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17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 17x 51x 51x 51x 51x 51x 17x 17x 17x 16x 16x 48x 48x 48x 48x 48x 48x 48x 16x 16x 16x 16x 16x 16x 16x 1x 1x 17x 1x 1x 1x 1x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 87x 1x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 19x 1x | // lib/spa.js
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.spa_calculate = exports.topocentric_azimuth_angle = exports.topocentric_azimuth_angle_astro = exports.topocentric_zenith_angle = exports.topocentric_elevation_angle_corrected = exports.atmospheric_refraction_correction = exports.topocentric_elevation_angle = exports.topocentric_local_hour_angle = exports.topocentric_right_ascension = exports.right_ascension_parallax_and_topocentric_dec = exports.observer_hour_angle = exports.geocentric_declination = exports.geocentric_right_ascension = exports.third_order_polynomial = exports.limit_degrees = exports.rad2deg = exports.deg2rad = exports.SpaData = exports.SPA_ALL = exports.SPA_ZA_RTS = exports.SPA_ZA_INC = exports.SPA_ZA = exports.OutCode = void 0;
var OutCode;
(function (OutCode) {
OutCode[OutCode["SPA_ZA"] = 0] = "SPA_ZA";
OutCode[OutCode["SPA_ZA_INC"] = 1] = "SPA_ZA_INC";
OutCode[OutCode["SPA_ZA_RTS"] = 2] = "SPA_ZA_RTS";
OutCode[OutCode["SPA_ALL"] = 3] = "SPA_ALL"; //calculate all SPA output values
})(OutCode = exports.OutCode || (exports.OutCode = {}));
//For external reference as per original C definition
exports.SPA_ZA = OutCode.SPA_ZA;
exports.SPA_ZA_INC = OutCode.SPA_ZA_INC;
exports.SPA_ZA_RTS = OutCode.SPA_ZA_RTS;
exports.SPA_ALL = OutCode.SPA_ALL;
var PI = Math.PI;
var SUN_RADIUS = 0.26667;
var L_COUNT = 6;
var B_COUNT = 2;
var R_COUNT = 5;
var Y_COUNT = 63;
var TermsA;
(function (TermsA) {
TermsA[TermsA["TERM_A"] = 0] = "TERM_A";
TermsA[TermsA["TERM_B"] = 1] = "TERM_B";
TermsA[TermsA["TERM_C"] = 2] = "TERM_C";
TermsA[TermsA["TERM_COUNT"] = 3] = "TERM_COUNT";
})(TermsA || (TermsA = {}));
var TermsX;
(function (TermsX) {
TermsX[TermsX["TERM_X0"] = 0] = "TERM_X0";
TermsX[TermsX["TERM_X1"] = 1] = "TERM_X1";
TermsX[TermsX["TERM_X2"] = 2] = "TERM_X2";
TermsX[TermsX["TERM_X3"] = 3] = "TERM_X3";
TermsX[TermsX["TERM_X4"] = 4] = "TERM_X4";
TermsX[TermsX["TERM_X_COUNT"] = 5] = "TERM_X_COUNT";
})(TermsX || (TermsX = {}));
var TermsPE;
(function (TermsPE) {
TermsPE[TermsPE["TERM_PSI_A"] = 0] = "TERM_PSI_A";
TermsPE[TermsPE["TERM_PSI_B"] = 1] = "TERM_PSI_B";
TermsPE[TermsPE["TERM_EPS_C"] = 2] = "TERM_EPS_C";
TermsPE[TermsPE["TERM_EPS_D"] = 3] = "TERM_EPS_D";
TermsPE[TermsPE["TERM_PE_COUNT"] = 4] = "TERM_PE_COUNT";
})(TermsPE || (TermsPE = {}));
var JDSign;
(function (JDSign) {
JDSign[JDSign["JD_MINUS"] = 0] = "JD_MINUS";
JDSign[JDSign["JD_ZERO"] = 1] = "JD_ZERO";
JDSign[JDSign["JD_PLUS"] = 2] = "JD_PLUS";
JDSign[JDSign["JD_COUNT"] = 3] = "JD_COUNT";
})(JDSign || (JDSign = {}));
var SunState;
(function (SunState) {
SunState[SunState["SUN_TRANSIT"] = 0] = "SUN_TRANSIT";
SunState[SunState["SUN_RISE"] = 1] = "SUN_RISE";
SunState[SunState["SUN_SET"] = 2] = "SUN_SET";
SunState[SunState["SUN_COUNT"] = 3] = "SUN_COUNT";
})(SunState || (SunState = {}));
var TERM_Y_COUNT = TermsX.TERM_X_COUNT;
var l_subcount = [64, 34, 20, 7, 3, 1];
var b_subcount = [5, 2];
var r_subcount = [40, 10, 6, 2, 1];
var SpaData = /** @class */ (function () {
function SpaData() {
//--------------------------Input Valuse
this.year = 0; // 4-digit year, valid range: -2000 to 6000, error code: 1
this.month = 0; // 2-digit month, valid range: 1 to 12, error code: 2
this.day = 0; // 2-digit day, valid range: 1 to 31, error code: 3
this.hour = 0; // Observer local hour, valid range: 0 to 24, error code: 4
this.minute = 0; // Observer local minute, valid range: 0 to 59, error code: 5
this.second = 0.0; // Observer local second, valid range: 0 to <60, error code: 6
this.delta_ut1 = 0.0; // Fractional second difference between UTC and UT which is used
// to adjust UTC for earth's irregular rotation rate and is derived
// from observation only and is reported in this bulletin:
// http://maia.usno.navy.mil/ser7/ser7.dat,
// where delta_ut1 = DUT1
// valid range: -1 to 1 second (exclusive), error code 17
this.delta_t = 0.0; // Difference between earth rotation time and terrestrial time
