341 lines
7.3 KiB
JavaScript
341 lines
7.3 KiB
JavaScript
'use strict';
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Object.defineProperty(exports, '__esModule', { value: true });
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var base = require('./base.cjs');
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/**
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* @copyright 2013 Sonia Keys
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* @copyright 2016 commenthol
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* @license MIT
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* @module moonmaxdec
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*/
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/**
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* North computes the maximum northern declination of the Moon near a given date.
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*
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* Argument year is a decimal year specifying a date near the event.
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*
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* Returned is the jde of the event nearest the given date and the declination
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* of the Moon at that time.
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*/
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function north (y) { // (y float64) (jde, δ float64)
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return max(y, nc)
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}
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/**
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* South computes the maximum southern declination of the Moon near a given date.
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*
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* Argument year is a decimal year specifying a date near the event.
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*
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* Returned is the jde of the event nearest the given date and the declination
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* of the Moon at that time.
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*/
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function south (y) { // (y float64) (jde, δ float64)
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return max(y, sc)
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}
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const p = Math.PI / 180;
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const ck = 1 / 1336.86;
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/**
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* @private
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*/
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function max (y, c) { // (y float64, c *mc) (jde, δ float64)
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let k = (y - 2000.03) * 13.3686; // (52.1) p. 367
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k = Math.floor(k + 0.5);
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const T = k * ck;
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const D = base["default"].horner(T, c.D, 333.0705546 * p / ck, -0.0004214 * p, 0.00000011 * p);
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const m = base["default"].horner(T, c.m, 26.9281592 * p / ck, -0.0000355 * p, -0.0000001 * p);
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const m_ = base["default"].horner(T, c.m_, 356.9562794 * p / ck, 0.0103066 * p, 0.00001251 * p);
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const f = base["default"].horner(T, c.f, 1.4467807 * p / ck, -0.002069 * p, -0.00000215 * p);
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const E = base["default"].horner(T, 1, -0.002516, -0.0000074);
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const jde = base["default"].horner(T, c.JDE, 27.321582247 / ck, 0.000119804, -0.000000141) +
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c.tc[0] * Math.cos(f) +
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c.tc[1] * Math.sin(m_) +
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c.tc[2] * Math.sin(2 * f) +
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c.tc[3] * Math.sin(2 * D - m_) +
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c.tc[4] * Math.cos(m_ - f) +
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c.tc[5] * Math.cos(m_ + f) +
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c.tc[6] * Math.sin(2 * D) +
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c.tc[7] * Math.sin(m) * E +
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c.tc[8] * Math.cos(3 * f) +
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c.tc[9] * Math.sin(m_ + 2 * f) +
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c.tc[10] * Math.cos(2 * D - f) +
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c.tc[11] * Math.cos(2 * D - m_ - f) +
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c.tc[12] * Math.cos(2 * D - m_ + f) +
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c.tc[13] * Math.cos(2 * D + f) +
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c.tc[14] * Math.sin(2 * m_) +
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c.tc[15] * Math.sin(m_ - 2 * f) +
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c.tc[16] * Math.cos(2 * m_ - f) +
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c.tc[17] * Math.sin(m_ + 3 * f) +
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c.tc[18] * Math.sin(2 * D - m - m_) * E +
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c.tc[19] * Math.cos(m_ - 2 * f) +
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c.tc[20] * Math.sin(2 * (D - m_)) +
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c.tc[21] * Math.sin(f) +
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c.tc[22] * Math.sin(2 * D + m_) +
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c.tc[23] * Math.cos(m_ + 2 * f) +
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c.tc[24] * Math.sin(2 * D - m) * E +
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c.tc[25] * Math.sin(m_ + f) +
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c.tc[26] * Math.sin(m - m_) * E +
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c.tc[27] * Math.sin(m_ - 3 * f) +
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c.tc[28] * Math.sin(2 * m_ + f) +
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c.tc[29] * Math.cos(2 * (D - m_) - f) +
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c.tc[30] * Math.sin(3 * f) +
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c.tc[31] * Math.cos(m_ + 3 * f) +
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c.tc[32] * Math.cos(2 * m_) +
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c.tc[33] * Math.cos(2 * D - m_) +
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c.tc[34] * Math.cos(2 * D + m_ + f) +
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c.tc[35] * Math.cos(m_) +
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c.tc[36] * Math.sin(3 * m_ + f) +
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c.tc[37] * Math.sin(2 * D - m_ + f) +
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c.tc[38] * Math.cos(2 * (D - m_)) +
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c.tc[39] * Math.cos(D + f) +
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c.tc[40] * Math.sin(m + m_) * E +
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c.tc[41] * Math.sin(2 * (D - f)) +
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c.tc[42] * Math.cos(2 * m_ + f) +
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c.tc[43] * Math.cos(3 * m_ + f);
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const δ = 23.6961 * p - 0.013004 * p * T +
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c.dc[0] * Math.sin(f) +
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c.dc[1] * Math.cos(2 * f) +
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c.dc[2] * Math.sin(2 * D - f) +
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c.dc[3] * Math.sin(3 * f) +
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c.dc[4] * Math.cos(2 * (D - f)) +
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c.dc[5] * Math.cos(2 * D) +
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c.dc[6] * Math.sin(m_ - f) +
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c.dc[7] * Math.sin(m_ + 2 * f) +
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c.dc[8] * Math.cos(f) +
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c.dc[9] * Math.sin(2 * D + m - f) * E +
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c.dc[10] * Math.sin(m_ + 3 * f) +
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c.dc[11] * Math.sin(D + f) +
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c.dc[12] * Math.sin(m_ - 2 * f) +
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c.dc[13] * Math.sin(2 * D - m - f) * E +
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c.dc[14] * Math.sin(2 * D - m_ - f) +
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c.dc[15] * Math.cos(m_ + f) +
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c.dc[16] * Math.cos(m_ + 2 * f) +
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c.dc[17] * Math.cos(2 * m_ + f) +
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c.dc[18] * Math.cos(m_ - 3 * f) +
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c.dc[19] * Math.cos(2 * m_ - f) +
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c.dc[20] * Math.cos(m_ - 2 * f) +
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c.dc[21] * Math.sin(2 * m_) +
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c.dc[22] * Math.sin(3 * m_ + f) +
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c.dc[23] * Math.cos(2 * D + m - f) * E +
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c.dc[24] * Math.cos(m_ - f) +
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c.dc[25] * Math.cos(3 * f) +
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c.dc[26] * Math.sin(2 * D + f) +
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c.dc[27] * Math.cos(m_ + 3 * f) +
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c.dc[28] * Math.cos(D + f) +
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c.dc[29] * Math.sin(2 * m_ - f) +
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c.dc[30] * Math.cos(3 * m_ + f) +
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c.dc[31] * Math.cos(2 * (D + m_) + f) +
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c.dc[32] * Math.sin(2 * (D - m_) - f) +
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c.dc[33] * Math.cos(2 * m_) +
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c.dc[34] * Math.cos(m_) +
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c.dc[35] * Math.sin(2 * f) +
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c.dc[36] * Math.sin(m_ + f);
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return { jde, dec: c.s * δ }
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}
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/**
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* north coefficients
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*/
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const nc = {
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D: 152.2029 * p,
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m: 14.8591 * p,
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m_: 4.6881 * p,
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f: 325.8867 * p,
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JDE: 2451562.5897,
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s: 1,
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tc: [
