. this.z = v.z;
  1779. }
  1780. return this;
  1781. },
  1782. clamp: function ( min, max ) {
  1783. // This function assumes min < max, if this assumption isn't true it will not operate correctly
  1784. if ( this.x < min.x ) {
  1785. this.x = min.x;
  1786. } else if ( this.x > max.x ) {
  1787. this.x = max.x;
  1788. }
  1789. if ( this.y < min.y ) {
  1790. this.y = min.y;
  1791. } else if ( this.y > max.y ) {
  1792. this.y = max.y;
  1793. }
  1794. if ( this.z < min.z ) {
  1795. this.z = min.z;
  1796. } else if ( this.z > max.z ) {
  1797. this.z = max.z;
  1798. }
  1799. return this;
  1800. },
  1801. clampScalar: ( function () {
  1802. var min, max;
  1803. return function ( minVal, maxVal ) {
  1804. if ( min === undefined ) {
  1805. min = new THREE.Vector3();
  1806. max = new THREE.Vector3();
  1807. }
  1808. min.set( minVal, minVal, minVal );
  1809. max.set( maxVal, maxVal, maxVal );
  1810. return this.clamp( min, max );
  1811. };
  1812. } )(),
  1813. floor: function () {
  1814. this.x = Math.floor( this.x );
  1815. this.y = Math.floor( this.y );
  1816. this.z = Math.floor( this.z );
  1817. return this;
  1818. },
  1819. ceil: function () {
  1820. this.x = Math.ceil( this.x );
  1821. this.y = Math.ceil( this.y );
  1822. this.z = Math.ceil( this.z );
  1823. return this;
  1824. },
  1825. round: function () {
  1826. this.x = Math.round( this.x );
  1827. this.y = Math.round( this.y );
  1828. this.z = Math.round( this.z );
  1829. return this;
  1830. },
  1831. roundToZero: function () {
  1832. this.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x );
  1833. this.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y );
  1834. this.z = ( this.z < 0 ) ? Math.ceil( this.z ) : Math.floor( this.z );
  1835. return this;
  1836. },
  1837. negate: function () {
  1838. this.x = - this.x;
  1839. this.y = - this.y;
  1840. this.z = - this.z;
  1841. return this;
  1842. },
  1843. dot: function ( v ) {
  1844. return this.x * v.x + this.y * v.y + this.z * v.z;
  1845. },
  1846. lengthSq: function () {
  1847. return this.x * this.x + this.y * this.y + this.z * this.z;
  1848. },
  1849. length: function () {
  1850. return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z );
  1851. },
  1852. lengthManhattan: function () {
  1853. return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z );
  1854. },
  1855. normalize: function () {
  1856. return this.divideScalar( this.length() );
  1857. },
  1858. setLength: function ( l ) {
  1859. var oldLength = this.length();
  1860. if ( oldLength !== 0 && l !== oldLength ) {
  1861. this.multiplyScalar( l / oldLength );
  1862. }
  1863. return this;
  1864. },
  1865. lerp: function ( v, alpha ) {
  1866. this.x += ( v.x - this.x ) * alpha;
  1867. this.y += ( v.y - this.y ) * alpha;
  1868. this.z += ( v.z - this.z ) * alpha;
  1869. return this;
  1870. },
  1871. lerpVectors: function ( v1, v2, alpha ) {
  1872. this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 );
  1873. return this;
  1874. },
  1875. cross: function ( v, w ) {
  1876. if ( w !== undefined ) {
  1877. THREE.warn( 'THREE.Vector3: .cross() now only accepts one argument. Use .crossVectors( a, b ) instead.' );
  1878. return this.crossVectors( v, w );
  1879. }
  1880. var x = this.x, y = this.y, z = this.z;
  1881. this.x = y * v.z - z * v.y;
  1882. this.y = z * v.x - x * v.z;
  1883. this.z = x * v.y - y * v.x;
  1884. return this;
  1885. },
  1886. crossVectors: function ( a, b ) {
  1887. var ax = a.x, ay = a.y, az = a.z;
  1888. var bx = b.x, by = b.y, bz = b.z;
  1889. this.x = ay * bz - az * by;
  1890. this.y = az * bx - ax * bz;
  1891. this.z = ax * by - ay * bx;
  1892. return this;
  1893. },
  1894. projectOnVector: function () {
  1895. var v1, dot;
  1896. return function ( vector ) {
  1897. if ( v1 === undefined ) v1 = new THREE.Vector3();
  1898. v1.copy( vector ).normalize();
  1899. dot = this.dot( v1 );
  1900. return this.copy( v1 ).multiplyScalar( dot );
  1901. };
  1902. }(),
  1903. projectOnPlane: function () {
  1904. var v1;
  1905. return function ( planeNormal ) {
  1906. if ( v1 === undefined ) v1 = new THREE.Vector3();
  1907. v1.copy( this ).projectOnVector( planeNormal );
  1908. return this.sub( v1 );
  1909. }
  1910. }(),
  1911. reflect: function () {
  1912. // reflect incident vector off plane orthogonal to normal
  1913. // normal is assumed to have unit length
  1914. var v1;
  1915. return function ( normal ) {
  1916. if ( v1 === undefined ) v1 = new THREE.Vector3();
  1917. return this.sub( v1.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) );
  1918. }
  1919. }(),
  1920. angleTo: function ( v ) {
  1921. var theta = this.dot( v ) / ( this.length() * v.length() );
  1922. // clamp, to handle numerical problems
  1923. return Math.acos( THREE.Math.clamp( theta, - 1, 1 ) );
  1924. },
  1925. distanceTo: function ( v ) {
  1926. return Math.sqrt( this.distanceToSquared( v ) );
  1927. },
  1928. distanceToSquared: function ( v ) {
  1929. var dx = this.x - v.x;
  1930. var dy = this.y - v.y;
  1931. var dz = this.z - v.z;
  1932. return dx * dx + dy * dy + dz * dz;
  1933. },
  1934. setEulerFromRotationMatrix: function ( m, order ) {
  1935. THREE.error( 'THREE.Vector3: .setEulerFromRotationMatrix() has been removed. Use Euler.setFromRotationMatrix() instead.' );
  1936. },
  1937. setEulerFromQuaternion: function ( q, order ) {
  1938. THREE.error( 'THREE.Vector3: .setEulerFromQuaternion() has been removed. Use Euler.setFromQuaternion() instead.' );
  1939. },
  1940. getPositionFromMatrix: function ( m ) {
  1941. THREE.warn( 'THREE.Vector3: .getPositionFromMatrix() has been renamed to .setFromMatrixPosition().' );
  1942. return this.setFromMatrixPosition( m );
  1943. },
  1944. getScaleFromMatrix: function ( m ) {
  1945. THREE.warn( 'THREE.Vector3: .getScaleFromMatrix() has been renamed to .setFromMatrixScale().' );
  1946. return this.setFromMatrixScale( m );
  1947. },
  1948. getColumnFromMatrix: function ( index, matrix ) {
  1949. THREE.warn( 'THREE.Vector3: .getColumnFromMatrix() has been renamed to .setFromMatrixColumn().' );
  1950. return this.setFromMatrixColumn( index, matrix );
  1951. },
  1952. setFromMatrixPosition: function ( m ) {
  1953. this.x = m.elements[ 12 ];
  1954. this.y = m.elements[ 13 ];
  1955. this.z = m.elements[ 14 ];
  1956. return this;
  1957. },
  1958. setFromMatrixScale: function ( m ) {
  1959. var sx = this.set( m.elements[ 0 ], m.elements[ 1 ], m.elements[ 2 ] ).length();
  1960. var sy = this.set( m.elements[ 4 ], m.elements[ 5 ], m.elements[ 6 ] ).length();
  1961. var sz = this.set( m.elements[ 8 ], m.elements[ 9 ], m.elements[ 10 ] ).length();
  1962. this.x = sx;
  1963. this.y = sy;
  1964. this.z = sz;
  1965. return this;
  1966. },
  1967. setFromMatrixColumn: function ( index, matrix ) {
  1968. var offset = index * 4;
  1969. var me = matrix.elements;
  1970. this.x = me[ offset ];
  1971. this.y = me[ offset + 1 ];
  1972. this.z = me[ offset + 2 ];
  1973. return this;
  1974. },
  1975. equals: function ( v ) {
  1976. return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );
  1977. },
  1978. fromArray: function ( array, offset ) {
  1979. if ( offset === undefined ) offset = 0;
  1980. this.x = array[ offset ];
  1981. this.y = array[ offset + 1 ];
  1982. this.z = array[ offset + 2 ];
  1983. return this;
  1984. },
  1985. toArray: function ( array, offset ) {
  1986. if ( array === undefined ) array = [];
  1987. if ( offset === undefined ) offset = 0;
  1988. array[ offset ] = this.x;
  1989. array[ offset + 1 ] = this.y;
  1990. array[ offset + 2 ] = this.z;
  1991. return array;
  1992. },
  1993. fromAttribute: function ( attribute, index, offset ) {
  1994. if ( offset === undefined ) offset = 0;
  1995. index = index * attribute.itemSize + offset;
  1996. this.x = attribute.array[ index ];
  1997. this.y = attribute.array[ index + 1 ];
  1998. this.z = attribute.array[ index + 2 ];
  1999. return this;
  2000. },
  2001. clone: function () {
  2002. return new THREE.Vector3( this.x, this.y, this.z );
  2003. }
  2004. };
  2005. },{}]},{},[1])
  2006. //# 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e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require==\"function\"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error(\"Cannot find module '\"+o+\"'\");throw f.code=\"MODULE_NOT_FOUND\",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require==\"function\"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})","\n'use strict';\nvar SolarSystem = require('./SolarSystem');\n\n\nvar global = window.lagrange = window.lagrange || {};\n\nglobal.planet_positions = module.exports = {\n\tgetPositions: function(userDate){\n\t\treturn SolarSystem.getPositions(userDate);\n\t}\n};","\r\n'use strict';\r\n\r\nvar OrbitalElements = require('./OrbitalElements');\r\nvar ns = require('ns');\r\nvar THREE = require('./Three.shim');\r\n\r\nvar CelestialBody = {\r\n\r\n\tinit : function() {\r\n\t\tthis.reset();\r\n\t\tthis.movement = new THREE.Vector3();\r\n\t\tthis.invMass = 1 / this.mass;\r\n\r\n\t\tthis.orbitalElements = Object.create(OrbitalElements);\r\n\t\tthis.orbitalElements.setName(this.name);\r\n\t\tthis.orbitalElements.setDefaultOrbit(this.orbit, this.orbitCalculator);\r\n\t\t//console.log(this.name, this.position, this.velocity);\r\n\r\n\t},\r\n\r\n\treset : function(){\r\n\t\tthis.angle = 0;\r\n\t\tthis.force = new THREE.Vector3();\r\n\t\tthis.movement = new THREE.Vector3();\r\n\t\tthis.previousPosition = null;\r\n\t},\r\n\r\n\t//if epoch start is not j2000, get epoch time from j2000 epoch time\r\n\tgetEpochTime : function(epochTime) {\r\n\t\tif(this.epoch) {\r\n\t\t\tepochTime = epochTime - ((this.epoch.getTime() - ns.J2000) / 1000);\r\n\t\t}\r\n\t\treturn epochTime;\r\n\t},\r\n\r\n\tsetPositionFromDate : function(epochTime, calculateVelocity) {\r\n\r\n\t\tepochTime = this.getEpochTime(epochTime);\r\n\t\tthis.position = this.isCentral ? new THREE.Vector3() : this.orbitalElements.getPositionFromElements(this.orbitalElements.calculateElements(epochTime));\r\n\t\tthis.relativePosition = new THREE.Vector3();\r\n\t\tif(calculateVelocity) {\r\n\t\t\tthis.velocity = this.isCentral ? new THREE.Vector3() : this.orbitalElements.calculateVelocity(epochTime, this.relativeTo, this.calculateFromElements);\r\n\t\t}\r\n\t\tthis.positionRelativeTo();\t\t\r\n\t},\r\n\t\r\n\tgetAngleTo : function(bodyName){\r\n\t\tvar ref = require('./SolarSystem').getBody(bodyName);\r\n\t\tif(ref) {\r\n\t\t\t\r\n\t\t\tvar eclPos = this.position.clone().sub(ref.getPosition()).normalize();\r\n\t\t\teclPos.z = 0;\r\n\t\t\tvar angleX = eclPos.angleTo(new THREE.Vector3(1, 0, 0));\r\n\t\t\tvar angleY = eclPos.angleTo(new THREE.Vector3(0, 1, 0));\r\n\t\t\t//console.log(angleX, angleY);\r\n\t\t\tvar angle = angleX;\r\n\t\t\tvar q = Math.PI / 2;\r\n\t\t\tif(angleY > q) angle = -angleX;\r\n\t\t\treturn angle;\r\n\t\t}\r\n\t\treturn 0;\r\n\t},\r\n\r\n\tpositionRelativeTo : function(){\r\n\t\tif(this.relativeTo) {\r\n\t\t\tvar central = require('./SolarSystem').getBody(this.relativeTo);\r\n\t\t\tif(central && central!