// It is derived from observation only and is reported in this
// bulletin: http://maia.usno.navy.mil/ser7/ser7.dat,
// where delta_t = 32.184 + (TAI-UTC) - DUT1
// valid range: -8000 to 8000 seconds, error code: 7
this.timezone = 0.0; // Observer time zone (negative west of Greenwich)
// valid range: -18 to 18 hours, error code: 8
this.longitude = 0.0; // Observer longitude (negative west of Greenwich)
// valid range: -180 to 180 degrees, error code: 9
this.latitude = 0.0; // Observer latitude (negative south of equator)
// valid range: -90 to 90 degrees, error code: 10
this.elevation = 0.0; // Observer elevation [meters]
// valid range: -6500000 or higher meters, error code: 11
this.pressure = 0.0; // Annual average local pressure [millibars]
// valid range: 0 to 5000 millibars, error code: 12
this.temperature = 0.0; // Annual average local temperature [degrees Celsius]
// valid range: -273 to 6000 degrees Celsius, error code 13
this.slope = 0.0; // Surface slope (measured from the horizontal plane)
// valid range: -360 to 360 degrees, error code: 14
this.azm_rotation = 0.0; // Surface azimuth rotation (measured from south to projection of
// surface normal on horizontal plane, negative east)
// valid range: -360 to 360 degrees, error code: 15
this.atmos_refract = 0.0; // Atmospheric refraction at sunrise and sunset (0.5667 deg is typical)
// valid range: -5 to 5 degrees, error code: 16
this.function = 0; // Switch to choose functions for desired output (from enumeration)
//-----------------ermediate OUTPUT VALUES--------------------
this.jd = 0.0; //Julian day
this.jc = 0.0; //Julian century
this.jde = 0.0; //Julian ephemeris day
this.jce = 0.0; //Julian ephemeris century
this.jme = 0.0; //Julian ephemeris millennium
this.l = 0.0; //earth heliocentric longitude [degrees]
this.b = 0.0; //earth heliocentric latitude [degrees]
this.r = 0.0; //earth radius vector [Astronomical Units, AU]
this.theta = 0.0; //geocentric longitude [degrees]
this.beta = 0.0; //geocentric latitude [degrees]
this.x0 = 0.0; //mean elongation (moon-sun) [degrees]
this.x1 = 0.0; //mean anomaly (sun) [degrees]
this.x2 = 0.0; //mean anomaly (moon) [degrees]
this.x3 = 0.0; //argument latitude (moon) [degrees]
this.x4 = 0.0; //ascending longitude (moon) [degrees]
this.del_psi = 0.0; //nutation longitude [degrees]
this.del_epsilon = 0.0; //nutation obliquity [degrees]
this.epsilon0 = 0.0; //ecliptic mean obliquity [arc seconds]
this.epsilon = 0.0; //ecliptic true obliquity [degrees]
this.del_tau = 0.0; //aberration correction [degrees]
this.lamda = 0.0; //apparent sun longitude [degrees]
this.nu0 = 0.0; //Greenwich mean sidereal time [degrees]
this.nu = 0.0; //Greenwich sidereal time [degrees]
this.alpha = 0.0; //geocentric sun right ascension [degrees]
this.delta = 0.0; //geocentric sun declination [degrees]
this.h = 0.0; //observer hour angle [degrees]
this.xi = 0.0; //sun equatorial horizontal parallax [degrees]
this.del_alpha = 0.0; //sun right ascension parallax [degrees]
this.delta_prime = 0.0; //topocentric sun declination [degrees]
this.alpha_prime = 0.0; //topocentric sun right ascension [degrees]
this.h_prime = 0.0; //topocentric local hour angle [degrees]
this.e0 = 0.0; //topocentric elevation angle (uncorrected) [degrees]
this.del_e = 0.0; //atmospheric refraction correction [degrees]
this.e = 0.0; //topocentric elevation angle (corrected) [degrees]
this.eot = 0.0; //equation of time [minutes]
this.srha = 0.0; //sunrise hour angle [degrees]
this.ssha = 0.0; //sunset hour angle [degrees]
this.sta = 0.0; //sun transit altitude [degrees]
//---------------------Final OUTPUT VALUES------------------------
this.zenith = 0.0; //topocentric zenith angle [degrees]
this.azimuth_astro = 0.0; //topocentric azimuth angle (westward from south) [for astronomers]
this.azimuth = 0.0; //topocentric azimuth angle (eastward from north) [for navigators and solar radiation]
this.incidence = 0.0; //surface incidence angle [degrees]
this.suntransit = 0.0; //local sun transit time (or solar noon) [fractional hour]
this.sunrise = 0.0; //local sunrise time (+/- 30 seconds) [fractional hour]
this.sunset = 0.0; //local sunset time (+/- 30 seconds) [fractional hour]
}
return SpaData;
}());
exports.SpaData = SpaData;
