Iau2000Orientation.js 5.1 KB

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  1. import defined from './defined.js';
  2. import IauOrientationParameters from './IauOrientationParameters.js';
  3. import JulianDate from './JulianDate.js';
  4. import CesiumMath from './Math.js';
  5. import TimeConstants from './TimeConstants.js';
  6. /**
  7. * This is a collection of the orientation information available for central bodies.
  8. * The data comes from the Report of the IAU/IAG Working Group on Cartographic
  9. * Coordinates and Rotational Elements: 2000.
  10. *
  11. * @exports Iau2000Orientation
  12. *
  13. * @private
  14. */
  15. var Iau2000Orientation = {};
  16. var TdtMinusTai = 32.184;
  17. var J2000d = 2451545.0;
  18. var c1 = -0.0529921;
  19. var c2 = -0.1059842;
  20. var c3 = 13.0120009;
  21. var c4 = 13.3407154;
  22. var c5 = 0.9856003;
  23. var c6 = 26.4057084;
  24. var c7 = 13.0649930;
  25. var c8 = 0.3287146;
  26. var c9 = 1.7484877;
  27. var c10 = -0.1589763;
  28. var c11 = 0.0036096;
  29. var c12 = 0.1643573;
  30. var c13 = 12.9590088;
  31. var dateTT = new JulianDate();
  32. /**
  33. * Compute the orientation parameters for the Moon.
  34. *
  35. * @param {JulianDate} [date=JulianDate.now()] The date to evaluate the parameters.
  36. * @param {IauOrientationParameters} [result] The object onto which to store the result.
  37. * @returns {IauOrientationParameters} The modified result parameter or a new instance representing the orientation of the Earth's Moon.
  38. */
  39. Iau2000Orientation.ComputeMoon = function(date, result) {
  40. if (!defined(date)) {
  41. date = JulianDate.now();
  42. }
  43. dateTT = JulianDate.addSeconds(date, TdtMinusTai, dateTT);
  44. var d = JulianDate.totalDays(dateTT) - J2000d;
  45. var T = d / TimeConstants.DAYS_PER_JULIAN_CENTURY;
  46. var E1 = (125.045 + c1 * d) * CesiumMath.RADIANS_PER_DEGREE;
  47. var E2 = (250.089 + c2 * d) * CesiumMath.RADIANS_PER_DEGREE;
  48. var E3 = (260.008 + c3 * d) * CesiumMath.RADIANS_PER_DEGREE;
  49. var E4 = (176.625 + c4 * d) * CesiumMath.RADIANS_PER_DEGREE;
  50. var E5 = (357.529 + c5 * d) * CesiumMath.RADIANS_PER_DEGREE;
  51. var E6 = (311.589 + c6 * d) * CesiumMath.RADIANS_PER_DEGREE;
  52. var E7 = (134.963 + c7 * d) * CesiumMath.RADIANS_PER_DEGREE;
  53. var E8 = (276.617 + c8 * d) * CesiumMath.RADIANS_PER_DEGREE;
  54. var E9 = (34.226 + c9 * d) * CesiumMath.RADIANS_PER_DEGREE;
  55. var E10 = (15.134 + c10 * d) * CesiumMath.RADIANS_PER_DEGREE;
  56. var E11 = (119.743 + c11 * d) * CesiumMath.RADIANS_PER_DEGREE;
  57. var E12 = (239.961 + c12 * d) * CesiumMath.RADIANS_PER_DEGREE;
  58. var E13 = (25.053 + c13 * d) * CesiumMath.RADIANS_PER_DEGREE;
  59. var sinE1 = Math.sin(E1);
  60. var sinE2 = Math.sin(E2);
  61. var sinE3 = Math.sin(E3);
  62. var sinE4 = Math.sin(E4);
  63. var sinE5 = Math.sin(E5);
  64. var sinE6 = Math.sin(E6);
  65. var sinE7 = Math.sin(E7);
  66. var sinE8 = Math.sin(E8);
  67. var sinE9 = Math.sin(E9);
  68. var sinE10 = Math.sin(E10);
  69. var sinE11 = Math.sin(E11);
  70. var sinE12 = Math.sin(E12);
  71. var sinE13 = Math.sin(E13);
  72. var cosE1 = Math.cos(E1);
  73. var cosE2 = Math.cos(E2);
  74. var cosE3 = Math.cos(E3);
  75. var cosE4 = Math.cos(E4);
  76. var cosE5 = Math.cos(E5);
  77. var cosE6 = Math.cos(E6);
  78. var cosE7 = Math.cos(E7);
  79. var cosE8 = Math.cos(E8);
  80. var cosE9 = Math.cos(E9);
  81. var cosE10 = Math.cos(E10);
  82. var cosE11 = Math.cos(E11);
  83. var cosE12 = Math.cos(E12);
  84. var cosE13 = Math.cos(E13);
  85. var rightAscension = (269.9949 + 0.0031 * T - 3.8787 * sinE1 - 0.1204 * sinE2 +
  86. 0.0700 * sinE3 - 0.0172 * sinE4 + 0.0072 * sinE6 -
  87. 0.0052 * sinE10 + 0.0043 * sinE13) *
  88. CesiumMath.RADIANS_PER_DEGREE;
  89. var declination = (66.5392 + 0.013 * T + 1.5419 * cosE1 + 0.0239 * cosE2 -
  90. 0.0278 * cosE3 + 0.0068 * cosE4 - 0.0029 * cosE6 +
  91. 0.0009 * cosE7 + 0.0008 * cosE10 - 0.0009 * cosE13) *
  92. CesiumMath.RADIANS_PER_DEGREE;
  93. var rotation = (38.3213 + 13.17635815 * d - 1.4e-12 * d * d + 3.5610 * sinE1 +
  94. 0.1208 * sinE2 - 0.0642 * sinE3 + 0.0158 * sinE4 +
  95. 0.0252 * sinE5 - 0.0066 * sinE6 - 0.0047 * sinE7 -
  96. 0.0046 * sinE8 + 0.0028 * sinE9 + 0.0052 * sinE10 +
  97. 0.004 * sinE11 + 0.0019 * sinE12 - 0.0044 * sinE13) *
  98. CesiumMath.RADIANS_PER_DEGREE;
  99. var rotationRate = ((13.17635815 - 1.4e-12 * (2.0 * d)) +
  100. 3.5610 * cosE1 * c1 +
  101. 0.1208 * cosE2*c2 - 0.0642 * cosE3*c3 + 0.0158 * cosE4*c4 +
  102. 0.0252 * cosE5*c5 - 0.0066 * cosE6*c6 - 0.0047 * cosE7*c7 -
  103. 0.0046 * cosE8*c8 + 0.0028 * cosE9*c9 + 0.0052 * cosE10*c10 +
  104. 0.004 * cosE11*c11 + 0.0019 * cosE12*c12 - 0.0044 * cosE13*c13) /
  105. 86400.0 * CesiumMath.RADIANS_PER_DEGREE;
  106. if (!defined(result)) {
  107. result = new IauOrientationParameters();
  108. }
  109. result.rightAscension = rightAscension;
  110. result.declination = declination;
  111. result.rotation = rotation;
  112. result.rotationRate = rotationRate;
  113. return result;
  114. };
  115. export default Iau2000Orientation;