==require('./SolarSystem').getBody()/**/) {\r\n\t\t\t\tthis.position.add(central.position);\r\n\t\t\t\t//console.log(this.name+' pos rel to ' + this.relativeTo);\r\n\t\t\t\tthis.velocity && central.velocity && this.velocity.add(central.velocity);\r\n\t\t\t}\r\n\t\t}\r\n\t},\r\n\r\n\tcalculatePosition : function(t) {\r\n\t\treturn this.orbitalElements.calculatePosition(t);\r\n\t},\r\n\r\n\tgetPosition : function(){\r\n\t\treturn this.position.clone();\r\n\t},\r\n\r\n\tgetVelocity : function(){\r\n\t\treturn this.velocity && this.velocity.clone();\r\n\t},\r\n\t//return true/false if this body is orbiting the requested body\r\n\tisOrbitAround : function(celestial){\r\n\t\treturn celestial.name === this.relativeTo;\r\n\t}\r\n};\r\n\r\nmodule.exports = CelestialBody;\r\n","'use strict';\r\nvar ns = require('ns');\r\nvar MoonRealOrbit = require('./MoonRealOrbit');\r\n\r\nmodule.exports = [\r\n\t{\r\n\t\tname: 'sun',\r\n\t\ttitle : 'The Sun',\r\n\t\tmass : 1.9891e30,\r\n\t\tradius : 6.96342e5,\r\n\t\tk : 0.01720209895 //gravitational constant (μ)\r\n\t},\r\n\t{\r\n\t \tname: 'mercury',\r\n\t\ttitle : 'Mercury',\r\n\t\tmass : 3.3022e23,\r\n\t\tradius:2439,\r\n\t\torbit : { \r\n\t\t\tbase : {a : 0.38709927 * ns.AU ,  e : 0.20563593, i: 7.00497902, l : 252.25032350, lp : 77.45779628, o : 48.33076593},\r\n\t\t\tcy : {a : 0.00000037 * ns.AU ,  e : 0.00001906, i: -0.00594749, l : 149472.67411175, lp : 0.16047689, o : -0.12534081}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname: 'venus',\r\n\t\ttitle : 'Venus',\r\n\t\tmass : 4.868e24,\r\n\t\tradius : 6051,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 0.72333566 * ns.AU ,  e : 0.00677672, i: 3.39467605, l : 181.97909950, lp : 131.60246718, o : 76.67984255},\r\n\t\t\tcy : {a : 0.00000390 * ns.AU ,  e : -0.00004107, i: -0.00078890, l : 58517.81538729, lp : 0.00268329, o : -0.27769418}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname:'earth',\r\n\t\ttitle : 'The Earth',\r\n\t\tmass : 5.9736e24,\r\n\t\tradius : 3443.9307 * ns.NM_TO_KM,\r\n\t\tsideralDay : ns.SIDERAL_DAY,\r\n\t\ttilt : 23+(26/60)+(21/3600) ,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 1.00000261 * ns.AU, e : 0.01671123, i : -0.00001531, l : 100.46457166, lp : 102.93768193, o : 0.0},\r\n\t\t\tcy : {a : 0.00000562 * ns.AU, e : -0.00004392, i : -0.01294668, l : 35999.37244981, lp : 0.32327364, o : 0.0}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname:'mars',\r\n\t\ttitle : 'Mars',\r\n\t\tmass : 6.4185e23,\r\n\t\tradius : 3376,\r\n\t\tsideralDay : 1.025957 * ns.DAY,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 1.52371034 * ns.AU ,  e : 0.09339410, i: 1.84969142, l : -4.55343205, lp : -23.94362959, o : 49.55953891},\r\n\t\t\tcy : {a : 0.00001847 * ns.AU ,  e : 0.00007882, i: -0.00813131, l : 19140.30268499, lp : 0.44441088, o : -0.29257343}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t \tname:'jupiter',\r\n\t\ttitle : 'Jupiter',\r\n\t\tmass : 1.8986e27,\r\n\t\tradius : 71492,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 5.20288700 * ns.AU ,  e : 0.04838624, i: 1.30439695, l : 34.39644051, lp : 14.72847983, o : 100.47390909},\r\n\t\t\tcy : {a : -0.00011607 * ns.AU ,  e : -0.00013253, i: -0.00183714, l : 3034.74612775, lp : 0.21252668, o : 0.20469106}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname:'saturn',\r\n\t\ttitle : 'Saturn',\r\n\t\tmass : 5.6846e26,\r\n\t\tradius : 58232,\r\n\t\ttilt : 26.7,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 9.53667594 * ns.AU ,  e : 0.05386179, i: 2.48599187, l : 49.95424423, lp : 92.59887831, o : 113.66242448},\r\n\t\t\tcy : {a : -0.00125060 * ns.AU ,  e : -0.00050991, i: 0.00193609, l : 1222.49362201, lp : -0.41897216, o : -0.28867794}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname: 'uranus',\r\n\t\ttitle : 'Uranus',\r\n\t\tmass : 8.6810e25,\r\n\t\tradius : 25559,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 19.18916464 * ns.AU ,  e : 0.04725744, i: 0.77263783, l : 313.23810451, lp : 170.95427630, o : 74.01692503},\r\n\t\t\tcy : {a : -0.00196176 * ns.AU ,  e : -0.00004397, i: -0.00242939, l : 428.48202785, lp : 0.40805281, o : 0.04240589}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname:'neptune',\r\n\t\ttitle : 'Neptune',\r\n\t\tmass : 1.0243e26,\r\n\t\tradius : 24764,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 30.06992276  * ns.AU,  e : 0.00859048, i: 1.77004347, l : -55.12002969, lp : 44.96476227, o : 131.78422574},\r\n\t\t\tcy : {a : 0.00026291  * ns.AU,  e : 0.00005105, i: 0.00035372, l : 218.45945325, lp : -0.32241464, o : -0.00508664}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname: 'pluto',\r\n\t\ttitle : 'Pluto',\r\n\t\tmass : 1.305e22+1.52e21,\r\n\t\tradius : 1153,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 39.48211675 * ns.AU ,  e : 0.24882730, i: 17.14001206, l : 238.92903833, lp : 224.06891629, o : 110.30393684},\r\n\t\t\tcy : {a : -0.00031596 * ns.AU ,  e : 0.00005170, i: 0.00004818, l : 145.20780515, lp : -0.04062942, o : -0.01183482}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname: 'halley',\r\n\t\ttitle : 'Halley\\'s Comet',\r\n\t\tmass : 2.2e14,\r\n\t\tradius : 50,\r\n\t\torbit : {\r\n\t\t\tbase : {a : 17.83414429 * ns.AU ,  e : 0.967142908, i: 162.262691, M : 360 * (438393600 / (75.1 * ns.YEAR * ns.DAY)), w : 111.332485, o : 58.420081},\r\n\t\t\tday : {a : 0 ,  e : 0, i: 0, M : (360 / (75.1 * 365.25) ), w : 0, o : 0}\r\n\t\t}\r\n\t},\r\n\t{\r\n\t\tname: 'moon',\r\n\t\ttitle : 'The Moon',\r\n\t\tmass : 7.3477e22,\r\n\t\tradius : 1738.1,\r\n\t\tsideralDay : (27.3215782 * ns.DAY) ,\r\n\t\ttilt : 1.5424,\r\n\t\tfov : 1,\r\n\t\trelativeTo : 'earth',\r\n\t\torbitCalculator : MoonRealOrbit,\r\n\t\torbit: {\r\n\t\t\tbase : {\r\n\t\t\t\ta : 384400,\r\n\t\t\t\te : 0.0554,\r\n\t\t\t\tw : 318.15,\r\n\t\t\t\tM : 135.27,\r\n\t\t\t\ti : 5.16,\r\n\t\t\t\to : 125.08\r\n\t\t\t},\r\n\t\t\tday : {\r\n\t\t\t\ta : 0,\r\n\t\t\t\te : 0,\r\n\t\t\t\ti : 0,\r\n\t\t\t\tM : 13.176358,//360 / 27.321582,\r\n\t\t\t\tw : (360 / 5.997) / 365.25,\r\n\t\t\t\to : (360 / 18.600) / 365.25\r\n\t\t\t}\t\r\n\t\t}\r\n\t}\r\n];\r\n","'use strict';\r\nmodule.exports = {\r\n\tsinh : function(a) {\r\n\t\treturn (Math.exp(a) - Math.exp(-a)) / 2;\r\n\t},\r\n\r\n\tcosh : function(a) {\r\n\t\treturn (Math.pow(Math.E, a) + Math.pow(Math.E, -a)) / 2;\r\n\t},\r\n\r\n\tsign : function(a) {\r\n\t\treturn (a >= 0.0) ? 1 : -1;\r\n\t}\r\n};","'use strict';\r\n\r\nvar ns = require('ns');\r\n\r\nvar DEG_TO_RAD = ns.DEG_TO_RAD;\r\nvar RAD_TO_DEG = ns.RAD_TO_DEG;\r\n\r\nmodule.exports = function(t){\r\n\r\n\tvar t2 = t * t;\r\n\tvar t3 = t * t2;\r\n\tvar t4 = t * t3;\r\n\tvar t5 = t * t4;\r\n\r\n\tvar t2e4 = t2 * 1e-4;\r\n\tvar t3e6 = t3 * 1e-6;\r\n\tvar t4e8 = t4 * 1e-8;\r\n\r\n\t//% semimajor axis\r\n\r\n\tvar sa = 3400.4 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6 - 1.769 * t4e8)) \r\n\t- 635.6 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8)) \r\n\t- 235.6 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t+ 218.1 * Math.cos(DEG_TO_RAD * (238.1713 +  854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6  - 1.769 * t4e8)) \r\n\t+ 181.0 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t- 39.9 * Math.cos(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4 \r\n\t- 10.724 * t3e6 + 5.028 * t4e8)) \r\n\t- 38.4 * Math.cos(DEG_TO_RAD * (233.2295 + 926533.2733 * t - 34.136 * t2e4 \r\n\t+ 3.705 * t3e6 - 1.769 * t4e8)) \r\n\t+ 33.8 * Math.cos(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4 \r\n\t- 7.020 * t3e6 + 3.259 * t4e8)) \r\n\t+ 28.8 * Math.cos(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4 \r\n\t+ 7.328 * t3e6 - 3.538 * t4e8)) \r\n\t+ 12.6 * Math.cos(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4 \r\n\t+ 17.971 * t3e6 - 8.566 * t4e8)) \r\n\t+ 11.4 * Math.cos(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4 \r\n\t- 0.567 * t3e6 + 0.232 * t4e8)) \r\n\t- 11.1 * Math.cos(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4 \r\n\t- 14.307 * t3e6 + 6.797 * t4e8)) \r\n\t- 10.2 * Math.cos(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4 \r\n\t+ 28.695 * t3e6 - 13.594 * t4e8)) \r\n\t+ 9.7 * Math.cos(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4 \r\n\t+ 32.359 * t3e6 - 15.363 * t4e8)) \r\n\t+ 9.6 * Math.cos(DEG_TO_RAD * (240.6422 + 818536.1225 * t - 29.529 * t2e4 \r\n\t+ 3.582 * t3e6 - 1.769 * t4e8)) \r\n\t+ 8.0 * Math.cos(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4 \r\n\t+ 1.832 * t3e6 - 0.884 * t4e8)) \r\n\t- 6.2 * Math.cos(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4 \r\n\t+ 14.388 * t3e6 - 6.797 * t4e8)) \r\n\t+ 6.0 * Math.cos(DEG_TO_RAD * (173.5506 + 1335801.3346 * t - 48.901 * t2e4 \r\n\t+ 5.496 * t3e6 - 2.653 * t4e8)) \r\n\t+ 3.7 * Math.cos(DEG_TO_RAD * (113.8717 + 1745069.3958 * t - 63.665 * t2e4 \r\n\t+ 7.287 * t3e6 - 3.538 * t4e8)) \r\n\t+ 3.6 * Math.cos(DEG_TO_RAD * (338.9083 + 1267870.5281 * t - 153.636 * t2e4 \r\n\t- 7.061 * t3e6 + 3.259 * t4e8)) \r\n\t+ 3.2 * Math.cos(DEG_TO_RAD * (246.3642 + 2258267.3137 * t + 24.769 * t2e4 \r\n\t+ 21.675 * t3e6 - 10.335 * t4e8)) \r\n\t- 3.0 * Math.cos(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4 \r\n\t+ 18.052 * t3e6 - 8.566 * t4e8)) \r\n\t+ 2.3 * Math.cos(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4 \r\n\t- 10.643 * t3e6 + 5.028 * t4e8)) \r\n\t- 2.2 * Math.cos(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4 \r\n\t+ 0.041 * t3e6 + 0.000 * t4e8)) \r\n\t- 2.0 * Math.cos(DEG_TO_RAD * (38.5872 + 858602.4669 * t - 138.871 * t2e4 \r\n\t- 8.852 * t3e6 + 4.144 * t4e8)) \r\n\t- 1.8 * Math.cos(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4 \r\n\t- 10.765 * t3e6 + 5.028 * t4e8)) \r\n\t- 1.7 * Math.cos(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4 \r\n\t- 21.367 * t3e6 + 10.057 * t4e8)) \r\n\t+ 1.6 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4 \r\n\t+ 18.579 * t3e6 - 8.798 * t4e8)) \r\n\t- 1.4 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 - 7.029 * t4e8)) \r\n\t+ 1.3 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8));\r\n\r\n\tvar sapp = - 0.55 * Math.cos(DEG_TO_RAD * (238.2 + 854535.2 * t)) \r\n\t\t+ 0.10 * Math.cos(DEG_TO_RAD * (103.2 + 377336.3 * t)) \r\n\t\t+ 0.10 * Math.cos(DEG_TO_RAD * (233.2 + 926533.3 * t));\r\n\r\n\tvar sma = 383397.6 + sa + sapp * t;\r\n\r\n\t//% orbital eccentricity\r\n\r\n\tvar se = 0.014217 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.008551 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.001383 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t+ 0.001353 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t- 0.001146 * Math.cos(DEG_TO_RAD * (66.5106 + 349471.8432 * t - 335.112 * t2e4 \r\n\t- 35.715 * t3e6 + 16.854 * t4e8)) \r\n\t- 0.000915 * Math.cos(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4 \r\n\t- 21.367 * t3e6 + 10.057 * t4e8)) \r\n\t+ 0.000869 * Math.cos(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4 \r\n\t- 10.724 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.000628 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6  - 1.769 * t4e8)) \r\n\t- 0.000393 * Math.cos(DEG_TO_RAD * (291.5472 - 127727.0245 * t - 425.082 * t2e4 \r\n\t- 50.062 * t3e6 + 23.651 * t4e8)) \r\n\t+ 0.000284 * Math.cos(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4 \r\n\t- 25.072 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.000278 * Math.cos(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4 \r\n\t- 12.516 * t3e6 + 5.913 * t4e8)) \r\n\t- 0.000240 * Math.cos(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4 \r\n\t+ 28.695 * t3e6 - 13.594 * t4e8)) \r\n\t+ 0.000230 * Math.cos(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4 \r\n\t+ 7.328 * t3e6  - 3.538 * t4e8)) \r\n\t+ 0.000229 * Math.cos(DEG_TO_RAD * (167.2476 + 762807.1986 * t - 457.683 * t2e4 \r\n\t- 46.398 * t3e6 + 21.882 * t4e8)) \r\n\t- 0.000202 * Math.cos(DEG_TO_RAD * ( 83.3826 - 12006.2998 * t + 247.999 * t2e4 \r\n\t+ 29.262 * t3e6 - 13.826 * t4e8)) \r\n\t+ 0.000190 * Math.cos(DEG_TO_RAD * (190.8102 - 541062.3799 * t - 302.511 * t2e4 \r\n\t- 39.379 * t3e6 + 18.623 * t4e8)) \r\n\t+ 0.000177 * Math.cos(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4 \r\n\t+ 0.041 * t3e6 + 0.000 * t4e8)) \r\n\t+ 0.000153 * Math.cos(DEG_TO_RAD * (32.2842 + 285608.3309 * t - 547.653 * t2e4 \r\n\t- 60.746 * t3e6 + 28.679 * t4e8)) \r\n\t- 0.000137 * Math.cos(DEG_TO_RAD * (44.8902 + 1431596.6029 * t + 269.911 * t2e4 \r\n\t+ 43.043 * t3e6 - 20.392 * t4e8)) \r\n\t+ 0.000122 * Math.cos(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4 \r\n\t+ 32.359 * t3e6 - 15.363 * t4e8)) \r\n\t+ 0.000116 * Math.cos(DEG_TO_RAD * (302.2110 + 1240006.0662 * t - 367.713 * t2e4 \r\n\t- 32.051 * t3e6 + 15.085 * t4e8)) \r\n\t- 0.000111 * Math.cos(DEG_TO_RAD * (203.9449 + 790671.6605 * t - 243.606 * t2e4 \r\n\t- 21.408 * t3e6 + 10.057 * t4e8)) \r\n\t- 0.000108 * Math.cos(DEG_TO_RAD * (68.9815 + 313472.7929 * t - 333.576 * t2e4 \r\n\t- 35.756 * t3e6 + 16.854 * t4e8)) \r\n\t+ 0.000096 * Math.cos(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4 \r\n\t- 7.020 * t3e6 + 3.259 * t4e8)) \r\n\t- 0.000090 * Math.cos(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4 \r\n\t- 10.643 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.000090 * Math.cos(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4 \r\n\t+ 17.971 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.000056 * Math.cos(DEG_TO_RAD * (55.8468 - 1018261.2475 * t - 392.482 * t2e4 \r\n\t- 53.726 * t3e6 + 25.420 * t4e8)) \r\n\t- 0.000056 * Math.cos(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.000052 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 - 7.029 * t4e8)) \r\n\t- 0.000050 * Math.cos(DEG_TO_RAD * (133.0212 + 698943.6863 * t - 670.224 * t2e4 \r\n\t- 71.429 * t3e6 + 33.708 * t4e8)) \r\n\t- 0.000049 * Math.cos(DEG_TO_RAD * (267.9846 + 1176142.5540 * t - 580.254 * t2e4 \r\n\t- 57.082 * t3e6 + 26.911 * t4e8)) \r\n\t- 0.000049 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4 \r\n\t+ 18.579 * t3e6 - 8.798 * t4e8)) \r\n\t- 0.000045 * Math.cos(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4 \r\n\t+ 4.231 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.000044 * Math.cos(DEG_TO_RAD * (257.3208 - 191590.5367 * t - 637.623 * t2e4 \r\n\t- 75.093 * t3e6 + 35.477 * t4e8)) \r\n\t+ 0.000042 * Math.cos(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4 \r\n\t- 10.765 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.000042 * Math.cos(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4 \r\n\t- 12.475 * t3e6 + 5.913 * t4e8)) \r\n\t+ 0.000040 * Math.cos(DEG_TO_RAD * (246.3642 + 2258267.3137 * t + 24.769 * t2e4 \r\n\t+ 21.675 * t3e6 - 10.335 * t4e8)) \r\n\t- 0.000040 * Math.cos(DEG_TO_RAD * (156.5838 - 604925.8921 * t - 515.053 * t2e4 \r\n\t- 64.410 * t3e6 + 30.448 * t4e8)) \r\n\t+ 0.000036 * Math.cos(DEG_TO_RAD * (169.7185 + 726808.1483 * t - 456.147 * t2e4 \r\n\t- 46.439 * t3e6 + 21.882 * t4e8)) \r\n\t+ 0.000029 * Math.cos(DEG_TO_RAD * (113.8717 + 1745069.3958 * t - 63.665 * t2e4 \r\n\t+ 7.287 * t3e6 - 3.538 * t4e8)) \r\n\t- 0.000029 * Math.cos(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4 \r\n\t+ 1.832 * t3e6 - 0.884 * t4e8)) \r\n\t- 0.000028 * Math.cos(DEG_TO_RAD * (294.0181 - 163726.0747 * t - 423.546 * t2e4 \r\n\t- 50.103 * t3e6 + 23.651 * t4e8)) \r\n\t+ 0.000027 * Math.cos(DEG_TO_RAD * (263.6238 + 381403.5993 * t - 228.841 * t2e4 \r\n\t- 23.199 * t3e6 + 10.941 * t4e8)) \r\n\t- 0.000026 * Math.cos(DEG_TO_RAD * (358.0578 + 221744.8187 * t - 760.194 * t2e4 \r\n\t- 85.777 * t3e6 + 40.505 * t4e8)) \r\n\t- 0.000026 * Math.cos(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4 \r\n\t+ 18.052 * t3e6 - 8.566 * t4e8));\r\n\r\n\tvar sedp = -0.0022 * Math.cos(DEG_TO_RAD * (103.2 + 377336.3 * t));\r\n\r\n\tvar ecc = 0.055544 + se + 1e-3 * t * sedp;\r\n\r\n\t//% sine of half the inclination\r\n\r\nvar sg = 0.0011776 * Math.cos(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4 \r\n\t+ 4.231 * t3e6 - 2.001 * t4e8)) \r\n\t- 0.0000971 * Math.cos(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.0000908 * Math.cos(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4 \r\n\t- 0.567 * t3e6 + 0.232 * t4e8)) \r\n\t+ 0.0000623 * Math.cos(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4 \r\n\t+ 29.262 * t3e6 - 13.826 * t4e8)) \r\n\t+ 0.0000483 * Math.cos(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4 \r\n\t+ 4.190 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.0000348 * Math.cos(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.0000316 * Math.cos(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 - 7.029 * t4e8)) \r\n\t- 0.0000253 * Math.cos(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4 \r\n\t+ 4.272 * t3e6 - 2.001 * t4e8)) \r\n\t- 0.0000141 * Math.cos(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4 \r\n\t- 10.116 * t3e6 + 4.797 * t4e8)) \r\n\t+ 0.0000127 * Math.cos(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8)) \r\n\t+ 0.0000117 * Math.cos(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4 \r\n\t+ 18.579 * t3e6 - 8.798 * t4e8)) \r\n\t- 0.0000078 * Math.cos(DEG_TO_RAD * (98.3124 - 151739.6240 * t + 70.916 * t2e4 \r\n\t+ 8.462 * t3e6 - 4.001 * t4e8)) \r\n\t- 0.0000063 * Math.cos(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.0000063 * Math.cos(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t+ 0.0000036 * Math.cos(DEG_TO_RAD * (321.5076 + 1443602.9027 * t + 21.912 * t2e4 \r\n\t+ 13.780 * t3e6 - 6.566 * t4e8)) \r\n\t- 0.0000035 * Math.cos(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.0000024 * Math.cos(DEG_TO_RAD * (149.8932 + 337465.5434 * t - 87.113 * t2e4 \r\n\t- 6.453 * t3e6 + 3.028 * t4e8)) \r\n\t+ 0.0000024 * Math.cos(DEG_TO_RAD * (170.9849 - 930404.9848 * t + 66.523 * t2e4 \r\n\t+ 0.608 * t3e6 - 0.232 * t4e8));\r\n\r\n\tvar sgp = - 0.0203 * Math.cos(DEG_TO_RAD * (125.0 - 1934.1 * t)) \r\n\t\t+ 0.0034 * Math.cos(DEG_TO_RAD * (220.2 - 1935.5 * t));\r\n\r\n\tvar gamma = 0.0449858 + sg + 1e-3 * sgp;\r\n\r\n\t//% longitude of perigee\r\n\r\n\tvar sp = - 15.448 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8))\r\n\t- 9.642 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8)) \r\n\t- 2.721 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t+ 2.607 * Math.sin(DEG_TO_RAD * (66.5106 + 349471.8432 * t - 335.112 * t2e4 \r\n\t- 35.715 * t3e6 + 16.854 * t4e8)) \r\n\t+ 2.085 * Math.sin(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4 \r\n\t- 21.367 * t3e6 + 10.057 * t4e8)) \r\n\t+ 1.477 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.968 * Math.sin(DEG_TO_RAD * (291.5472 - 127727.0245 * t - 425.082 * t2e4 \r\n\t- 50.062 * t3e6 + 23.651 * t4e8)) \r\n\t- 0.949 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4 \r\n\t- 10.724 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.703 * Math.sin(DEG_TO_RAD * (167.2476 + 762807.1986 * t - 457.683 * t2e4 \r\n\t- 46.398 * t3e6 + 21.882 * t4e8)) \r\n\t- 0.660 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6 - 1.769 * t4e8)) \r\n\t- 0.577 * Math.sin(DEG_TO_RAD * (190.8102 - 541062.3799 * t - 302.511 * t2e4 \r\n\t- 39.379 * t3e6 + 18.623 * t4e8)) \r\n\t- 0.524 * Math.sin(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4 \r\n\t+ 28.695 * t3e6 - 13.594 * t4e8)) \r\n\t- 0.482 * Math.sin(DEG_TO_RAD * (32.2842 + 285608.3309 * t - 547.653 * t2e4 \r\n\t- 60.746 * t3e6 + 28.679 * t4e8)) \r\n\t+ 0.452 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4 \r\n\t+ 0.041 * t3e6 + 0.000 * t4e8)) \r\n\t- 0.381 * Math.sin(DEG_TO_RAD * (302.2110 + 1240006.0662 * t - 367.713 * t2e4 \r\n\t- 32.051 * t3e6 + 15.085 * t4e8)) \r\n\t- 0.342 * Math.sin(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4 \r\n\t- 25.072 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.312 * Math.sin(DEG_TO_RAD * (44.8902 + 1431596.6029 * t + 269.911 * t2e4 \r\n\t+ 43.043 * t3e6 - 20.392 * t4e8)) \r\n\t+ 0.282 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4 \r\n\t- 12.516 * t3e6 + 5.913 * t4e8)) \r\n\t+ 0.255 * Math.sin(DEG_TO_RAD * (203.9449 + 790671.6605 * t - 243.606 * t2e4 \r\n\t- 21.408 * t3e6 + 10.057 * t4e8)) \r\n\t+ 0.252 * Math.sin(DEG_TO_RAD * (68.9815 + 313472.7929 * t - 333.576 * t2e4 \r\n\t- 35.756 * t3e6 + 16.854 * t4e8)) \r\n\t- 0.211 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4 \r\n\t+ 29.262 * t3e6 - 13.826 * t4e8)) \r\n\t+ 0.193 * Math.sin(DEG_TO_RAD * (267.9846 + 1176142.5540 * t - 580.254 * t2e4 \r\n\t- 57.082 * t3e6 + 26.911 * t4e8)) \r\n\t+ 0.191 * Math.sin(DEG_TO_RAD * (133.0212 + 698943.6863 * t - 670.224 * t2e4 \r\n\t- 71.429 * t3e6 + 33.708 * t4e8)) \r\n\t- 0.184 * Math.sin(DEG_TO_RAD * (55.8468 - 1018261.2475 * t - 392.482 * t2e4 \r\n\t- 53.726 * t3e6 + 25.420 * t4e8)) \r\n\t+ 0.182 * Math.sin(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4 \r\n\t+ 32.359 * t3e6 - 15.363 * t4e8)) \r\n\t- 0.158 * Math.sin(DEG_TO_RAD * (257.3208 - 191590.5367 * t - 637.623 * t2e4 \r\n\t- 75.093 * t3e6 + 35.477 * t4e8)) \r\n\t+ 0.148 * Math.sin(DEG_TO_RAD * (156.5838 - 604925.8921 * t - 515.053 * t2e4 \r\n\t- 64.410 * t3e6 + 30.448 * t4e8)) \r\n\t- 0.111 * Math.sin(DEG_TO_RAD * (169.7185 + 726808.1483 * t - 456.147 * t2e4 \r\n\t- 46.439 * t3e6 + 21.882 * t4e8)) \r\n\t+ 0.101 * Math.sin(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4 \r\n\t+ 17.971 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.100 * Math.sin(DEG_TO_RAD * (358.0578 + 221744.8187 * t - 760.194 * t2e4 \r\n\t- 85.777 * t3e6 + 40.505 * t4e8)) \r\n\t+ 0.087 * Math.sin(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4 \r\n\t- 10.643 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.080 * Math.sin(DEG_TO_RAD * (42.9480 + 1653341.4216 * t - 490.283 * t2e4 \r\n\t- 42.734 * t3e6 + 20.113 * t4e8)) \r\n\t+ 0.080 * Math.sin(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4 \r\n\t- 14.307 * t3e6 + 6.797 * t4e8)) \r\n\t+ 0.077 * Math.sin(DEG_TO_RAD * (294.0181 - 163726.0747 * t - 423.546 * t2e4 \r\n\t- 50.103 * t3e6 + 23.651 * t4e8)) \r\n\t- 0.073 * Math.sin(DEG_TO_RAD * (280.8834 - 1495460.1151 * t - 482.452 * t2e4 \r\n\t- 68.074 * t3e6 + 32.217 * t4e8)) \r\n\t- 0.071 * Math.sin(DEG_TO_RAD * (304.6819 + 1204007.0159 * t - 366.177 * t2e4 \r\n\t- 32.092 * t3e6 + 15.085 * t4e8)) \r\n\t- 0.069 * Math.sin(DEG_TO_RAD * (233.7582 + 1112279.0417 * t - 792.795 * t2e4 \r\n\t- 82.113 * t3e6 + 38.736 * t4e8)) \r\n\t- 0.067 * Math.sin(DEG_TO_RAD * (34.7551 + 249609.2807 * t - 546.117 * t2e4 \r\n\t- 60.787 * t3e6 + 28.679 * t4e8)) \r\n\t- 0.067 * Math.sin(DEG_TO_RAD * (263.6238 + 381403.5993 * t - 228.841 * t2e4 \r\n\t- 23.199 * t3e6 + 10.941 * t4e8)) \r\n\t+ 0.055 * Math.sin(DEG_TO_RAD * (21.6203 - 1082124.7597 * t - 605.023 * t2e4 \r\n\t- 78.757 * t3e6 + 37.246 * t4e8)) \r\n\t+ 0.055 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 -7.029 * t4e8)) \r\n\t- 0.054 * Math.sin(DEG_TO_RAD * (8.7216 + 1589477.9094 * t - 702.824 * t2e4 \r\n\t- 67.766 * t3e6 + 31.939 * t4e8)) \r\n\t- 0.052 * Math.sin(DEG_TO_RAD * (179.8536 + 1908795.4705 * t + 359.881 * t2e4 \r\n\t+ 57.390 * t3e6 - 27.189 * t4e8)) \r\n\t- 0.050 * Math.sin(DEG_TO_RAD * (98.7948 + 635080.1741 * t - 882.765 * t2e4 \r\n\t- 96.461 * t3e6 + 45.533 * t4e8)) \r\n\t- 0.049 * Math.sin(DEG_TO_RAD * (128.6604 - 95795.2683 * t - 318.812 * t2e4 \r\n\t- 37.547 * t3e6 + 17.738 * t4e8)) \r\n\t- 0.047 * Math.sin(DEG_TO_RAD * (17.3544 + 425341.6552 * t - 370.570 * t2e4 \r\n\t- 39.946 * t3e6 + 18.854 * t4e8)) \r\n\t- 0.044 * Math.sin(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4 \r\n\t- 12.475 * t3e6 + 5.913 * t4e8)) \r\n\t- 0.043 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.042 * Math.sin(DEG_TO_RAD * (270.4555 + 1140143.5037 * t - 578.718 * t2e4 \r\n\t- 57.123 * t3e6 + 26.911 * t4e8)) \r\n\t- 0.042 * Math.sin(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4 \r\n\t+ 14.388 * t3e6 - 6.797 * t4e8)) \r\n\t- 0.041 * Math.sin(DEG_TO_RAD * (122.3573 - 668789.4043 * t - 727.594 * t2e4 \r\n\t- 89.441 * t3e6 + 42.274 * t4e8)) \r\n\t- 0.040 * Math.sin(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4 \r\n\t- 10.765 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.038 * Math.sin(DEG_TO_RAD * (135.4921 + 662944.6361 * t - 668.688 * t2e4 \r\n\t- 71.470 * t3e6 + 33.708 * t4e8)) \r\n\t- 0.037 * Math.sin(DEG_TO_RAD * (242.3910 - 51857.2124 * t - 460.540 * t2e4 \r\n\t- 54.293 * t3e6 + 25.652 * t4e8)) \r\n\t+ 0.036 * Math.sin(DEG_TO_RAD * (336.4374 +  1303869.5784 * t - 155.171 * t2e4 \r\n\t- 7.020 * t3e6 + 3.259 * t4e8)) \r\n\t+ 0.035 * Math.sin(DEG_TO_RAD * (223.0943 - 255454.0489 * t - 850.164 * t2e4 \r\n\t- 100.124 * t3e6 + 47.302 * t4e8)) \r\n\t- 0.034 * Math.sin(DEG_TO_RAD * (193.2811 - 577061.4302 * t - 300.976 * t2e4 \r\n\t- 39.419 * t3e6 + 18.623 * t4e8)) \r\n\t+ 0.031 * Math.sin(DEG_TO_RAD * (87.6023 - 918398.6850 * t - 181.476 * t2e4 \r\n\t- 28.654 * t3e6 + 13.594 * t4e8));\r\n\r\n\tvar spp = 2.4 * Math.sin(DEG_TO_RAD * (103.2 + 377336.3 * t));\r\n\r\n\tvar lp = 83.353 + 4069.0137 * t - 103.238 * t2e4 \r\n\t- 12.492 * t3e6 + 5.263 * t4e8 + sp + 1e-3 * t * spp;\r\n\r\n\t//% longitude of the ascending node\r\n\r\n\tvar sr = - 1.4979 * Math.sin(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4 \r\n\t+ 4.231 * t3e6 - 2.001 * t4e8)) \r\n\t- 0.1500 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4 \r\n\t+ 0.041 * t3e6 + 0.000 * t4e8)) \r\n\t- 0.1226 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.1176 * Math.sin(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4 \r\n\t- 0.567 * t3e6 + 0.232 * t4e8)) \r\n\t- 0.0801 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4 \r\n\t+ 29.262 * t3e6 - 13.826 * t4e8)) \r\n\t- 0.0616 * Math.sin(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4 \r\n\t+ 4.190 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.0490 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.0409 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 - 7.029 * t4e8)) \r\n\t+ 0.0327 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t+ 0.0324 * Math.sin(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4 \r\n\t+ 4.272 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.0196 * Math.sin(DEG_TO_RAD * (98.3124 - 151739.6240 * t + 70.916 * t2e4 \r\n\t+ 8.462 * t3e6 - 4.001 * t4e8)) \r\n\t+ 0.0180 * Math.sin(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4 \r\n\t- 10.116 * t3e6 + 4.797 * t4e8)) \r\n\t+ 0.0150 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.0150 * Math.sin(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4 \r\n\t+ 18.579 * t3e6 - 8.798 * t4e8)) \r\n\t- 0.0078 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6 - 1.769 * t4e8)) \r\n\t- 0.0045 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.0044 * Math.sin(DEG_TO_RAD * (321.5076 + 1443602.9027 * t + 21.912 * t2e4 \r\n\t+ 13.780 * t3e6 - 6.566 * t4e8)) \r\n\t- 0.0042 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4 \r\n\t- 12.516 * t3e6 + 5.913 * t4e8)) \r\n\t- 0.0031 * Math.sin(DEG_TO_RAD * (170.9849 - 930404.9848 * t + 66.523 * t2e4 \r\n\t+ 0.608 * t3e6 - 0.232 * t4e8)) \r\n\t+ 0.0031 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4 \r\n\t- 10.724 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.0029 * Math.sin(DEG_TO_RAD * (222.6120 - 1042273.8471 * t + 103.516 * t2e4 \r\n\t+ 4.798 * t3e6 - 2.232 * t4e8)) \r\n\t+ 0.0028 * Math.sin(DEG_TO_RAD * (184.0733 + 1002403.0853 * t - 69.594 * t2e4 \r\n\t- 0.526 * t3e6 + 0.232 * t4e8));\r\n\r\n\tvar srp = 25.9 * Math.sin(DEG_TO_RAD * (125.0 - 1934.1 * t)) \r\n\t\t- 4.3 * Math.sin(DEG_TO_RAD * (220.2 - 1935.5 * t));\r\n\r\n\tvar srpp = 0.38 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t));\r\n\r\n\tvar raan = 125.0446 - 1934.13618 * t + 20.762 * t2e4 \r\n\t\t+ 2.139 * t3e6 - 1.650 * t4e8 + sr \r\n\t\t+ 1e-3 * (srp + srpp * t);\r\n\r\n\t//% mean longitude\r\n\r\n\tvar sl = - 0.92581 * Math.sin(DEG_TO_RAD * (235.7004 + 890534.2230 * t - 32.601 * t2e4 \r\n\t+ 3.664 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.33262 * Math.sin(DEG_TO_RAD * (100.7370 + 413335.3554 * t - 122.571 * t2e4 \r\n\t- 10.684 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.18402 * Math.sin(DEG_TO_RAD * (357.5291 + 35999.0503 * t - 1.536 * t2e4 \r\n\t+ 0.041 * t3e6 + 0.000 * t4e8)) \r\n\t+ 0.11007 * Math.sin(DEG_TO_RAD * (134.9634 + 477198.8676 * t + 89.970 * t2e4 \r\n\t+ 14.348 * t3e6 - 6.797 * t4e8)) \r\n\t- 0.06055 * Math.sin(DEG_TO_RAD * (238.1713 + 854535.1727 * t - 31.065 * t2e4 \r\n\t+ 3.623 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.04741 * Math.sin(DEG_TO_RAD * (325.7736 - 63863.5122 * t - 212.541 * t2e4 \r\n\t- 25.031 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.03086 * Math.sin(DEG_TO_RAD * (10.6638 + 1367733.0907 * t + 57.370 * t2e4 \r\n\t+ 18.011 * t3e6 - 8.566 * t4e8)) \r\n\t+ 0.02184 * Math.sin(DEG_TO_RAD * (103.2079 + 377336.3051 * t - 121.035 * t2e4 \r\n\t- 10.724 * t3e6 + 5.028 * t4e8)) \r\n\t+ 0.01645 * Math.sin(DEG_TO_RAD * (49.1562 - 75869.8120 * t + 35.458 * t2e4 \r\n\t+ 4.231 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.01022 * Math.sin(DEG_TO_RAD * (233.2295 + 926533.2733 * t - 34.136 * t2e4 \r\n\t+ 3.705 * t3e6 - 1.769 * t4e8)) \r\n\t- 0.00756 * Math.sin(DEG_TO_RAD * (336.4374 + 1303869.5784 * t - 155.171 * t2e4 \r\n\t- 7.020 * t3e6 + 3.259 * t4e8)) \r\n\t- 0.00530 * Math.sin(DEG_TO_RAD * (222.5657 - 441199.8173 * t - 91.506 * t2e4 \r\n\t- 14.307 * t3e6 + 6.797 * t4e8)) \r\n\t- 0.00496 * Math.sin(DEG_TO_RAD * (162.8868 - 31931.7561 * t - 106.271 * t2e4 \r\n\t- 12.516 * t3e6 + 5.913 * t4e8)) \r\n\t- 0.00472 * Math.sin(DEG_TO_RAD * (297.8502 + 445267.1115 * t - 16.300 * t2e4 \r\n\t+ 1.832 * t3e6 - 0.884 * t4e8)) \r\n\t- 0.00271 * Math.sin(DEG_TO_RAD * (240.6422 + 818536.1225 * t - 29.529 * t2e4 \r\n\t+ 3.582 * t3e6 - 1.769 * t4e8)) \r\n\t+ 0.00264 * Math.sin(DEG_TO_RAD * (132.4925 + 513197.9179 * t + 88.434 * t2e4 \r\n\t+ 14.388 * t3e6 - 6.797 * t4e8)) \r\n\t- 0.00254 * Math.sin(DEG_TO_RAD * (186.5442 + 966404.0351 * t - 68.058 * t2e4 \r\n\t- 0.567 * t3e6 + 0.232 * t4e8)) \r\n\t+ 0.00234 * Math.sin(DEG_TO_RAD * (269.9268 + 954397.7353 * t + 179.941 * t2e4 \r\n\t+ 28.695 * t3e6 - 13.594 * t4e8)) \r\n\t- 0.00220 * Math.sin(DEG_TO_RAD * (13.1347 + 1331734.0404 * t + 58.906 * t2e4 \r\n\t+ 17.971 * t3e6 - 8.566 * t4e8)) \r\n\t- 0.00202 * Math.sin(DEG_TO_RAD * (355.0582 + 71998.1006 * t - 3.072 * t2e4 \r\n\t+ 0.082 * t3e6 + 0.000 * t4e8)) \r\n\t+ 0.00167 * Math.sin(DEG_TO_RAD * (328.2445 - 99862.5625 * t - 211.005 * t2e4 \r\n\t- 25.072 * t3e6 + 11.826 * t4e8)) \r\n\t- 0.00143 * Math.sin(DEG_TO_RAD * (173.5506 + 1335801.3346 * t - 48.901 * t2e4 \r\n\t+ 5.496 * t3e6 - 2.653 * t4e8)) \r\n\t- 0.00121 * Math.sin(DEG_TO_RAD * (98.2661 + 449334.4057 * t - 124.107 * t2e4 \r\n\t- 10.643 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.00116 * Math.sin(DEG_TO_RAD * (145.6272 + 1844931.9583 * t + 147.340 * t2e4 \r\n\t+ 32.359 * t3e6 - 15.363 * t4e8)) \r\n\t+ 0.00102 * Math.sin(DEG_TO_RAD * (105.6788 + 341337.2548 * t - 119.499 * t2e4 \r\n\t- 10.765 * t3e6 + 5.028 * t4e8)) \r\n\t- 0.00090 * Math.sin(DEG_TO_RAD * (184.1196 + 401329.0556 * t + 125.428 * t2e4 \r\n\t+ 18.579 * t3e6 - 8.798 * t4e8)) \r\n\t- 0.00086 * Math.sin(DEG_TO_RAD * (338.9083 + 1267870.5281 * t - 153.636 * t2e4 \r\n\t- 7.061 * t3e6 + 3.259 * t4e8)) \r\n\t- 0.00078 * Math.sin(DEG_TO_RAD * (111.4008 + 1781068.4461 * t - 65.201 * t2e4 \r\n\t+ 7.328 * t3e6 - 3.538 * t4e8)) \r\n\t+ 0.00069 * Math.sin(DEG_TO_RAD * (323.3027 - 27864.4619 * t - 214.077 * t2e4 \r\n\t- 24.990 * t3e6 + 11.826 * t4e8)) \r\n\t+ 0.00066 * Math.sin(DEG_TO_RAD * (51.6271 - 111868.8623 * t + 36.994 * t2e4 \r\n\t+ 4.190 * t3e6 - 2.001 * t4e8)) \r\n\t+ 0.00065 * Math.sin(DEG_TO_RAD * (38.5872 + 858602.4669 * t - 138.871 * t2e4 \r\n\t- 8.852 * t3e6 + 4.144 * t4e8)) \r\n\t- 0.00060 * Math.sin(DEG_TO_RAD * (83.3826 - 12006.2998 * t + 247.999 * t2e4 \r\n\t+ 29.262 * t3e6 - 13.826 * t4e8)) \r\n\t+ 0.00054 * Math.sin(DEG_TO_RAD * (201.4740 + 826670.7108 * t - 245.142 * t2e4 \r\n\t- 21.367 * t3e6 + 10.057 * t4e8)) \r\n\t- 0.00052 * Math.sin(DEG_TO_RAD * (308.4192 - 489205.1674 * t + 158.029 * t2e4 \r\n\t+ 14.915 * t3e6 - 7.029 * t4e8)) \r\n\t+ 0.00048 * Math.sin(DEG_TO_RAD * (8.1929 + 1403732.1410 * t + 55.834 * t2e4 \r\n\t+ 18.052 * t3e6 - 8.566 * t4e8)) \r\n\t- 0.00041 * Math.sin(DEG_TO_RAD * (46.6853 - 39870.7617 * t + 33.922 * t2e4 \r\n\t+ 4.272 * t3e6 - 2.001 * t4e8)) \r\n\t- 0.00033 * Math.sin(DEG_TO_RAD * (274.1928 - 553068.6797 * t - 54.513 * t2e4 \r\n\t- 10.116 * t3e6 + 4.797 * t4e8)) \r\n\t+ 0.00030 * Math.sin(DEG_TO_RAD * (160.4159 + 4067.2942 * t - 107.806 * t2e4 \r\n\t- 12.475 * t3e6 + 5.913 * t4e8));\r\n\r\n\tvar slp = 3.96 * Math.sin(DEG_TO_RAD * (119.7 + 131.8 * t)) \r\n\t\t+ 1.96 * Math.sin(DEG_TO_RAD * (125.0 - 1934.1 * t));\r\n\r\n\tvar slpp = 0.463 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t)) \r\n\t\t+ 0.152 * Math.sin(DEG_TO_RAD * (238.2 + 854535.2 * t)) \r\n\t\t- 0.071 * Math.sin(DEG_TO_RAD * (27.8 + 131.8 * t)) \r\n\t\t- 0.055 * Math.sin(DEG_TO_RAD * (103.2 + 377336.3 * t)) \r\n\t\t- 0.026 * Math.sin(DEG_TO_RAD * (233.2 + 926533.3 * t));\r\n\r\n\tvar slppp = 14 * Math.sin(DEG_TO_RAD * (357.5 + 35999.1 * t)) \r\n\t\t+ 5 * Math.sin(DEG_TO_RAD * (238.2 + 854535.2 * t));\r\n\r\n\tvar lambda = 218.31665 + 481267.88134 * t - 13.268 * t2e4 \r\n\t\t+ 1.856 * t3e6 - 1.534 * t4e8 + sl \r\n\t\t+ 1e-3 * (slp + slpp * t + slppp * t2e4);\r\n\r\n\tvar computed = {\r\n\t\ta : sma * 1000,\r\n\t\te : ecc,\r\n\t\ti : 2.0 * Math.asin(gamma) * RAD_TO_DEG,\r\n\t\tw : ( (lp - raan)) % 360,\r\n\t\to : ( raan) % 360,\r\n\t\tM : ( (lambda - lp)) %  360\r\n\t};\r\n\t\r\n\treturn computed;\r\n\r\n\r\n};\r\n","/*\r\n\tGlobal vars\r\n*/\r\n\r\n'use strict';\r\nmodule.exports = {\r\n\t//gravitational constant to measure the force with masses in kg and radii in meters N(m/kg)^2\r\n\tG : 6.6742e-11,\r\n\t//astronomical unit in km\r\n\tAU : 149597870,\r\n\tCIRCLE : 2 * Math.PI,\r\n\tKM : 1000,\r\n\tDEG_TO_RAD : Math.PI/180,\r\n\tRAD_TO_DEG : 180/Math.PI,\r\n\tNM_TO_KM : 1.852,\r\n\tLB_TO_KG : 0.453592,\r\n\tLBF_TO_NEWTON : 4.44822162,\r\n\tFT_TO_M : 0.3048,\r\n\t//duration in seconds\r\n\tDAY : 60 * 60 * 24,\r\n\t//duration in days\r\n\tYEAR : 365.25,\r\n\t//duration in days\r\n\tCENTURY : 100 * 365.25,\r\n\tSIDERAL_DAY : 3600 * 23.9344696,\r\n\tJ2000 : new Date('2000-01-01T12:00:00-00:00'),\r\n\tgetEpochTime : function(userDate) {\r\n\t\tuserDate = userDate || new Date();\r\n\t\treturn ((userDate - this.J2000) / 1000) ;\r\n\t}\r\n};\r\n","\r\n'use strict';\r\n\r\nvar ns = require('ns');\r\nvar Utils = require('./Utils');\r\nvar THREE = require('./Three.shim');\r\nvar CMath = require('./Math');\r\n\r\nvar maxIterationsForEccentricAnomaly = 10;\r\nvar maxDE = 1e-15;\r\n\r\nvar solveEccentricAnomaly = function(f, x0, maxIter) {\r\n\t\t\r\n\tvar x = 0;\r\n\tvar x2 = x0;\r\n\t\r\n\tfor (var i = 0; i < maxIter; i++) {\r\n\t\tx = x2;\r\n\t\tx2 = f(x);\r\n\t}\r\n\t\r\n\treturn x2;\r\n}\r\n\r\nvar solveKepler = function(e, M) {\r\n\treturn function(x) {\r\n\t\treturn x + (M + e * Math.sin(x) - x) / (1 - e * Math.cos(x));\r\n\t};\r\n};\r\n\r\nvar solveKeplerLaguerreConway = function(e, M) {\r\n\treturn function(x) {\r\n\t\tvar s = e * Math.sin(x);\r\n\t\tvar c = e * Math.cos(x);\r\n\t\tvar f = x - s - M;\r\n\t\tvar f1 = 1 - c;\r\n\t\tvar f2 = s;\r\n\r\n\t\tx += -5 * f / (f1 + CMath.sign(f1) * Math.sqrt(Math.abs(16 * f1 * f1 - 20 * f * f2)));\r\n\t\treturn x;\r\n\t};\r\n};\r\n\r\nvar solveKeplerLaguerreConwayHyp = function(e, M) {\r\n\treturn function(x) {\r\n\t\tvar s = e * CMath.sinh(x);\r\n\t\tvar c = e * CMath.cosh(x);\r\n\t\tvar f = x - s - M;\r\n\t\tvar f1 = c - 1;\r\n\t\tvar f2 = s;\r\n\r\n\t\tx += -5 * f / (f1 + CMath.sign(f1) * Math.sqrt(Math.abs(16 * f1 * f1 - 20 * f * f2)));\r\n\t\treturn x;\r\n\t};\r\n};\r\n\r\nmodule.exports = {\r\n\tsetDefaultOrbit : function(orbitalElements, calculator) {\r\n\t\tthis.orbitalElements = orbitalElements;\r\n\t\tif(orbitalElements && orbitalElements.epoch) {\r\n\t\t\tthis.epochCorrection = ns.getEpochTime(orbitalElements.epoch);\r\n\t\t}\r\n\t\tthis.calculator = calculator;\r\n\t},\r\n\r\n\tsetName : function(name){\r\n\t\tthis.name = name;\r\n\t},\r\n\r\n\tcalculateVelocity : function(timeEpoch, relativeTo, isFromDelta) {\r\n\t\tif(!this.orbitalElements) return new THREE.Vector3(0,0,0);\r\n\r\n\t\tvar eclipticVelocity;\r\n\t\t\r\n\t\tif ( isFromDelta ) {\r\n\t\t\tvar pos1 = this.calculatePosition(timeEpoch);\r\n\t\t\tvar pos2 = this.calculatePosition(timeEpoch + 60);\r\n\t\t\teclipticVelocity = pos2.sub(pos1).multiplyScalar(1/60);\r\n\t\t} else {\r\n\t\t\t//vis viva to calculate speed (not velocity, i.e not a vector)\r\n\t\t\tvar el = this.calculateElements(timeEpoch);\r\n\t\t\tvar speed = Math.sqrt(ns.G * require('./SolarSystem').getBody(relativeTo).mass * ((2 / (el.r)) - (1 / (el.a))));\r\n\r\n\t\t\t//now calculate velocity orientation, that is, a vector tangent to the orbital ellipse\r\n\t\t\tvar k = el.r / el.a;\r\n\t\t\tvar o = ((2 - (2 * el.e * el.e)) / (k * (2-k)))-1;\r\n\t\t\t//floating point imprecision\r\n\t\t\to = o > 1 ? 1 : o;\r\n\t\t\tvar alpha = Math.PI - Math.acos(o);\r\n\t\t\talpha = el.v < 0 ? (2 * Math.PI) - alpha  : alpha;\r\n\t\t\tvar velocityAngle = el.v + (alpha / 2);\r\n\t\t\t//velocity vector in the plane of the orbit\r\n\t\t\tvar orbitalVelocity = new THREE.Vector3(Math.cos(velocityAngle), Math.sin(velocityAngle)).setLength(speed);\r\n\t\t\tvar velocityEls = Utils.extend({}, el, {pos:orbitalVelocity, v:null, r:null});\r\n\t\t\teclipticVelocity = this.getPositionFromElements(velocityEls);\r\n\t\t}\r\n\r\n\t\t//var diff = eclipticVelocityFromDelta.sub(eclipticVelocity);console.log(diff.length());\r\n\t\treturn eclipticVelocity;\r\n\t\t\r\n\t},\r\n\r\n\tcalculatePosition : function(timeEpoch) {\r\n\t\tif(!this.orbitalElements) return new THREE.Vector3(0,0,0);\r\n\t\tvar computed = this.calculateElements(timeEpoch);\r\n\t\tvar pos =  this.getPositionFromElements(computed);\r\n\t\treturn pos;\r\n\t},\r\n\r\n\tsolveEccentricAnomaly : function(e, M){\r\n\t\tif (e == 0.0) {\r\n\t\t\treturn M;\r\n\t\t}  else if (e < 0.9) {\r\n\t\t\tvar sol = solveEccentricAnomaly(solveKepler(e, M), M, 6);\r\n\t\t\treturn sol;\r\n\t\t} else if (e < 1.0) {\r\n\t\t\tvar E = M + 0.85 * e * ((Math.sin(M) >= 0.0) ? 1 : -1);\r\n\t\t\tvar sol = solveEccentricAnomaly(solveKeplerLaguerreConway(e, M), E, 8);\r\n\t\t\treturn sol;\r\n\t\t} else if (e == 1.0) {\r\n\t\t\treturn M;\r\n\t\t} else {\r\n\t\t\tvar E = Math.log(2 * M / e + 1.85);\r\n\t\t\tvar sol = solveEccentricAnomaly(solveKeplerLaguerreConwayHyp(e, M), E, 30);\r\n\t\t\treturn sol;\r\n\t\t}\r\n\t},\r\n\r\n\tcalculateElements : function(timeEpoch, forcedOrbitalElements) {\r\n\t\tif(!forcedOrbitalElements && !this.orbitalElements) return null;\r\n\r\n\t\tvar orbitalElements = forcedOrbitalElements || this.orbitalElements;\r\n\r\n\t\t/*\r\n\r\n\t\tEpoch : J2000\r\n\r\n\t\ta \tSemi-major axis\r\n\t    e \tEccentricity\r\n\t    i \tInclination\r\n\t    o \tLongitude of Ascending Node (Ω)\r\n\t    w \tArgument of periapsis (ω)\r\n\t\tE \tEccentric Anomaly\r\n\t    T \tTime at perihelion\r\n\t    M\tMean anomaly\r\n\t    l \tMean Longitude\r\n\t    lp\tlongitude of periapsis\r\n\t    r\tdistance du centre\r\n\t    v\ttrue anomaly\r\n\r\n\t    P\tSidereal period (mean value)\r\n\t\tPw\tArgument of periapsis precession period (mean value)\r\n\t\tPn\tLongitude of the ascending node precession period (mean value)\r\n\r\n\t    */\r\n\t    if (this.epochCorrection) {\r\n\t    \ttimeEpoch -= this.epochCorrection;\r\n\t    }\r\n\t\tvar tDays = timeEpoch / ns.DAY;\r\n\t\tvar T = tDays / ns.CENTURY ;\r\n\t\t//console.log(T);\r\n\t\tvar computed = {\r\n\t\t\tt : timeEpoch\r\n\t\t};\r\n\r\n\t\tif(this.calculator && !forcedOrbitalElements) {\r\n\t\t\tvar realorbit = this.calculator(T);\r\n\t\t\tUtils.extend(computed, realorbit);\r\n\t\t} else {\r\n\r\n\t\t\tif (orbitalElements.base) {\r\n\t\t\t\tvar variation;\r\n\t\t\t\tfor(var el in orbitalElements.base) {\r\n\t\t\t\t\t//cy : variation by century.\r\n\t\t\t\t\t//day : variation by day.\r\n\t\t\t\t\tvariation = orbitalElements.cy ? orbitalElements.cy[el] : (orbitalElements.day[el] * ns.CENTURY);\r\n\t\t\t\t\tvariation = variation || 0;\r\n\t\t\t\t\tcomputed[el] = orbitalElements.base[el] + (variation * T);\r\n\t\t\t\t}\r\n\t\t\t} else {\r\n\t\t\t\tcomputed = Utils.extend({}, orbitalElements);\r\n\t\t\t}\r\n\r\n\t\t\tif (undefined === computed.w) {\r\n\t\t\t\tcomputed.w = computed.lp - computed.o;\r\n\t\t\t}\r\n\r\n\t\t\tif (undefined === computed.M) {\r\n\t\t\t\tcomputed.M = computed.l - computed.lp;\r\n\t\t\t}\r\n\r\n\t\t\tcomputed.a = computed.a * ns.KM;//was in km, set it in m\r\n\t\t}\r\n\r\n\r\n\t\tcomputed.i = ns.DEG_TO_RAD * computed.i;\r\n\t\tcomputed.o = ns.DEG_TO_RAD * computed.o;\r\n\t\tcomputed.w = ns.DEG_TO_RAD * computed.w;\r\n\t\tcomputed.M = ns.DEG_TO_RAD * computed.M;\r\n\r\n\t\tcomputed.E = this.solveEccentricAnomaly(computed.e, computed.M);\r\n\r\n\t\tcomputed.E = computed.E % ns.CIRCLE;\r\n\t\tcomputed.i = computed.i % ns.CIRCLE;\r\n\t\tcomputed.o = computed.o % ns.CIRCLE;\r\n\t\tcomputed.w = computed.w % ns.CIRCLE;\r\n\t\tcomputed.M = computed.M % ns.CIRCLE;\r\n\r\n\t\t//in the plane of the orbit\r\n\t\tcomputed.pos = new THREE.Vector3(computed.a * (Math.cos(computed.E) - computed.e), computed.a * (Math.sqrt(1 - (computed.e*computed.e))) * Math.sin(computed.E));\r\n\r\n\t\tcomputed.r = computed.pos.length();\r\n\t\tcomputed.v = Math.atan2(computed.pos.y, computed.pos.x);\r\n\t\tif(orbitalElements.relativeTo) {\r\n\t\t\tvar relativeTo = require('./SolarSystem').getBody(orbitalElements.relativeTo);\r\n\t\t\tif(relativeTo.tilt) {\r\n\t\t\t\tcomputed.tilt = -relativeTo.tilt * ns.DEG_TO_RAD;\r\n\t\t\t}\r\n\t\t};\r\n\t\treturn computed;\r\n\t},\r\n\r\n\tgetPositionFromElements : function(computed) {\r\n\r\n\t\tif(!computed) return new THREE.Vector3(0,0,0);\r\n\r\n\t\tvar a1 = new THREE.Euler(computed.tilt || 0, 0, computed.o, 'XYZ');\r\n\t\tvar q1 = new THREE.Quaternion().setFromEuler(a1);\r\n\t\tvar a2 = new THREE.Euler(computed.i, 0, computed.w, 'XYZ');\r\n\t\tvar q2 = new THREE.Quaternion().setFromEuler(a2);\r\n\r\n\t\tvar planeQuat = new THREE.Quaternion().multiplyQuaternions(q1, q2);\r\n\t\tcomputed.pos.applyQuaternion(planeQuat);\r\n\t\treturn computed.pos;\r\n\t},\r\n\r\n\tcalculatePeriod : function(elements, relativeTo) {\r\n\t\tvar period;\r\n\t\tif(this.orbitalElements && this.orbitalElements.day && this.orbitalElements.day.M) {\r\n\t\t\tperiod = 360 / this.orbitalElements.day.M ;\r\n\t\t}else if(require('./SolarSystem').getBody(relativeTo) && require('./SolarSystem').getBody(relativeTo).k && elements) {\r\n\t\t\tperiod = 2 * Math.PI * Math.sqrt(Math.pow(elements.a/(ns.AU*1000), 3)) / require('./SolarSystem').getBody(relativeTo).k;\r\n\t\t}\r\n\t\tperiod *= ns.DAY;//in seconds\r\n\t\treturn period;\r\n\t}\r\n};\r\n","'use strict';\n\nvar ns = require('ns');\nvar Utils = require('./Utils');\nvar definitions = require('./Definitions');\nvar CelestialBody = require('./CelestialBody');\n\n\nvar bodies = definitions.map(function(def){\n\tvar body = Object.create(CelestialBody);\n\tUtils.extend(body, def);\n\tbody.init();\n\treturn body;\n});\n\nvar names = bodies.reduce(function(carry, body){\n\tcarry[body.name] = body;\n\treturn carry;\n}, {});\n\nvar central = bodies.reduce(function(carry, body){\n\tcarry = carry && carry.mass > body.mass ? carry : body;\n\treturn carry;\n}, null);\n\n\nconsole.log(bodies);\n\nmodule.exports = {\n\tgetBody: function(name){\n\t\treturn names[name] || central;\n\t},\n\tgetPositions: function(userDate, calculateVelocity){\n\t\tvar epochTime = ns.getEpochTime(userDate);\n\t\treturn bodies.map(function(body){\n\t\t\tbody.setPositionFromDate(epochTime, calculateVelocity);\n\t\t\treturn {\n\t\t\t\tname: body.name,\n\t\t\t\tposition: body.getPosition(),\n\t\t\t\tvelocity: body.getVelocity()\n\t\t\t};\n\t\t});\n\t}\n};","\n'use strict';\n\nvar THREE = global.THREE = {};\n\nrequire('../vendor/three/math/Vector3');\nrequire('../vendor/three/math/Quaternion');\nrequire('../vendor/three/math/Euler');\n\nmodule.exports = THREE;","/*\r\n\tGlobal vars\r\n*/\r\n\r\n'use strict';\r\n\r\nvar extend = function(){\r\n\tif(arguments.length === 1) return arguments[0];\r\n\tvar source = Array.prototype.splice.call(arguments, 1, 1)[0];\r\n\targuments[0] = Object.keys(source).reduce(function(carry, key){\r\n\t\tcarry[key] = source[key];\r\n\t\treturn carry;\r\n\t}, arguments[0]);\r\n\treturn extend.apply(null, arguments);\r\n};\r\n\r\nmodule.exports = {\r\n\textend: extend\r\n};\r\n","/**\n * @author mrdoob / http://mrdoob.com/\n * @author WestLangley / http://github.com/WestLangley\n * @author bhouston / http://exocortex.com\n */\n\nTHREE.Euler = function ( x, y, z, order ) {\n\n\tthis._x = x || 0;\n\tthis._y = y || 0;\n\tthis._z = z || 0;\n\tthis._order = order || THREE.Euler.DefaultOrder;\n\n};\n\nTHREE.Euler.RotationOrders = [ 'XYZ', 'YZX', 'ZXY', 'XZY', 'YXZ', 'ZYX' ];\n\nTHREE.Euler.DefaultOrder = 'XYZ';\n\nTHREE.Euler.prototype = {\n\n\tconstructor: THREE.Euler,\n\n\t_x: 0, _y: 0, _z: 0, _order: THREE.Euler.DefaultOrder,\n\n\tget x () {\n\n\t\treturn this._x;\n\n\t},\n\n\tset x ( value ) {\n\n\t\tthis._x = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget y () {\n\n\t\treturn this._y;\n\n\t},\n\n\tset y ( value ) {\n\n\t\tthis._y = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget z () {\n\n\t\treturn this._z;\n\n\t},\n\n\tset z ( value ) {\n\n\t\tthis._z = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget order () {\n\n\t\treturn this._order;\n\n\t},\n\n\tset order ( value ) {\n\n\t\tthis._order = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tset: function ( x, y, z, order ) {\n\n\t\tthis._x = x;\n\t\tthis._y = y;\n\t\tthis._z = z;\n\t\tthis._order = order || this._order;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tcopy: function ( euler ) {\n\n\t\tthis._x = euler._x;\n\t\tthis._y = euler._y;\n\t\tthis._z = euler._z;\n\t\tthis._order = euler._order;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromRotationMatrix: function ( m, order, update ) {\n\n\t\tvar clamp = THREE.Math.clamp;\n\n\t\t// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)\n\n\t\tvar te = m.elements;\n\t\tvar m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ];\n\t\tvar m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ];\n\t\tvar m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ];\n\n\t\torder = order || this._order;\n\n\t\tif ( order === 'XYZ' ) {\n\n\t\t\tthis._y = Math.asin( clamp( m13, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m13 ) < 0.99999 ) {\n\n\t\t\t\tthis._x = Math.atan2( - m23, m33 );\n\t\t\t\tthis._z = Math.atan2( - m12, m11 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._x = Math.atan2( m32, m22 );\n\t\t\t\tthis._z = 0;\n\n\t\t\t}\n\n\t\t} else if ( order === 'YXZ' ) {\n\n\t\t\tthis._x = Math.asin( - clamp( m23, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m23 ) < 0.99999 ) {\n\n\t\t\t\tthis._y = Math.atan2( m13, m33 );\n\t\t\t\tthis._z = Math.atan2( m21, m22 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._y = Math.atan2( - m31, m11 );\n\t\t\t\tthis._z = 0;\n\n\t\t\t}\n\n\t\t} else if ( order === 'ZXY' ) {\n\n\t\t\tthis._x = Math.asin( clamp( m32, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m32 ) < 0.99999 ) {\n\n\t\t\t\tthis._y = Math.atan2( - m31, m33 );\n\t\t\t\tthis._z = Math.atan2( - m12, m22 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._y = 0;\n\t\t\t\tthis._z = Math.atan2( m21, m11 );\n\n\t\t\t}\n\n\t\t} else if ( order === 'ZYX' ) {\n\n\t\t\tthis._y = Math.asin( - clamp( m31, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m31 ) < 0.99999 ) {\n\n\t\t\t\tthis._x = Math.atan2( m32, m33 );\n\t\t\t\tthis._z = Math.atan2( m21, m11 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._x = 0;\n\t\t\t\tthis._z = Math.atan2( - m12, m22 );\n\n\t\t\t}\n\n\t\t} else if ( order === 'YZX' ) {\n\n\t\t\tthis._z = Math.asin( clamp( m21, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m21 ) < 0.99999 ) {\n\n\t\t\t\tthis._x = Math.atan2( - m23, m22 );\n\t\t\t\tthis._y = Math.atan2( - m31, m11 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._x = 0;\n\t\t\t\tthis._y = Math.atan2( m13, m33 );\n\n\t\t\t}\n\n\t\t} else if ( order === 'XZY' ) {\n\n\t\t\tthis._z = Math.asin( - clamp( m12, - 1, 1 ) );\n\n\t\t\tif ( Math.abs( m12 ) < 0.99999 ) {\n\n\t\t\t\tthis._x = Math.atan2( m32, m22 );\n\t\t\t\tthis._y = Math.atan2( m13, m11 );\n\n\t\t\t} else {\n\n\t\t\t\tthis._x = Math.atan2( - m23, m33 );\n\t\t\t\tthis._y = 0;\n\n\t\t\t}\n\n\t\t} else {\n\n\t\t\tTHREE.warn( 'THREE.Euler: .setFromRotationMatrix() given unsupported order: ' + order )\n\n\t\t}\n\n\t\tthis._order = order;\n\n\t\tif ( update !== false ) this.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromQuaternion: function () {\n\n\t\tvar matrix;\n\n\t\treturn function ( q, order, update ) {\n\n\t\t\tif ( matrix === undefined ) matrix = new THREE.Matrix4();\n\t\t\tmatrix.makeRotationFromQuaternion( q );\n\t\t\tthis.setFromRotationMatrix( matrix, order, update );\n\n\t\t\treturn this;\n\n\t\t};\n\n\t}(),\n\n\tsetFromVector3: function ( v, order ) {\n\n\t\treturn this.set( v.x, v.y, v.z, order || this._order );\n\n\t},\n\n\treorder: function () {\n\n\t\t// WARNING: this discards revolution information -bhouston\n\n\t\tvar q = new THREE.Quaternion();\n\n\t\treturn function ( newOrder ) {\n\n\t\t\tq.setFromEuler( this );\n\t\t\tthis.setFromQuaternion( q, newOrder );\n\n\t\t};\n\n\t}(),\n\n\tequals: function ( euler ) {\n\n\t\treturn ( euler._x === this._x ) && ( euler._y === this._y ) && ( euler._z === this._z ) && ( euler._order === this._order );\n\n\t},\n\n\tfromArray: function ( array ) {\n\n\t\tthis._x = array[ 0 ];\n\t\tthis._y = array[ 1 ];\n\t\tthis._z = array[ 2 ];\n\t\tif ( array[ 3 ] !== undefined ) this._order = array[ 3 ];\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\ttoArray: function ( array, offset ) {\n\n\t\tif ( array === undefined ) array = [];\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tarray[ offset ] = this._x;\n\t\tarray[ offset + 1 ] = this._y;\n\t\tarray[ offset + 2 ] = this._z;\n\t\tarray[ offset + 3 ] = this._order;\n\n\t\treturn array;\n\t},\n\n\ttoVector3: function ( optionalResult ) {\n\n\t\tif ( optionalResult ) {\n\n\t\t\treturn optionalResult.set( this._x, this._y, this._z );\n\n\t\t} else {\n\n\t\t\treturn new THREE.Vector3( this._x, this._y, this._z );\n\n\t\t}\n\n\t},\n\n\tonChange: function ( callback ) {\n\n\t\tthis.onChangeCallback = callback;\n\n\t\treturn this;\n\n\t},\n\n\tonChangeCallback: function () {},\n\n\tclone: function () {\n\n\t\treturn new THREE.Euler( this._x, this._y, this._z, this._order );\n\n\t}\n\n};\n","/**\n * @author mikael emtinger / http://gomo.se/\n * @author alteredq / http://alteredqualia.com/\n * @author WestLangley / http://github.com/WestLangley\n * @author bhouston / http://exocortex.com\n */\n\nTHREE.Quaternion = function ( x, y, z, w ) {\n\n\tthis._x = x || 0;\n\tthis._y = y || 0;\n\tthis._z = z || 0;\n\tthis._w = ( w !== undefined ) ? w : 1;\n\n};\n\nTHREE.Quaternion.prototype = {\n\n\tconstructor: THREE.Quaternion,\n\n\t_x: 0,_y: 0, _z: 0, _w: 0,\n\n\tget x () {\n\n\t\treturn this._x;\n\n\t},\n\n\tset x ( value ) {\n\n\t\tthis._x = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget y () {\n\n\t\treturn this._y;\n\n\t},\n\n\tset y ( value ) {\n\n\t\tthis._y = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget z () {\n\n\t\treturn this._z;\n\n\t},\n\n\tset z ( value ) {\n\n\t\tthis._z = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tget w () {\n\n\t\treturn this._w;\n\n\t},\n\n\tset w ( value ) {\n\n\t\tthis._w = value;\n\t\tthis.onChangeCallback();\n\n\t},\n\n\tset: function ( x, y, z, w ) {\n\n\t\tthis._x = x;\n\t\tthis._y = y;\n\t\tthis._z = z;\n\t\tthis._w = w;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tcopy: function ( quaternion ) {\n\n\t\tthis._x = quaternion.x;\n\t\tthis._y = quaternion.y;\n\t\tthis._z = quaternion.z;\n\t\tthis._w = quaternion.w;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromEuler: function ( euler, update ) {\n\n\t\tif ( euler instanceof THREE.Euler === false ) {\n\n\t\t\tthrow new Error( 'THREE.Quaternion: .setFromEuler() now expects a Euler rotation rather than a Vector3 and order.' );\n\t\t}\n\n\t\t// http://www.mathworks.com/matlabcentral/fileexchange/\n\t\t// \t20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/\n\t\t//\tcontent/SpinCalc.m\n\n\t\tvar c1 = Math.cos( euler._x / 2 );\n\t\tvar c2 = Math.cos( euler._y / 2 );\n\t\tvar c3 = Math.cos( euler._z / 2 );\n\t\tvar s1 = Math.sin( euler._x / 2 );\n\t\tvar s2 = Math.sin( euler._y / 2 );\n\t\tvar s3 = Math.sin( euler._z / 2 );\n\n\t\tif ( euler.order === 'XYZ' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 + c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 - s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 + s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 - s1 * s2 * s3;\n\n\t\t} else if ( euler.order === 'YXZ' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 + c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 - s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 - s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 + s1 * s2 * s3;\n\n\t\t} else if ( euler.order === 'ZXY' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 - c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 + s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 + s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 - s1 * s2 * s3;\n\n\t\t} else if ( euler.order === 'ZYX' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 - c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 + s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 - s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 + s1 * s2 * s3;\n\n\t\t} else if ( euler.order === 'YZX' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 + c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 + s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 - s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 - s1 * s2 * s3;\n\n\t\t} else if ( euler.order === 'XZY' ) {\n\n\t\t\tthis._x = s1 * c2 * c3 - c1 * s2 * s3;\n\t\t\tthis._y = c1 * s2 * c3 - s1 * c2 * s3;\n\t\t\tthis._z = c1 * c2 * s3 + s1 * s2 * c3;\n\t\t\tthis._w = c1 * c2 * c3 + s1 * s2 * s3;\n\n\t\t}\n\n\t\tif ( update !== false ) this.