var copySPA = function (src) {
return Array.isArray(src)
? src.map(function (i) { return copySPA(i); })
: typeof src === 'object'
? Object.getOwnPropertyNames(src).reduce(function (o, prop) {
Object.defineProperty(o, prop, Object.getOwnPropertyDescriptor(src, prop));
o[prop] = copySPA(src[prop]);
return o;
}, Object.create(Object.getPrototypeOf(src)))
: src;
};
//===================Earth Periodic Terms===================
var L_TERMS = [
[
[175347046.0, 0, 0],
[3341656.0, 4.6692568, 6283.07585],
[34894.0, 4.6261, 12566.1517],
[3497.0, 2.7441, 5753.3849],
[3418.0, 2.8289, 3.5231],
[3136.0, 3.6277, 77713.7715],
[2676.0, 4.4181, 7860.4194],
[2343.0, 6.1352, 3930.2097],
[1324.0, 0.7425, 11506.7698],
[1273.0, 2.0371, 529.691],
[1199.0, 1.1096, 1577.3435],
[990, 5.233, 5884.927],
[902, 2.045, 26.298],
[857, 3.508, 398.149],
[780, 1.179, 5223.694],
[753, 2.533, 5507.553],
[505, 4.583, 18849.228],
[492, 4.205, 775.523],
[357, 2.92, 0.067],
[317, 5.849, 11790.629],
[284, 1.899, 796.298],
[271, 0.315, 10977.079],
[243, 0.345, 5486.778],
[206, 4.806, 2544.314],
[205, 1.869, 5573.143],
[202, 2.458, 6069.777],
[156, 0.833, 213.299],
[132, 3.411, 2942.463],
[126, 1.083, 20.775],
[115, 0.645, 0.98],
[103, 0.636, 4694.003],
[102, 0.976, 15720.839],
[102, 4.267, 7.114],
[99, 6.21, 2146.17],
[98, 0.68, 155.42],
[86, 5.98, 161000.69],
[85, 1.3, 6275.96],
[85, 3.67, 71430.7],
[80, 1.81, 17260.15],
[79, 3.04, 12036.46],
[75, 1.76, 5088.63],
[74, 3.5, 3154.69],
[74, 4.68, 801.82],
[70, 0.83, 9437.76],
[62, 3.98, 8827.39],
[61, 1.82, 7084.9],
[57, 2.78, 6286.6],
[56, 4.39, 14143.5],
[56, 3.47, 6279.55],
[52, 0.19, 12139.55],
[52, 1.33, 1748.02],
[51, 0.28, 5856.48],
[49, 0.49, 1194.45],
[41, 5.37, 8429.24],
[41, 2.4, 19651.05],
[39, 6.17, 10447.39],
[37, 6.04, 10213.29],
[37, 2.57, 1059.38],
[36, 1.71, 2352.87],
[36, 1.78, 6812.77],
[33, 0.59, 17789.85],
[30, 0.44, 83996.85],
[30, 2.74, 1349.87],
[25, 3.16, 4690.48]
],
[
[628331966747.0, 0, 0],
[206059.0, 2.678235, 6283.07585],
[4303.0, 2.6351, 12566.1517],
[425.0, 1.59, 3.523],
[119.0, 5.796, 26.298],
[109.0, 2.966, 1577.344],
[93, 2.59, 18849.23],
[72, 1.14, 529.69],
[68, 1.87, 398.15],
[67, 4.41, 5507.55],
[59, 2.89, 5223.69],
[56, 2.17, 155.42],
[45, 0.4, 796.3],
[36, 0.47, 775.52],
[29, 2.65, 7.11],
[21, 5.34, 0.98],
[19, 1.85, 5486.78],
[19, 4.97, 213.3],
[17, 2.99, 6275.96],
[16, 0.03, 2544.31],
[16, 1.43, 2146.17],
[15, 1.21, 10977.08],
[12, 2.83, 1748.02],
[12, 3.26, 5088.63],
[12, 5.27, 1194.45],
[12, 2.08, 4694],
[11, 0.77, 553.57],
[10, 1.3, 6286.6],
[10, 4.24, 1349.87],
[9, 2.7, 242.73],
[9, 5.64, 951.72],
[8, 5.3, 2352.87],
[6, 2.65, 9437.76],
[6, 4.67, 4690.48]
],
[
[52919.0, 0, 0],
[8720.0, 1.0721, 6283.0758],
[309.0, 0.867, 12566.152],
[27, 0.05, 3.52],
[16, 5.19, 26.3],
[16, 3.68, 155.42],
[10, 0.76, 18849.23],
[9, 2.06, 77713.77],
[7, 0.83, 775.52],
[5, 4.66, 1577.34],
[4, 1.03, 7.11],
[4, 3.44, 5573.14],
[3, 5.14, 796.3],
[3, 6.05, 5507.55],
[3, 1.19, 242.73],
[3, 6.12, 529.69],
[3, 0.31, 398.15],
[3, 2.28, 553.57],
[2, 4.38, 5223.69],
[2, 3.75, 0.98]
],
[
[289.0, 5.844, 6283.076],
[35, 0, 0],
[17, 5.49, 12566.15],
[3, 5.2, 155.42],
[1, 4.72, 3.52],
[1, 5.3, 18849.23],
[1, 5.97, 242.73]
],
[
[114.0, 3.142, 0],
[8, 4.13, 6283.08],
[1, 3.84, 12566.15]
],
[
[1, 3.14, 0]
]
];
var B_TERMS = [
[
[280.0, 3.199, 84334.662],
[102.0, 5.422, 5507.553],
[80, 3.88, 5223.69],
[44, 3.7, 2352.87],
[32, 4, 1577.34]
],
[
[9, 3.9, 5507.55],
[6, 1.73, 5223.69]
]
];
var R_TERMS = [
[
[100013989.0, 0, 0],
[1670700.0, 3.0984635, 6283.07585],
[13956.0, 3.05525, 12566.1517],
[3084.0, 5.1985, 77713.7715],
[1628.0, 1.1739, 5753.3849],
[1576.0, 2.8469, 7860.4194],
[925.0, 5.453, 11506.77],
[542.0, 4.564, 3930.21],
[472.0, 3.661, 5884.927],
[346.0, 0.964, 5507.553],
[329.0, 5.9, 5223.694],
[307.0, 0.299, 5573.143],
[243.0, 4.273, 11790.629],
[212.0, 5.847, 1577.344],
[186.0, 5.022, 10977.079],
[175.0, 3.012, 18849.228],
[110.0, 5.055, 5486.778],
[98, 0.89, 6069.78],
[86, 5.69, 15720.84],
[86, 1.27, 161000.69],
[65, 0.27, 17260.15],
[63, 0.92, 529.69],
[57, 2.01, 83996.85],
[56, 5.24, 71430.7],
[49, 3.25, 2544.31],
[47, 2.58, 775.52],
[45, 5.54, 9437.76],
[43, 6.01, 6275.96],
[39, 5.36, 4694],
[38, 2.39, 8827.39],
[37, 0.83, 19651.05],
[37, 4.9, 12139.55],
