File: vsop87earthd.go

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/*
 * Copyright (C) 2014 ~ 2018 Deepin Technology Co., Ltd.
 *
 * Author:     jouyouyun <jouyouwen717@gmail.com>
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 */

package lunar

import (
	"math"

	"github.com/linuxdeepin/go-lib/calendar/util"
)

/**
 * 按儒略日计算地球的日心黄经
 *
 * 参数: jd 儒略日
 * 返回 地球的日心黄经,单位是弧度(rad)
 */

func GetSunEclipticLongitudeForEarth(jd float64) float64 {
	t := util.GetJulianThousandYears(jd)
	L0 := GetEarthL0(t)
	L1 := GetEarthL1(t)
	L2 := GetEarthL2(t)
	L3 := GetEarthL3(t)
	L4 := GetEarthL4(t)
	L5 := GetEarthL5(t)
	L := ((((L5*t+L4)*t+L3)*t+L2)*t+L1)*t + L0
	return Mod2Pi(L)
}

/**
 * 按儒略日计算地球的日心黄纬
 *
 * 参数 jd  儒略日
 * 返回 地球的日心黄纬,单位是弧度(rad)
 */

func GetSunEclipticLatitudeForEarth(jd float64) float64 {
	t := util.GetJulianThousandYears(jd)
	B0 := GetEarthB0(t)
	B1 := GetEarthB1(t)
	B2 := GetEarthB2(t)
	B3 := GetEarthB3(t)
	B4 := GetEarthB4(t)
	B := ((((B4*t)+B3)*t+B2)*t+B1)*t + B0
	return B
}

/**
 * 按照儒略日计算地球和太阳的距离
 *
 * 参数 jd  儒略日
 * 返回 地球和太阳的距离,单位是天文单位(au)
 */
func GetSunRadiusForEarth(jd float64) float64 {
	t := util.GetJulianThousandYears(jd)
	R0 := GetEarthR0(t)
	R1 := GetEarthR1(t)
	R2 := GetEarthR2(t)
	R3 := GetEarthR3(t)
	R4 := GetEarthR4(t)
	R5 := GetEarthR5(t)
	R := ((((R5*t+R4)*t+R3)*t+R2)*t+R1)*t + R0
	return R
}

/**
 * 用于把vsop87理论算出来的经度转换成fk5目视系统的经度的修正值,参考 Jean Meeus 的 Astronomical
 * Algorithms 第二版(1998)第32章219页(32.3)式
 *
 * 参数 l
 *            vsop87经度(rad)
 * 参数 b
 *            vsop87纬度(rad)
 * 参数 jd
 *            儒略日
 * 返回 修正量(rad)
 */
func Vsop2Fk5LongitudeCorrection(l float64, b float64, jd float64) float64 {
	t := util.GetJulianCentury(jd)
	lp := l - ToRadians(1.397)*t - ToRadians(0.00031)*t*t
	return SecondsToRadians(-0.09033 + 0.03916*(math.Cos(lp)+math.Sin(lp))*math.Tan(b))
}

/**
 * 计算修正后的太阳的地心视黄经
 *
 * 参数 jd
 *            儒略日
 * 返回 修正后的地心黄经(rad)
 */
// 常量
var lightAberration = SecondsToRadians(20.4898)

func GetEarthEclipticLongitudeForSun(jd float64) float64 {
	// 计算地球的日心黄经
	l := GetSunEclipticLongitudeForEarth(jd)

	// 计算地球的日心黄纬
	b := GetSunEclipticLatitudeForEarth(jd)

	// 修正章动
	l += CalcEarthLongitudeNutation(util.GetJulianCentury(jd))

	// 转换到fk5
	l += Vsop2Fk5LongitudeCorrection(l, b, jd)

	// 转换成太阳的地心黄经
	l = Mod2Pi(l + math.Pi)

	// 计算光行差
	// 计算日地距离
	r := GetSunRadiusForEarth(jd)
	// 太阳到地球的光行差参数
	l -= lightAberration / r
	return l
}