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromAxisAngle: function ( axis, angle ) {\n\n\t\t// http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm\n\n\t\t// assumes axis is normalized\n\n\t\tvar halfAngle = angle / 2, s = Math.sin( halfAngle );\n\n\t\tthis._x = axis.x * s;\n\t\tthis._y = axis.y * s;\n\t\tthis._z = axis.z * s;\n\t\tthis._w = Math.cos( halfAngle );\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromRotationMatrix: function ( m ) {\n\n\t\t// http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm\n\n\t\t// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)\n\n\t\tvar te = m.elements,\n\n\t\t\tm11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ],\n\t\t\tm21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ],\n\t\t\tm31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ],\n\n\t\t\ttrace = m11 + m22 + m33,\n\t\t\ts;\n\n\t\tif ( trace > 0 ) {\n\n\t\t\ts = 0.5 / Math.sqrt( trace + 1.0 );\n\n\t\t\tthis._w = 0.25 / s;\n\t\t\tthis._x = ( m32 - m23 ) * s;\n\t\t\tthis._y = ( m13 - m31 ) * s;\n\t\t\tthis._z = ( m21 - m12 ) * s;\n\n\t\t} else if ( m11 > m22 && m11 > m33 ) {\n\n\t\t\ts = 2.0 * Math.sqrt( 1.0 + m11 - m22 - m33 );\n\n\t\t\tthis._w = ( m32 - m23 ) / s;\n\t\t\tthis._x = 0.25 * s;\n\t\t\tthis._y = ( m12 + m21 ) / s;\n\t\t\tthis._z = ( m13 + m31 ) / s;\n\n\t\t} else if ( m22 > m33 ) {\n\n\t\t\ts = 2.0 * Math.sqrt( 1.0 + m22 - m11 - m33 );\n\n\t\t\tthis._w = ( m13 - m31 ) / s;\n\t\t\tthis._x = ( m12 + m21 ) / s;\n\t\t\tthis._y = 0.25 * s;\n\t\t\tthis._z = ( m23 + m32 ) / s;\n\n\t\t} else {\n\n\t\t\ts = 2.0 * Math.sqrt( 1.0 + m33 - m11 - m22 );\n\n\t\t\tthis._w = ( m21 - m12 ) / s;\n\t\t\tthis._x = ( m13 + m31 ) / s;\n\t\t\tthis._y = ( m23 + m32 ) / s;\n\t\t\tthis._z = 0.25 * s;\n\n\t\t}\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tsetFromUnitVectors: function () {\n\n\t\t// http://lolengine.net/blog/2014/02/24/quaternion-from-two-vectors-final\n\n\t\t// assumes direction vectors vFrom and vTo are normalized\n\n\t\tvar v1, r;\n\n\t\tvar EPS = 0.000001;\n\n\t\treturn function ( vFrom, vTo ) {\n\n\t\t\tif ( v1 === undefined ) v1 = new THREE.Vector3();\n\n\t\t\tr = vFrom.dot( vTo ) + 1;\n\n\t\t\tif ( r < EPS ) {\n\n\t\t\t\tr = 0;\n\n\t\t\t\tif ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) {\n\n\t\t\t\t\tv1.set( - vFrom.y, vFrom.x, 0 );\n\n\t\t\t\t} else {\n\n\t\t\t\t\tv1.set( 0, - vFrom.z, vFrom.y );\n\n\t\t\t\t}\n\n\t\t\t} else {\n\n\t\t\t\tv1.crossVectors( vFrom, vTo );\n\n\t\t\t}\n\n\t\t\tthis._x = v1.x;\n\t\t\tthis._y = v1.y;\n\t\t\tthis._z = v1.z;\n\t\t\tthis._w = r;\n\n\t\t\tthis.normalize();\n\n\t\t\treturn this;\n\n\t\t}\n\n\t}(),\n\n\tinverse: function () {\n\n\t\tthis.conjugate().normalize();\n\n\t\treturn this;\n\n\t},\n\n\tconjugate: function () {\n\n\t\tthis._x *= - 1;\n\t\tthis._y *= - 1;\n\t\tthis._z *= - 1;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tdot: function ( v ) {\n\n\t\treturn this._x * v._x + this._y * v._y + this._z * v._z + this._w * v._w;\n\n\t},\n\n\tlengthSq: function () {\n\n\t\treturn this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w;\n\n\t},\n\n\tlength: function () {\n\n\t\treturn Math.sqrt( this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w );\n\n\t},\n\n\tnormalize: function () {\n\n\t\tvar l = this.length();\n\n\t\tif ( l === 0 ) {\n\n\t\t\tthis._x = 0;\n\t\t\tthis._y = 0;\n\t\t\tthis._z = 0;\n\t\t\tthis._w = 1;\n\n\t\t} else {\n\n\t\t\tl = 1 / l;\n\n\t\t\tthis._x = this._x * l;\n\t\t\tthis._y = this._y * l;\n\t\t\tthis._z = this._z * l;\n\t\t\tthis._w = this._w * l;\n\n\t\t}\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tmultiply: function ( q, p ) {\n\n\t\tif ( p !== undefined ) {\n\n\t\t\tTHREE.warn( 'THREE.Quaternion: .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead.' );\n\t\t\treturn this.multiplyQuaternions( q, p );\n\n\t\t}\n\n\t\treturn this.multiplyQuaternions( this, q );\n\n\t},\n\n\tmultiplyQuaternions: function ( a, b ) {\n\n\t\t// from http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm\n\n\t\tvar qax = a._x, qay = a._y, qaz = a._z, qaw = a._w;\n\t\tvar qbx = b._x, qby = b._y, qbz = b._z, qbw = b._w;\n\n\t\tthis._x = qax * qbw + qaw * qbx + qay * qbz - qaz * qby;\n\t\tthis._y = qay * qbw + qaw * qby + qaz * qbx - qax * qbz;\n\t\tthis._z = qaz * qbw + qaw * qbz + qax * qby - qay * qbx;\n\t\tthis._w = qaw * qbw - qax * qbx - qay * qby - qaz * qbz;\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tmultiplyVector3: function ( vector ) {\n\n\t\tTHREE.warn( 'THREE.Quaternion: .multiplyVector3() has been removed. Use is now vector.applyQuaternion( quaternion ) instead.' );\n\t\treturn vector.applyQuaternion( this );\n\n\t},\n\n\tslerp: function ( qb, t ) {\n\n\t\tif ( t === 0 ) return this;\n\t\tif ( t === 1 ) return this.copy( qb );\n\n\t\tvar x = this._x, y = this._y, z = this._z, w = this._w;\n\n\t\t// http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/\n\n\t\tvar cosHalfTheta = w * qb._w + x * qb._x + y * qb._y + z * qb._z;\n\n\t\tif ( cosHalfTheta < 0 ) {\n\n\t\t\tthis._w = - qb._w;\n\t\t\tthis._x = - qb._x;\n\t\t\tthis._y = - qb._y;\n\t\t\tthis._z = - qb._z;\n\n\t\t\tcosHalfTheta = - cosHalfTheta;\n\n\t\t} else {\n\n\t\t\tthis.copy( qb );\n\n\t\t}\n\n\t\tif ( cosHalfTheta >= 1.0 ) {\n\n\t\t\tthis._w = w;\n\t\t\tthis._x = x;\n\t\t\tthis._y = y;\n\t\t\tthis._z = z;\n\n\t\t\treturn this;\n\n\t\t}\n\n\t\tvar halfTheta = Math.acos( cosHalfTheta );\n\t\tvar sinHalfTheta = Math.sqrt( 1.0 - cosHalfTheta * cosHalfTheta );\n\n\t\tif ( Math.abs( sinHalfTheta ) < 0.001 ) {\n\n\t\t\tthis._w = 0.5 * ( w + this._w );\n\t\t\tthis._x = 0.5 * ( x + this._x );\n\t\t\tthis._y = 0.5 * ( y + this._y );\n\t\t\tthis._z = 0.5 * ( z + this._z );\n\n\t\t\treturn this;\n\n\t\t}\n\n\t\tvar ratioA = Math.sin( ( 1 - t ) * halfTheta ) / sinHalfTheta,\n\t\tratioB = Math.sin( t * halfTheta ) / sinHalfTheta;\n\n\t\tthis._w = ( w * ratioA + this._w * ratioB );\n\t\tthis._x = ( x * ratioA + this._x * ratioB );\n\t\tthis._y = ( y * ratioA + this._y * ratioB );\n\t\tthis._z = ( z * ratioA + this._z * ratioB );\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\tequals: function ( quaternion ) {\n\n\t\treturn ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w );\n\n\t},\n\n\tfromArray: function ( array, offset ) {\n\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tthis._x = array[ offset ];\n\t\tthis._y = array[ offset + 1 ];\n\t\tthis._z = array[ offset + 2 ];\n\t\tthis._w = array[ offset + 3 ];\n\n\t\tthis.onChangeCallback();\n\n\t\treturn this;\n\n\t},\n\n\ttoArray: function ( array, offset ) {\n\n\t\tif ( array === undefined ) array = [];\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tarray[ offset ] = this._x;\n\t\tarray[ offset + 1 ] = this._y;\n\t\tarray[ offset + 2 ] = this._z;\n\t\tarray[ offset + 3 ] = this._w;\n\n\t\treturn array;\n\n\t},\n\n\tonChange: function ( callback ) {\n\n\t\tthis.onChangeCallback = callback;\n\n\t\treturn this;\n\n\t},\n\n\tonChangeCallback: function () {},\n\n\tclone: function () {\n\n\t\treturn new THREE.Quaternion( this._x, this._y, this._z, this._w );\n\n\t}\n\n};\n\nTHREE.Quaternion.slerp = function ( qa, qb, qm, t ) {\n\n\treturn qm.copy( qa ).slerp( qb, t );\n\n}\n","/**\n * @author mrdoob / http://mrdoob.com/\n * @author *kile / http://kile.stravaganza.org/\n * @author philogb / http://blog.thejit.org/\n * @author mikael emtinger / http://gomo.se/\n * @author egraether / http://egraether.com/\n * @author WestLangley / http://github.com/WestLangley\n */\n\nTHREE.Vector3 = function ( x, y, z ) {\n\n\tthis.x = x || 0;\n\tthis.y = y || 0;\n\tthis.z = z || 0;\n\n};\n\nTHREE.Vector3.prototype = {\n\n\tconstructor: THREE.Vector3,\n\n\tset: function ( x, y, z ) {\n\n\t\tthis.x = x;\n\t\tthis.y = y;\n\t\tthis.z = z;\n\n\t\treturn this;\n\n\t},\n\n\tsetX: function ( x ) {\n\n\t\tthis.x = x;\n\n\t\treturn this;\n\n\t},\n\n\tsetY: function ( y ) {\n\n\t\tthis.y = y;\n\n\t\treturn this;\n\n\t},\n\n\tsetZ: function ( z ) {\n\n\t\tthis.z = z;\n\n\t\treturn this;\n\n\t},\n\n\tsetComponent: function ( index, value ) {\n\n\t\tswitch ( index ) {\n\n\t\t\tcase 0: this.x = value; break;\n\t\t\tcase 1: this.y = value; break;\n\t\t\tcase 2: this.z = value; break;\n\t\t\tdefault: throw new Error( 'index is out of range: ' + index );\n\n\t\t}\n\n\t},\n\n\tgetComponent: function ( index ) {\n\n\t\tswitch ( index ) {\n\n\t\t\tcase 0: return this.x;\n\t\t\tcase 1: return this.y;\n\t\t\tcase 2: return this.z;\n\t\t\tdefault: throw new Error( 'index is out of range: ' + index );\n\n\t\t}\n\n\t},\n\n\tcopy: function ( v ) {\n\n\t\tthis.x = v.x;\n\t\tthis.y = v.y;\n\t\tthis.z = v.z;\n\n\t\treturn this;\n\n\t},\n\n\tadd: function ( v, w ) {\n\n\t\tif ( w !== undefined ) {\n\n\t\t\tTHREE.warn( 'THREE.Vector3: .add() now only accepts one argument. Use .addVectors( a, b ) instead.' );\n\t\t\treturn this.addVectors( v, w );\n\n\t\t}\n\n\t\tthis.x += v.x;\n\t\tthis.y += v.y;\n\t\tthis.z += v.z;\n\n\t\treturn this;\n\n\t},\n\n\taddScalar: function ( s ) {\n\n\t\tthis.x += s;\n\t\tthis.y += s;\n\t\tthis.z += s;\n\n\t\treturn this;\n\n\t},\n\n\taddVectors: function ( a, b ) {\n\n\t\tthis.x = a.x + b.x;\n\t\tthis.y = a.y + b.y;\n\t\tthis.z = a.z + b.z;\n\n\t\treturn this;\n\n\t},\n\n\tsub: function ( v, w ) {\n\n\t\tif ( w !== undefined ) {\n\n\t\t\tTHREE.warn( 'THREE.Vector3: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' );\n\t\t\treturn this.subVectors( v, w );\n\n\t\t}\n\n\t\tthis.x -= v.x;\n\t\tthis.y -= v.y;\n\t\tthis.z -= v.z;\n\n\t\treturn this;\n\n\t},\n\t\n\tsubScalar: function ( s ) {\n\n\t\tthis.x -= s;\n\t\tthis.y -= s;\n\t\tthis.z -= s;\n\n\t\treturn this;\n\n\t},\n\n\tsubVectors: function ( a, b ) {\n\n\t\tthis.x = a.x - b.x;\n\t\tthis.y = a.y - b.y;\n\t\tthis.z = a.z - b.z;\n\n\t\treturn this;\n\n\t},\n\n\tmultiply: function ( v, w ) {\n\n\t\tif ( w !== undefined ) {\n\n\t\t\tTHREE.warn( 'THREE.Vector3: .multiply() now only accepts one argument. Use .multiplyVectors( a, b ) instead.' );\n\t\t\treturn this.multiplyVectors( v, w );\n\n\t\t}\n\n\t\tthis.x *= v.x;\n\t\tthis.y *= v.y;\n\t\tthis.z *= v.z;\n\n\t\treturn this;\n\n\t},\n\n\tmultiplyScalar: function ( scalar ) {\n\n\t\tthis.x *= scalar;\n\t\tthis.y *= scalar;\n\t\tthis.z *= scalar;\n\n\t\treturn this;\n\n\t},\n\n\tmultiplyVectors: function ( a, b ) {\n\n\t\tthis.x = a.x * b.x;\n\t\tthis.y = a.y * b.y;\n\t\tthis.z = a.z * b.z;\n\n\t\treturn this;\n\n\t},\n\n\tapplyEuler: function () {\n\n\t\tvar quaternion;\n\n\t\treturn function ( euler ) {\n\n\t\t\tif ( euler instanceof THREE.Euler === false ) {\n\n\t\t\t\tTHREE.error( 'THREE.Vector3: .applyEuler() now expects a Euler rotation rather than a Vector3 and order.' );\n\n\t\t\t}\n\n\t\t\tif ( quaternion === undefined ) quaternion = new THREE.Quaternion();\n\n\t\t\tthis.applyQuaternion( quaternion.setFromEuler( euler ) );\n\n\t\t\treturn this;\n\n\t\t};\n\n\t}(),\n\n\tapplyAxisAngle: function () {\n\n\t\tvar quaternion;\n\n\t\treturn function ( axis, angle ) {\n\n\t\t\tif ( quaternion === undefined ) quaternion = new THREE.Quaternion();\n\n\t\t\tthis.applyQuaternion( quaternion.setFromAxisAngle( axis, angle ) );\n\n\t\t\treturn this;\n\n\t\t};\n\n\t}(),\n\n\tapplyMatrix3: function ( m ) {\n\n\t\tvar x = this.x;\n\t\tvar y = this.y;\n\t\tvar z = this.z;\n\n\t\tvar e = m.elements;\n\n\t\tthis.x = e[ 0 ] * x + e[ 3 ] * y + e[ 6 ] * z;\n\t\tthis.y = e[ 1 ] * x + e[ 4 ] * y + e[ 7 ] * z;\n\t\tthis.z = e[ 2 ] * x + e[ 5 ] * y + e[ 8 ] * z;\n\n\t\treturn this;\n\n\t},\n\n\tapplyMatrix4: function ( m ) {\n\n\t\t// input: THREE.Matrix4 affine matrix\n\n\t\tvar x = this.x, y = this.y, z = this.z;\n\n\t\tvar e = m.elements;\n\n\t\tthis.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ]  * z + e[ 12 ];\n\t\tthis.