[36, 1.67, 12036.46],
[35, 1.84, 2942.46],
[33, 0.24, 7084.9],
[32, 0.18, 5088.63],
[32, 1.78, 398.15],
[28, 1.21, 6286.6],
[28, 1.9, 6279.55],
[26, 4.59, 10447.39]
],
[
[103019.0, 1.10749, 6283.07585],
[1721.0, 1.0644, 12566.1517],
[702.0, 3.142, 0],
[32, 1.02, 18849.23],
[31, 2.84, 5507.55],
[25, 1.32, 5223.69],
[18, 1.42, 1577.34],
[10, 5.91, 10977.08],
[9, 1.42, 6275.96],
[9, 0.27, 5486.78]
],
[
[4359.0, 5.7846, 6283.0758],
[124.0, 5.579, 12566.152],
[12, 3.14, 0],
[9, 3.63, 77713.77],
[6, 1.87, 5573.14],
[3, 5.47, 18849.23]
],
[
[145.0, 4.273, 6283.076],
[7, 3.92, 12566.15]
],
[
[4, 2.56, 6283.08]
]
];
//===================Periodic Terms for the nutation in longitude and obliquity===================
var Y_TERMS = [
[0, 0, 0, 0, 1],
[-2, 0, 0, 2, 2],
[0, 0, 0, 2, 2],
[0, 0, 0, 0, 2],
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 0],
[-2, 1, 0, 2, 2],
[0, 0, 0, 2, 1],
[0, 0, 1, 2, 2],
[-2, -1, 0, 2, 2],
[-2, 0, 1, 0, 0],
[-2, 0, 0, 2, 1],
[0, 0, -1, 2, 2],
[2, 0, 0, 0, 0],
[0, 0, 1, 0, 1],
[2, 0, -1, 2, 2],
[0, 0, -1, 0, 1],
[0, 0, 1, 2, 1],
[-2, 0, 2, 0, 0],
[0, 0, -2, 2, 1],
[2, 0, 0, 2, 2],
[0, 0, 2, 2, 2],
[0, 0, 2, 0, 0],
[-2, 0, 1, 2, 2],
[0, 0, 0, 2, 0],
[-2, 0, 0, 2, 0],
[0, 0, -1, 2, 1],
[0, 2, 0, 0, 0],
[2, 0, -1, 0, 1],
[-2, 2, 0, 2, 2],
[0, 1, 0, 0, 1],
[-2, 0, 1, 0, 1],
[0, -1, 0, 0, 1],
[0, 0, 2, -2, 0],
[2, 0, -1, 2, 1],
[2, 0, 1, 2, 2],
[0, 1, 0, 2, 2],
[-2, 1, 1, 0, 0],
[0, -1, 0, 2, 2],
[2, 0, 0, 2, 1],
[2, 0, 1, 0, 0],
[-2, 0, 2, 2, 2],
[-2, 0, 1, 2, 1],
[2, 0, -2, 0, 1],
[2, 0, 0, 0, 1],
[0, -1, 1, 0, 0],
[-2, -1, 0, 2, 1],
[-2, 0, 0, 0, 1],
[0, 0, 2, 2, 1],
[-2, 0, 2, 0, 1],
[-2, 1, 0, 2, 1],
[0, 0, 1, -2, 0],
[-1, 0, 1, 0, 0],
[-2, 1, 0, 0, 0],
[1, 0, 0, 0, 0],
[0, 0, 1, 2, 0],
[0, 0, -2, 2, 2],
[-1, -1, 1, 0, 0],
[0, 1, 1, 0, 0],
[0, -1, 1, 2, 2],
[2, -1, -1, 2, 2],
[0, 0, 3, 2, 2],
[2, -1, 0, 2, 2],
];
var PE_TERMS = [
[-171996, -174.2, 92025, 8.9],
[-13187, -1.6, 5736, -3.1],
[-2274, -0.2, 977, -0.5],
[2062, 0.2, -895, 0.5],
[1426, -3.4, 54, -0.1],
[712, 0.1, -7, 0],
[-517, 1.2, 224, -0.6],
[-386, -0.4, 200, 0],
[-301, 0, 129, -0.1],
[217, -0.5, -95, 0.3],
[-158, 0, 0, 0],
[129, 0.1, -70, 0],
[123, 0, -53, 0],
[63, 0, 0, 0],
[63, 0.1, -33, 0],
[-59, 0, 26, 0],
[-58, -0.1, 32, 0],
[-51, 0, 27, 0],
[48, 0, 0, 0],
[46, 0, -24, 0],
[-38, 0, 16, 0],
[-31, 0, 13, 0],
[29, 0, 0, 0],
[29, 0, -12, 0],
[26, 0, 0, 0],
[-22, 0, 0, 0],
[21, 0, -10, 0],
[17, -0.1, 0, 0],
[16, 0, -8, 0],
[-16, 0.1, 7, 0],
[-15, 0, 9, 0],
[-13, 0, 7, 0],
[-12, 0, 6, 0],
[11, 0, 0, 0],
[-10, 0, 5, 0],
[-8, 0, 3, 0],
[7, 0, -3, 0],
[-7, 0, 0, 0],
[-7, 0, 3, 0],
[-7, 0, 3, 0],
[6, 0, 0, 0],
[6, 0, -3, 0],
[6, 0, -3, 0],
[-6, 0, 3, 0],
[-6, 0, 3, 0],
[5, 0, 0, 0],
[-5, 0, 3, 0],
[-5, 0, 3, 0],
[-5, 0, 3, 0],
[4, 0, 0, 0],
[4, 0, 0, 0],
[4, 0, 0, 0],
[-4, 0, 0, 0],
[-4, 0, 0, 0],
[-4, 0, 0, 0],
[3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
[-3, 0, 0, 0],
];
//=================== Utility functions for other applications (such as NREL's SAMPA) --------------
function deg2rad(degrees) {
return (PI / 180.0) * degrees;
}
exports.deg2rad = deg2rad;
function rad2deg(radians) {
return (180.0 / PI) * radians;
}
exports.rad2deg = rad2deg;
function limit_degrees(degrees) {
degrees /= 360;
var limited = 360 * (degrees - Math.floor(degrees));
if (limited < 0) {
limited += 360;
}
return limited;
}
exports.limit_degrees = limit_degrees;
function third_order_polynomial(a, b, c, d, x) {
return ((a * x + b) + c) * x + d;
}
exports.third_order_polynomial = third_order_polynomial;
function geocentric_right_ascension(lamda, epsilon, beta) {
var lambdaRad = deg2rad(lamda);
var epsilonRad = deg2rad(epsilon);
return limit_degrees(rad2deg(Math.atan2(Math.sin(lambdaRad) * Math.cos(epsilonRad) -
Math.tan(deg2rad(beta)) * Math.sin(epsilonRad), Math.cos(lambdaRad))));
}
exports.geocentric_right_ascension = geocentric_right_ascension;
function geocentric_declination(beta, epsilon, lamda) {
var betaRad = deg2rad(beta);
var epsilonRad = deg2rad(epsilon);
return rad2deg(Math.asin(Math.sin(betaRad) * Math.cos(epsilonRad) +
Math.cos(betaRad) * Math.sin(epsilonRad) * Math.sin(deg2rad(lamda))));
}
exports.geocentric_declination = geocentric_declination;
function observer_hour_angle(nu, longitude, alpha_deg) {