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0.8975,
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-0.4726,
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-0.1030,
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-0.0976,
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-0.0462,
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-0.0461,
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-0.0438,
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0.0162,
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-0.0157,
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0.0145,
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0.0136,
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-0.0095,
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-0.0091,
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-0.0089,
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0.0075,
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-0.0068,
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0.0061,
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-0.0047,
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-0.0043,
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-0.004,
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-0.0037,
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0.0031,
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0.0030,
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-0.0029,
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-0.0029,
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-0.0027,
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0.0024,
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-0.0021,
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0.0019,
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0.0018,
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0.0018,
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0.0017,
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0.0017,
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-0.0014,
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0.0013,
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0.0013,
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0.0012,
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0.0011,
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-0.0011,
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0.001,
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0.001,
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-0.0009,
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0.0007,
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-0.0007
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],
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dc: [
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5.1093 * p,
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0.2658 * p,
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0.1448 * p,
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-0.0322 * p,
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0.0133 * p,
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0.0125 * p,
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-0.0124 * p,
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-0.0101 * p,
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0.0097 * p,
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-0.0087 * p,
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0.0074 * p,
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0.0067 * p,
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0.0063 * p,
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0.0060 * p,
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-0.0057 * p,
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-0.0056 * p,
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0.0052 * p,
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0.0041 * p,
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-0.004 * p,
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0.0038 * p,
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-0.0034 * p,
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-0.0029 * p,
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0.0029 * p,
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-0.0028 * p,
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-0.0028 * p,
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-0.0023 * p,
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-0.0021 * p,
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0.0019 * p,
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0.0018 * p,
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0.0017 * p,
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0.0015 * p,
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0.0014 * p,
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-0.0012 * p,
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-0.0012 * p,
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-0.001 * p,
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-0.001 * p,
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0.0006 * p
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]
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};
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/**
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* south coefficients
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*/
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const sc = {
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D: 345.6676 * p,
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m: 1.3951 * p,
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m_: 186.21 * p,
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f: 145.1633 * p,
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JDE: 2451548.9289,
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s: -1,
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tc: [
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-0.8975,
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-0.4726,
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-0.1030,
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-0.0976,
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0.0541,
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0.0516,
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-0.0438,
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0.0112,
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0.0157,
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0.0023,
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-0.0136,
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0.011,
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0.0091,
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0.0089,
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0.0075,
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-0.003,
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-0.0061,
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-0.0047,
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-0.0043,
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0.004,
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-0.0037,
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-0.0031,
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0.0030,
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0.0029,
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-0.0029,
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-0.0027,
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0.0024,
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-0.0021,
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-0.0019,
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-0.0006,
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-0.0018,
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-0.0017,
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0.0017,
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0.0014,
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-0.0013,
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-0.0013,
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0.0012,
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0.0011,
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0.0011,
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0.001,
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0.001,
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-0.0009,
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-0.0007,
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-0.0007
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],
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dc: [
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-5.1093 * p,
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0.2658 * p,
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-0.1448 * p,
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0.0322 * p,
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0.0133 * p,
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0.0125 * p,
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-0.0015 * p,
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0.0101 * p,
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-0.0097 * p,
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0.0087 * p,
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0.0074 * p,
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0.0067 * p,
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-0.0063 * p,
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-0.0060 * p,
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0.0057 * p,
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-0.0056 * p,
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-0.0052 * p,
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-0.0041 * p,
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-0.004 * p,
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-0.0038 * p,
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0.0034 * p,
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-0.0029 * p,
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0.0029 * p,
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0.0028 * p,
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-0.0028 * p,
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0.0023 * p,
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0.0021 * p,
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0.0019 * p,
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0.0018 * p,
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-0.0017 * p,
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0.0015 * p,
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0.0014 * p,
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0.0012 * p,
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-0.0012 * p,
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0.001 * p,
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-0.001 * p,
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0.0037 * p
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]
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};
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var moonmaxdec = {
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north,
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south
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};
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exports["default"] = moonmaxdec;
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exports.north = north;
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exports.south = south;
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