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ]  * z + e[ 13 ];\n\t\tthis.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ];\n\n\t\treturn this;\n\n\t},\n\n\tapplyProjection: function ( m ) {\n\n\t\t// input: THREE.Matrix4 projection matrix\n\n\t\tvar x = this.x, y = this.y, z = this.z;\n\n\t\tvar e = m.elements;\n\t\tvar d = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] ); // perspective divide\n\n\t\tthis.x = ( e[ 0 ] * x + e[ 4 ] * y + e[ 8 ]  * z + e[ 12 ] ) * d;\n\t\tthis.y = ( e[ 1 ] * x + e[ 5 ] * y + e[ 9 ]  * z + e[ 13 ] ) * d;\n\t\tthis.z = ( e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] ) * d;\n\n\t\treturn this;\n\n\t},\n\n\tapplyQuaternion: function ( q ) {\n\n\t\tvar x = this.x;\n\t\tvar y = this.y;\n\t\tvar z = this.z;\n\n\t\tvar qx = q.x;\n\t\tvar qy = q.y;\n\t\tvar qz = q.z;\n\t\tvar qw = q.w;\n\n\t\t// calculate quat * vector\n\n\t\tvar ix =  qw * x + qy * z - qz * y;\n\t\tvar iy =  qw * y + qz * x - qx * z;\n\t\tvar iz =  qw * z + qx * y - qy * x;\n\t\tvar iw = - qx * x - qy * y - qz * z;\n\n\t\t// calculate result * inverse quat\n\n\t\tthis.x = ix * qw + iw * - qx + iy * - qz - iz * - qy;\n\t\tthis.y = iy * qw + iw * - qy + iz * - qx - ix * - qz;\n\t\tthis.z = iz * qw + iw * - qz + ix * - qy - iy * - qx;\n\n\t\treturn this;\n\n\t},\n\n\tproject: function () {\n\n\t\tvar matrix;\n\n\t\treturn function ( camera ) {\n\n\t\t\tif ( matrix === undefined ) matrix = new THREE.Matrix4();\n\n\t\t\tmatrix.multiplyMatrices( camera.projectionMatrix, matrix.getInverse( camera.matrixWorld ) );\n\t\t\treturn this.applyProjection( matrix );\n\n\t\t};\n\n\t}(),\n\n\tunproject: function () {\n\n\t\tvar matrix;\n\n\t\treturn function ( camera ) {\n\n\t\t\tif ( matrix === undefined ) matrix = new THREE.Matrix4();\n\n\t\t\tmatrix.multiplyMatrices( camera.matrixWorld, matrix.getInverse( camera.projectionMatrix ) );\n\t\t\treturn this.applyProjection( matrix );\n\n\t\t};\n\n\t}(),\n\n\ttransformDirection: function ( m ) {\n\n\t\t// input: THREE.Matrix4 affine matrix\n\t\t// vector interpreted as a direction\n\n\t\tvar x = this.x, y = this.y, z = this.z;\n\n\t\tvar e = m.elements;\n\n\t\tthis.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ]  * z;\n\t\tthis.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ]  * z;\n\t\tthis.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z;\n\n\t\tthis.normalize();\n\n\t\treturn this;\n\n\t},\n\n\tdivide: function ( v ) {\n\n\t\tthis.x /= v.x;\n\t\tthis.y /= v.y;\n\t\tthis.z /= v.z;\n\n\t\treturn this;\n\n\t},\n\n\tdivideScalar: function ( scalar ) {\n\n\t\tif ( scalar !== 0 ) {\n\n\t\t\tvar invScalar = 1 / scalar;\n\n\t\t\tthis.x *= invScalar;\n\t\t\tthis.y *= invScalar;\n\t\t\tthis.z *= invScalar;\n\n\t\t} else {\n\n\t\t\tthis.x = 0;\n\t\t\tthis.y = 0;\n\t\t\tthis.z = 0;\n\n\t\t}\n\n\t\treturn this;\n\n\t},\n\n\tmin: function ( v ) {\n\n\t\tif ( this.x > v.x ) {\n\n\t\t\tthis.x = v.x;\n\n\t\t}\n\n\t\tif ( this.y > v.y ) {\n\n\t\t\tthis.y = v.y;\n\n\t\t}\n\n\t\tif ( this.z > v.z ) {\n\n\t\t\tthis.z = v.z;\n\n\t\t}\n\n\t\treturn this;\n\n\t},\n\n\tmax: function ( v ) {\n\n\t\tif ( this.x < v.x ) {\n\n\t\t\tthis.x = v.x;\n\n\t\t}\n\n\t\tif ( this.y < v.y ) {\n\n\t\t\tthis.y = v.y;\n\n\t\t}\n\n\t\tif ( this.z < v.z ) {\n\n\t\t\tthis.z = v.z;\n\n\t\t}\n\n\t\treturn this;\n\n\t},\n\n\tclamp: function ( min, max ) {\n\n\t\t// This function assumes min < max, if this assumption isn't true it will not operate correctly\n\n\t\tif ( this.x < min.x ) {\n\n\t\t\tthis.x = min.x;\n\n\t\t} else if ( this.x > max.x ) {\n\n\t\t\tthis.x = max.x;\n\n\t\t}\n\n\t\tif ( this.y < min.y ) {\n\n\t\t\tthis.y = min.y;\n\n\t\t} else if ( this.y > max.y ) {\n\n\t\t\tthis.y = max.y;\n\n\t\t}\n\n\t\tif ( this.z < min.z ) {\n\n\t\t\tthis.z = min.z;\n\n\t\t} else if ( this.z > max.z ) {\n\n\t\t\tthis.z = max.z;\n\n\t\t}\n\n\t\treturn this;\n\n\t},\n\n\tclampScalar: ( function () {\n\n\t\tvar min, max;\n\n\t\treturn function ( minVal, maxVal ) {\n\n\t\t\tif ( min === undefined ) {\n\n\t\t\t\tmin = new THREE.Vector3();\n\t\t\t\tmax = new THREE.Vector3();\n\n\t\t\t}\n\n\t\t\tmin.set( minVal, minVal, minVal );\n\t\t\tmax.set( maxVal, maxVal, maxVal );\n\n\t\t\treturn this.clamp( min, max );\n\n\t\t};\n\n\t} )(),\n\n\tfloor: function () {\n\n\t\tthis.x = Math.floor( this.x );\n\t\tthis.y = Math.floor( this.y );\n\t\tthis.z = Math.floor( this.z );\n\n\t\treturn this;\n\n\t},\n\n\tceil: function () {\n\n\t\tthis.x = Math.ceil( this.x );\n\t\tthis.y = Math.ceil( this.y );\n\t\tthis.z = Math.ceil( this.z );\n\n\t\treturn this;\n\n\t},\n\n\tround: function () {\n\n\t\tthis.x = Math.round( this.x );\n\t\tthis.y = Math.round( this.y );\n\t\tthis.z = Math.round( this.z );\n\n\t\treturn this;\n\n\t},\n\n\troundToZero: function () {\n\n\t\tthis.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x );\n\t\tthis.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y );\n\t\tthis.z = ( this.z < 0 ) ? Math.ceil( this.z ) : Math.floor( this.z );\n\n\t\treturn this;\n\n\t},\n\n\tnegate: function () {\n\n\t\tthis.x = - this.x;\n\t\tthis.y = - this.y;\n\t\tthis.z = - this.z;\n\n\t\treturn this;\n\n\t},\n\n\tdot: function ( v ) {\n\n\t\treturn this.x * v.x + this.y * v.y + this.z * v.z;\n\n\t},\n\n\tlengthSq: function () {\n\n\t\treturn this.x * this.x + this.y * this.y + this.z * this.z;\n\n\t},\n\n\tlength: function () {\n\n\t\treturn Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z );\n\n\t},\n\n\tlengthManhattan: function () {\n\n\t\treturn Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z );\n\n\t},\n\n\tnormalize: function () {\n\n\t\treturn this.divideScalar( this.length() );\n\n\t},\n\n\tsetLength: function ( l ) {\n\n\t\tvar oldLength = this.length();\n\n\t\tif ( oldLength !== 0 && l !== oldLength  ) {\n\n\t\t\tthis.multiplyScalar( l / oldLength );\n\t\t}\n\n\t\treturn this;\n\n\t},\n\n\tlerp: function ( v, alpha ) {\n\n\t\tthis.x += ( v.x - this.x ) * alpha;\n\t\tthis.y += ( v.y - this.y ) * alpha;\n\t\tthis.z += ( v.z - this.z ) * alpha;\n\n\t\treturn this;\n\n\t},\n\n\tlerpVectors: function ( v1, v2, alpha ) {\n\n\t\tthis.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 );\n\n\t\treturn this;\n\n\t},\n\n\tcross: function ( v, w ) {\n\n\t\tif ( w !== undefined ) {\n\n\t\t\tTHREE.warn( 'THREE.Vector3: .cross() now only accepts one argument. Use .crossVectors( a, b ) instead.' );\n\t\t\treturn this.crossVectors( v, w );\n\n\t\t}\n\n\t\tvar x = this.x, y = this.y, z = this.z;\n\n\t\tthis.x = y * v.z - z * v.y;\n\t\tthis.y = z * v.x - x * v.z;\n\t\tthis.z = x * v.y - y * v.x;\n\n\t\treturn this;\n\n\t},\n\n\tcrossVectors: function ( a, b ) {\n\n\t\tvar ax = a.x, ay = a.y, az = a.z;\n\t\tvar bx = b.x, by = b.y, bz = b.z;\n\n\t\tthis.x = ay * bz - az * by;\n\t\tthis.y = az * bx - ax * bz;\n\t\tthis.z = ax * by - ay * bx;\n\n\t\treturn this;\n\n\t},\n\n\tprojectOnVector: function () {\n\n\t\tvar v1, dot;\n\n\t\treturn function ( vector ) {\n\n\t\t\tif ( v1 === undefined ) v1 = new THREE.Vector3();\n\n\t\t\tv1.copy( vector ).normalize();\n\n\t\t\tdot = this.dot( v1 );\n\n\t\t\treturn this.copy( v1 ).multiplyScalar( dot );\n\n\t\t};\n\n\t}(),\n\n\tprojectOnPlane: function () {\n\n\t\tvar v1;\n\n\t\treturn function ( planeNormal ) {\n\n\t\t\tif ( v1 === undefined ) v1 = new THREE.Vector3();\n\n\t\t\tv1.copy( this ).projectOnVector( planeNormal );\n\n\t\t\treturn this.sub( v1 );\n\n\t\t}\n\n\t}(),\n\n\treflect: function () {\n\n\t\t// reflect incident vector off plane orthogonal to normal\n\t\t// normal is assumed to have unit length\n\n\t\tvar v1;\n\n\t\treturn function ( normal ) {\n\n\t\t\tif ( v1 === undefined ) v1 = new THREE.Vector3();\n\n\t\t\treturn this.sub( v1.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) );\n\n\t\t}\n\n\t}(),\n\n\tangleTo: function ( v ) {\n\n\t\tvar theta = this.dot( v ) / ( this.length() * v.length() );\n\n\t\t// clamp, to handle numerical problems\n\n\t\treturn Math.acos( THREE.Math.clamp( theta, - 1, 1 ) );\n\n\t},\n\n\tdistanceTo: function ( v ) {\n\n\t\treturn Math.sqrt( this.distanceToSquared( v ) );\n\n\t},\n\n\tdistanceToSquared: function ( v ) {\n\n\t\tvar dx = this.x - v.x;\n\t\tvar dy = this.y - v.y;\n\t\tvar dz = this.z - v.z;\n\n\t\treturn dx * dx + dy * dy + dz * dz;\n\n\t},\n\n\tsetEulerFromRotationMatrix: function ( m, order ) {\n\n\t\tTHREE.error( 'THREE.Vector3: .setEulerFromRotationMatrix() has been removed. Use Euler.setFromRotationMatrix() instead.' );\n\n\t},\n\n\tsetEulerFromQuaternion: function ( q, order ) {\n\n\t\tTHREE.error( 'THREE.Vector3: .setEulerFromQuaternion() has been removed. Use Euler.setFromQuaternion() instead.' );\n\n\t},\n\n\tgetPositionFromMatrix: function ( m ) {\n\n\t\tTHREE.warn( 'THREE.Vector3: .getPositionFromMatrix() has been renamed to .setFromMatrixPosition().' );\n\n\t\treturn this.setFromMatrixPosition( m );\n\n\t},\n\n\tgetScaleFromMatrix: function ( m ) {\n\n\t\tTHREE.warn( 'THREE.Vector3: .getScaleFromMatrix() has been renamed to .setFromMatrixScale().' );\n\n\t\treturn this.setFromMatrixScale( m );\n\t},\n\n\tgetColumnFromMatrix: function ( index, matrix ) {\n\n\t\tTHREE.warn( 'THREE.Vector3: .getColumnFromMatrix() has been renamed to .setFromMatrixColumn().' );\n\n\t\treturn this.setFromMatrixColumn( index, matrix );\n\n\t},\n\n\tsetFromMatrixPosition: function ( m ) {\n\n\t\tthis.x = m.elements[ 12 ];\n\t\tthis.y = m.elements[ 13 ];\n\t\tthis.z = m.elements[ 14 ];\n\n\t\treturn this;\n\n\t},\n\n\tsetFromMatrixScale: function ( m ) {\n\n\t\tvar sx = this.set( m.elements[ 0 ], m.elements[ 1 ], m.elements[  2 ] ).length();\n\t\tvar sy = this.set( m.elements[ 4 ], m.elements[ 5 ], m.elements[  6 ] ).length();\n\t\tvar sz = this.set( m.elements[ 8 ], m.elements[ 9 ], m.elements[ 10 ] ).length();\n\n\t\tthis.x = sx;\n\t\tthis.y = sy;\n\t\tthis.z = sz;\n\n\t\treturn this;\n\t},\n\n\tsetFromMatrixColumn: function ( index, matrix ) {\n\t\t\n\t\tvar offset = index * 4;\n\n\t\tvar me = matrix.elements;\n\n\t\tthis.x = me[ offset ];\n\t\tthis.y = me[ offset + 1 ];\n\t\tthis.z = me[ offset + 2 ];\n\n\t\treturn this;\n\n\t},\n\n\tequals: function ( v ) {\n\n\t\treturn ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );\n\n\t},\n\n\tfromArray: function ( array, offset ) {\n\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tthis.x = array[ offset ];\n\t\tthis.y = array[ offset + 1 ];\n\t\tthis.z = array[ offset + 2 ];\n\n\t\treturn this;\n\n\t},\n\n\ttoArray: function ( array, offset ) {\n\n\t\tif ( array === undefined ) array = [];\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tarray[ offset ] = this.x;\n\t\tarray[ offset + 1 ] = this.y;\n\t\tarray[ offset + 2 ] = this.z;\n\n\t\treturn array;\n\n\t},\n\n\tfromAttribute: function ( attribute, index, offset ) {\n\n\t\tif ( offset === undefined ) offset = 0;\n\n\t\tindex = index * attribute.itemSize + offset;\n\n\t\tthis.x = attribute.array[ index ];\n\t\tthis.y = attribute.array[ index + 1 ];\n\t\tthis.z = attribute.array[ index + 2 ];\n\n\t\treturn this;\n\n\t},\n\n\tclone: function () {\n\n\t\treturn new THREE.Vector3( this.x, this.y, this.z );\n\n\t}\n\n};\n"]}