return limit_degrees(nu + longitude - alpha_deg);
}
exports.observer_hour_angle = observer_hour_angle;
function right_ascension_parallax_and_topocentric_dec(latitude, elevation, xi, h, delta, dltap) {
var delta_alpha_rad = 0;
var lat_rad = deg2rad(latitude);
var xi_rad = deg2rad(xi);
var h_rad = deg2rad(h);
var delta_rad = deg2rad(delta);
var u = Math.atan(0.99664719 * Math.tan(lat_rad));
var y = 0.99664719 * Math.sin(u) + elevation * Math.sin(lat_rad) / 6378140.0;
var x = Math.cos(u) + elevation * Math.cos(lat_rad) / 6378140.0;
delta_alpha_rad = Math.atan2(-x * Math.sin(xi_rad) * Math.sin(h_rad), Math.cos(delta_rad) - x * Math.sin(xi_rad) * Math.cos(h_rad));
dltap.delta_prime = rad2deg(Math.atan2((Math.sin(delta_rad) - y * Math.sin(xi_rad)) * Math.cos(delta_alpha_rad), Math.cos(delta_rad) - x * Math.sin(xi_rad) * Math.cos(h_rad)));
dltap.delta_alpha = rad2deg(delta_alpha_rad);
}
exports.right_ascension_parallax_and_topocentric_dec = right_ascension_parallax_and_topocentric_dec;
function topocentric_right_ascension(alpha_deg, delta_alpha) {
return alpha_deg + delta_alpha;
}
exports.topocentric_right_ascension = topocentric_right_ascension;
function topocentric_local_hour_angle(h, delta_alpha) {
return h - delta_alpha;
}
exports.topocentric_local_hour_angle = topocentric_local_hour_angle;
function topocentric_elevation_angle(latitude, delta_prime, h_prime) {
var latRad = deg2rad(latitude);
var deltaPrimeRad = deg2rad(delta_prime);
return rad2deg(Math.asin(Math.sin(latRad) * Math.sin(deltaPrimeRad) +
Math.cos(latRad) * Math.cos(deltaPrimeRad) * Math.cos(deg2rad(h_prime))));
}
exports.topocentric_elevation_angle = topocentric_elevation_angle;
function atmospheric_refraction_correction(pressure, temperature, atmos_refract, e0) {
var delE = 0;
if (e0 >= -1 * (SUN_RADIUS + atmos_refract))
delE = (pressure / 1010.0) * (283.0 / (273.0 + temperature)) *
1.02 / (60.0 * Math.tan(deg2rad(e0 + 10.3 / (e0 + 5.11))));
return delE;
}
exports.atmospheric_refraction_correction = atmospheric_refraction_correction;
function topocentric_elevation_angle_corrected(e0, delta_e) {
return e0 + delta_e;
}
exports.topocentric_elevation_angle_corrected = topocentric_elevation_angle_corrected;
function topocentric_zenith_angle(e) {
return 90.0 - e;
}
exports.topocentric_zenith_angle = topocentric_zenith_angle;
function topocentric_azimuth_angle_astro(h_prime, latitude, delta_prime) {
var h_prime_rad = deg2rad(h_prime);
var lat_rad = deg2rad(latitude);
return limit_degrees(rad2deg(Math.atan2(Math.sin(h_prime_rad), Math.cos(h_prime_rad) * Math.sin(lat_rad) - Math.tan(deg2rad(delta_prime)) * Math.cos(lat_rad))));
}
exports.topocentric_azimuth_angle_astro = topocentric_azimuth_angle_astro;
function topocentric_azimuth_angle(azimuth_astro) {
return limit_degrees(azimuth_astro + 180.0);
}
exports.topocentric_azimuth_angle = topocentric_azimuth_angle;
//=================== Local Utility functions ===================
function integer(val) {
return Math.floor(val);
}
//===============================================================
function validate_inputs(spa) {
if ((spa.year < -2000) || (spa.year > 6000))
return 1;
if ((spa.month < 1) || (spa.month > 12))
return 2;
if ((spa.day < 1) || (spa.day > 31))
return 3;
if ((spa.hour < 0) || (spa.hour > 24))
return 4;
if ((spa.minute < 0) || (spa.minute > 59))
return 5;
if ((spa.second < 0) || (spa.second >= 60))
return 6;
if ((spa.pressure < 0) || (spa.pressure > 5000))
return 12;
if ((spa.temperature <= -273) || (spa.temperature > 6000))
return 13;
if ((spa.delta_ut1 <= -1) || (spa.delta_ut1 >= 1))
return 17;
if ((spa.hour == 24) && (spa.minute > 0))
return 5;
if ((spa.hour == 24) && (spa.second > 0))
return 6;
if (Math.abs(spa.delta_t) > 8000)
return 7;
if (Math.abs(spa.timezone) > 18)
return 8;
if (Math.abs(spa.longitude) > 180)
return 9;
if (Math.abs(spa.latitude) > 90)
return 10;
if (Math.abs(spa.atmos_refract) > 5)
return 16;
if (spa.elevation < -6500000)
return 11;
return 0;
}
//===============================================================
function julian_day(year, month, day, hour, minute, second, dut1, tz) {
var day_decimal = 0.0;
var julian_day = 0.0;
var a = 0.0;
day_decimal = day + (hour - tz + (minute + (second + dut1) / 60.0) / 60.0) / 24.0;
if (month < 3) {
month += 12;
year--;
}
julian_day = integer(365.25 * (year + 4716.0)) + integer(30.6001 * (month + 1)) + day_decimal - 1524.5;
if (julian_day > 2299160.0) {
a = integer(year / 100);
julian_day += (2 - a + integer(a / 4));
}
return julian_day;
}
function julian_century(jd) {
return (jd - 2451545.0) / 36525.0;
}
function mean_elongation_moon_sun(jce) {
return third_order_polynomial(1.0 / 189474.0, -0.0019142, 445267.11148, 297.85036, jce);
}
function julian_ephemeris_day(jd, delta_t) {
return jd + delta_t / 86400.0;
}
function julian_ephemeris_century(jde) {
return (jde - 2451545.0) / 36525.0;
}
function julian_ephemeris_millennium(jce) {
return (jce / 10.0);
}
function earth_periodic_term_summation(terms, count, jme) {
var sum = 0;
for (var i = 0; i < count; i++)
sum += terms[i][TermsA.TERM_A]
* Math.cos(terms[i][TermsA.TERM_B]
+ terms[i][TermsA.TERM_C] * jme);
return sum;
}
function earth_values(term_sum, count, jme) {
var sum = 0;
for (var i = 0; i < count; i++)
sum += term_sum[i] * Math.pow(jme, i);
sum /= 1.0e8;
return sum;
}
function earth_heliocentric_longitude(jme) {
var sum = [];
for (var i = 0; i < L_COUNT; i++)
sum[i] = earth_periodic_term_summation(L_TERMS[i], l_subcount[i], jme);
return limit_degrees(rad2deg(earth_values(sum, L_COUNT, jme)));
}
function earth_heliocentric_latitude(jme) {
var sum = [];
for (var i = 0; i < B_COUNT; i++)
sum[i] = earth_periodic_term_summation(B_TERMS[i], b_subcount[i], jme);
return rad2deg(earth_values(sum, B_COUNT, jme));
}
function earth_radius_vector(jme) {
var sum = [];
for (var i = 0; i < R_COUNT; i++)
sum[i] = earth_periodic_term_summation(R_TERMS[i], r_subcount[i], jme);
return earth_values(sum, R_COUNT, jme);
}
function geocentric_longitude(l) {
var theta = l + 180.0;
if (theta >= 360.0)
theta -= 360.0;
return theta;
}
function geocentric_latitude(b) {
return -b;
}
function mean_anomaly_sun(jce) {
return third_order_polynomial(-1.0 / 300000.0, -0.0001603, 35999.05034, 357.52772, jce);
}
function mean_anomaly_moon(jce) {
return third_order_polynomial(1.0 / 56250.0, 0.0086972, 477198.867398, 134.96298, jce);
}
function argument_latitude_moon(jce) {
return third_order_polynomial(1.0 / 327270.0, -0.0036825, 483202.017538, 93.27191, jce);
}
function ascending_longitude_moon(jce) {
return third_order_polynomial(1.0 / 450000.0, 0.0020708, -1934.136261, 125.04452, jce);
}
function xy_term_summation(i, x) {
var sum = 0;
for (var j = 0; j < TERM_Y_COUNT; j++)
sum += x[j] * Y_TERMS[i][j];
return sum;
}
function nutation_longitude_and_obliquity(jce, x, spa) {
var xy_term_sum;
var sum_psi = 0;
var sum_epsilon = 0;
for (var i = 0; i < Y_COUNT; i++) {
xy_term_sum = deg2rad(xy_term_summation(i, x));
sum_psi += (PE_TERMS[i][TermsPE.TERM_PSI_A] + jce * PE_TERMS[i][TermsPE.TERM_PSI_B]) * Math.sin(xy_term_sum);
sum_epsilon += (PE_TERMS[i][TermsPE.TERM_EPS_C] + jce * PE_TERMS[i][TermsPE.TERM_EPS_D]) * Math.cos(xy_term_sum);
}
spa.del_psi = sum_psi / 36000000.0;
spa.del_epsilon = sum_epsilon / 36000000.0;
}
function ecliptic_mean_obliquity(jme) {
var u = jme / 10.0;
return 84381.448 + u * (-4680.93 + u * (-1.55 + u * (1999.25 + u * (-51.38 + u * (-249.67 +
u * (-39.05 + u * (7.12 + u * (27.87 + u * (5.79 + u * 2.45)))))))));
}
function ecliptic_true_obliquity(delta_epsilon, epsilon0) {
return delta_epsilon + epsilon0 / 3600.0;
}
function aberration_correction(r) {
return -20.4898 / (3600.0 * r);
}
function apparent_sun_longitude(theta, delta_psi, delta_tau) {
return theta + delta_psi + delta_tau;
}
function greenwich_mean_sidereal_time(jd, jc) {
return limit_degrees(280.46061837 + 360.98564736629 * (jd - 2451545.0) +
jc * jc * (0.000387933 - jc / 38710000.0));
}
function greenwich_sidereal_time(nu0, delta_psi, epsilon) {
return nu0 + delta_psi * Math.cos(deg2rad(epsilon));
}
function sun_equatorial_horizontal_parallax(r) {
return 8.794 / (3600.0 * r);
}
function surface_incidence_angle(zenith, azimuth_astro, azm_rotation, slope) {
var zenith_rad = deg2rad(zenith);
var slope_rad = deg2rad(slope);
return rad2deg(Math.acos(Math.cos(zenith_rad) * Math.cos(slope_rad) +
Math.sin(slope_rad) * Math.sin(zenith_rad) * Math.cos(deg2rad(azimuth_astro - azm_rotation))));
}
function sun_mean_longitude(jme) {
return limit_degrees(280.4664567 + jme * (360007.6982779 + jme * (0.03032028 +
jme * (1 / 49931.0 + jme * (-1 / 15300.0 + jme * (-1 / 2000000.0))))));
}
function limit_minutes(minutes) {
var limited = minutes;
if (limited < -20.0)
limited += 1440.0;
else if (limited > 20.0)
limited -= 1440.0;
return limited;
}
function eot(m, alpha, del_psi, epsilon) {
return limit_minutes(4.0 * (m - 0.0057183 - alpha + del_psi * Math.cos(deg2rad(epsilon))));
}
function approx_sun_transit_time(alpha_zero, longitude, nu) {
return (alpha_zero - longitude - nu) / 360.0;
}
function sun_hour_angle_at_rise_set(latitude, delta_zero, h0_prime) {
var h0 = -99999;
var latitude_rad = deg2rad(latitude);
var delta_zero_rad = deg2rad(delta_zero);
var argument = (Math.sin(deg2rad(h0_prime)) - Math.sin(latitude_rad) * Math.sin(delta_zero_rad)) /
(Math.cos(latitude_rad) * Math.cos(delta_zero_rad));
if (Math.abs(argument) <= 1)
h0 = limit_degrees180(rad2deg(Math.acos(argument)));
return h0;
}
function limit_zero2one(value) {
var limited = value - Math.floor(value);
if (limited < 0)
limited += 1.0;
return limited;
}
function approx_sun_rise_and_set(m_rts, h0) {
var h0_dfrac = h0 / 360.0;
m_rts[SunState.SUN_RISE] = limit_zero2one(m_rts[SunState.SUN_TRANSIT] - h0_dfrac);
m_rts[SunState.SUN_SET] = limit_zero2one(m_rts[SunState.SUN_TRANSIT] + h0_dfrac);
m_rts[SunState.SUN_TRANSIT] = limit_zero2one(m_rts[SunState.SUN_TRANSIT]);
}
function rts_alpha_delta_prime(ad, n) {
var a = ad[JDSign.JD_ZERO] - ad[JDSign.JD_MINUS];
var b = ad[JDSign.JD_PLUS] - ad[JDSign.JD_ZERO];
if (Math.abs(a) >= 2.0)
a = limit_zero2one(a);
if (Math.abs(b) >= 2.0)
b = limit_zero2one(b);
return ad[JDSign.JD_ZERO] + n * (a + b + (b - a) * n) / 2.0;
}
function limit_degrees180pm(degrees) {
var limited;
degrees /= 360.0;
limited = 360.0 * (degrees - Math.floor(degrees));
if (limited < -180.0)
limited += 360.0;
else if (limited > 180.0)
limited -= 360.0;
return limited;
}
function limit_degrees180(degrees) {
var limited;
degrees /= 180.0;
limited = 180.0 * (degrees - Math.floor(degrees));
if (limited < 0)
limited += 180.0;
return limited;
}
function rts_sun_altitude(latitude, delta_prime, h_prime) {
var latitude_rad = deg2rad(latitude);
var delta_prime_rad = deg2rad(delta_prime);
return rad2deg(Math.asin(Math.sin(latitude_rad) * Math.sin(delta_prime_rad) +
Math.cos(latitude_rad) * Math.cos(delta_prime_rad) * Math.cos(deg2rad(h_prime))));
}
function sun_rise_and_set(m_rts, h_rts, delta_prime, latitude, h_prime, h0_prime, sun) {
return m_rts[sun] + (h_rts[sun] - h0_prime) /
(360.0 * Math.cos(deg2rad(delta_prime[sun])) * Math.cos(deg2rad(latitude)) * Math.sin(deg2rad(h_prime[sun])));
}
function dayfrac_to_local_hr(dayfrac, timezone) {
return 24.0 * limit_zero2one(dayfrac + timezone / 24.0);
}
////////////////////////////////////////////////////////////////////////
// Calculate Equation of Time (EOT) and Sun Rise, Transit, & Set (RTS)
////////////////////////////////////////////////////////////////////////
function calculate_eot_and_sun_rise_transit_set(spa) {
var nu = 0;
var m = 0;
var h0 = 0;
var n = 0;
var alpha = [];
var delta = [];
var m_rts = [];
var nu_rts = [];
var h_rts = [];
var alpha_prime = [];
var delta_prime = [];
var h_prime = [];
var h0_prime = -1 * (SUN_RADIUS + spa.atmos_refract);
var sun_rts = copySPA(spa);
sun_rts.hour = sun_rts.minute = sun_rts.second = 0;
sun_rts.delta_ut1 = sun_rts.timezone = 0.0;
sun_rts.jd = julian_day(sun_rts.year, sun_rts.month, sun_rts.day, sun_rts.hour, sun_rts.minute, sun_rts.second, sun_rts.delta_ut1, sun_rts.timezone);
m = sun_mean_longitude(spa.jme);
spa.eot = eot(m, spa.alpha, spa.del_psi, spa.epsilon);
calculate_geocentric_sun_right_ascension_and_declination(sun_rts);
nu = sun_rts.nu;
sun_rts.delta_t = 0;
sun_rts.jd--;
for (var i = 0; i < JDSign.JD_COUNT; i++) {
calculate_geocentric_sun_right_ascension_and_declination(sun_rts);
alpha[i] = sun_rts.alpha;
delta[i] = sun_rts.delta;
sun_rts.jd++;
}
m_rts[SunState.SUN_TRANSIT] = approx_sun_transit_time(alpha[JDSign.JD_ZERO], spa.longitude, nu);
h0 = sun_hour_angle_at_rise_set(spa.latitude, delta[JDSign.JD_ZERO], h0_prime);
if (h0 >= 0) {
approx_sun_rise_and_set(m_rts, h0);
for (var i = 0; i < SunState.SUN_COUNT; i++) {
nu_rts[i] = nu + 360.985647 * m_rts[i];
n = m_rts[i] + spa.delta_t / 86400.0;
alpha_prime[i] = rts_alpha_delta_prime(alpha, n);
delta_prime[i] = rts_alpha_delta_prime(delta, n);
h_prime[i] = limit_degrees180pm(nu_rts[i] + spa.longitude - alpha_prime[i]);
h_rts[i] = rts_sun_altitude(spa.latitude, delta_prime[i], h_prime[i]);
}
spa.srha = h_prime[SunState.SUN_RISE];
spa.ssha = h_prime[SunState.SUN_SET];
spa.sta = h_rts[SunState.SUN_TRANSIT];
spa.suntransit = dayfrac_to_local_hr(m_rts[SunState.SUN_TRANSIT] - h_prime[SunState.SUN_TRANSIT] / 360.0, spa.timezone);
spa.sunrise = dayfrac_to_local_hr(sun_rise_and_set(m_rts, h_rts, delta_prime, spa.latitude, h_prime, h0_prime, SunState.SUN_RISE), spa.timezone);
spa.sunset = dayfrac_to_local_hr(sun_rise_and_set(m_rts, h_rts, delta_prime, spa.latitude, h_prime, h0_prime, SunState.SUN_SET), spa.timezone);
}
else
spa.srha = spa.ssha = spa.sta = spa.suntransit = spa.sunrise = spa.sunset = -99999;
}
////////////////////////////////////////////////////////////////////////////////////////////////
// Calculate required SPA parameters to get the right ascension (alpha) and declination (delta)
// Note: JD must be already calculated and in structure
////////////////////////////////////////////////////////////////////////////////////////////////
function calculate_geocentric_sun_right_ascension_and_declination(spa) {
spa.jc = julian_century(spa.jd);
spa.jde = julian_ephemeris_day(spa.jd, spa.delta_t);
spa.jce = julian_ephemeris_century(spa.jde);
spa.jme = julian_ephemeris_millennium(spa.jce);
spa.l = earth_heliocentric_longitude(spa.jme);
spa.b = earth_heliocentric_latitude(spa.jme);
spa.r = earth_radius_vector(spa.jme);
spa.theta = geocentric_longitude(spa.l);
spa.beta = geocentric_latitude(spa.b);
var x = [];
x[TermsX.TERM_X0] = spa.x0 = mean_elongation_moon_sun(spa.jce);
x[TermsX.TERM_X1] = spa.x1 = mean_anomaly_sun(spa.jce);
x[TermsX.TERM_X2] = spa.x2 = mean_anomaly_moon(spa.jce);
x[TermsX.TERM_X3] = spa.x3 = argument_latitude_moon(spa.jce);
x[TermsX.TERM_X4] = spa.x4 = ascending_longitude_moon(spa.jce);
nutation_longitude_and_obliquity(spa.jce, x, spa);
spa.epsilon0 = ecliptic_mean_obliquity(spa.jme);
spa.epsilon = ecliptic_true_obliquity(spa.del_epsilon, spa.epsilon0);
spa.del_tau = aberration_correction(spa.r);
spa.lamda = apparent_sun_longitude(spa.theta, spa.del_psi, spa.del_tau);
spa.nu0 = greenwich_mean_sidereal_time(spa.jd, spa.jc);
spa.nu = greenwich_sidereal_time(spa.nu0, spa.del_psi, spa.epsilon);
spa.alpha = geocentric_right_ascension(spa.lamda, spa.epsilon, spa.beta);
spa.delta = geocentric_declination(spa.beta, spa.epsilon, spa.lamda);
}
//Calculate SPA output values (in structure) based on input values passed in structure
function spa_calculate(spa) {
var result = validate_inputs(spa);
if (result == 0) {
spa.jd = julian_day(spa.year, spa.month, spa.day, spa.hour, spa.minute, spa.second, spa.delta_ut1, spa.timezone);
calculate_geocentric_sun_right_ascension_and_declination(spa);
spa.h = observer_hour_angle(spa.nu, spa.longitude, spa.alpha);
spa.xi = sun_equatorial_horizontal_parallax(spa.r);
var dltap = { delta_alpha: spa.del_alpha, delta_prime: spa.delta_prime };
right_ascension_parallax_and_topocentric_dec(spa.latitude, spa.elevation, spa.xi, spa.h, spa.delta, dltap);
spa.del_alpha = dltap.delta_alpha;
spa.delta_prime = dltap.delta_prime;
spa.alpha_prime = topocentric_right_ascension(spa.alpha, spa.del_alpha);
spa.h_prime = topocentric_local_hour_angle(spa.h, spa.del_alpha);
spa.e0 = topocentric_elevation_angle(spa.latitude, spa.delta_prime, spa.h_prime);
spa.del_e = atmospheric_refraction_correction(spa.pressure, spa.temperature, spa.atmos_refract, spa.e0);
spa.e = topocentric_elevation_angle_corrected(spa.e0, spa.del_e);
spa.zenith = topocentric_zenith_angle(spa.e);
spa.azimuth_astro = topocentric_azimuth_angle_astro(spa.h_prime, spa.latitude, spa.delta_prime);
spa.azimuth = topocentric_azimuth_angle(spa.azimuth_astro);
if ((spa.function == exports.SPA_ZA_INC) || (spa.function == exports.SPA_ALL))
spa.incidence = surface_incidence_angle(spa.zenith, spa.azimuth_astro, spa.azm_rotation, spa.slope);
if ((spa.function == exports.SPA_ZA_RTS) || (spa.function == exports.SPA_ALL))
calculate_eot_and_sun_rise_transit_set(spa);
}
return result;
}
exports.spa_calculate = spa_calculate;
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