Function fnasind(x)
fnasind = radeg * Atn(x/Sqr(1-x*x))
End Function
'工具函数:角度反余弦
Function fnacosd(x)
fnacosd = 90 - fnasind(x)
End Function
'工具函数:角度反正切
Function fnatand(x)
fnatand = radeg * Atn(x)
End Function
'工具函数:角度反正切任意象限
Function fnatan2d(y,x)
If x = 0 Then
fnatan2d = 90
End If
If x < 0 Then
fnatan2d = radeg * Atn(y/x) - 180
End If
If x >0 Then
fnatan2d = radeg * Atn(y/x)
End If
End Function
'工具函数:弧度反正切任意象限
Function fnatan2(y,x)
If x = 0 Then
fnatan2 = pi/2
End If
If x<0 Then
fnatan2 = Atn(y/x) - pi
End If
If x>0 Then
fnatan2 = Atn(y/x)
End If
End Function
'工具函数:立方根
Function Cbrt(x)
If x > 0.0 Then
Cbrt = Exp(Log(x)/3)
Else
If x < 0.0 Then
Cbrt = -Cbrt(-x)
Else
Return 0.0
End If
End If
把它存成*.vbs运行
'定义常数圆周率π
Const pi = 3.14159265359
'定义弧度与角度的转换比例
Const radeg = 57.29577951307
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
'工具函数:把任意角度化为0-360度范围内的角度
Function in360(bigdeg)
While bigdeg < -3600
bigdeg = bigdeg + 3600
Wend
While bigdeg >3600
bigdeg = bigdeg - 3600
Wend
While bigdeg < 0
bigdeg = bigdeg + 360
Wend
While bigdeg >=360
bigdeg = bigdeg - 360
Wend
in360 = bigdeg
End Function
'工具函数:角度转弧度
Function toRad(deg)
toRad = deg / radeg
End Function
'工具函数:弧度转角度
Function toDeg(rad)
toDeg = rad * radeg
End Function
'工具函数:角度三角函数Sin
Function fnsind(x)
fnsind = Sin(x/radeg)
End Function
'工具函数:角度三角函数Cos
Function fncosd(x)
fncosd = Cos(x/radeg)
End Function
'工具函数:角度三角函数Tan
Function fntand(x)
fntand = Tan(x/radeg)
End Function
'工具函数:角度反正弦
Function fnasind(x)
fnasind = radeg * Atn(x/Sqr(1-x*x))
End Function
'工具函数:角度反余弦
Function fnacosd(x)
fnacosd = 90 - fnasind(x)
End Function
'工具函数:角度反正切
Function fnatand(x)
fnatand = radeg * Atn(x)
End Function
'工具函数:角度反正切任意象限
Function fnatan2d(y,x)
If x = 0 Then
fnatan2d = 90
End If
If x < 0 Then
fnatan2d = radeg * Atn(y/x) - 180
End If
If x >0 Then
fnatan2d = radeg * Atn(y/x)
End If
End Function
'工具函数:弧度反正切任意象限
Function fnatan2(y,x)
If x = 0 Then
fnatan2 = pi/2
End If
If x<0 Then
fnatan2 = Atn(y/x) - pi
End If
If x>0 Then
fnatan2 = Atn(y/x)
End If
End Function
'工具函数:立方根
Function Cbrt(x)
If x > 0.0 Then
Cbrt = Exp(Log(x)/3)
Else
If x < 0.0 Then
Cbrt = -Cbrt(-x)
Else
Return 0.0
End If
End If
End Function
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
'把赤经化成小时、分、秒的常用形式
Function printRA(RA)
RA = in360(RA)
cHour = RA15
cMinute = Int((RA - cHour*15)/0.25)
cSecond = Round((RA - cHour*15 - cMinute*0.25)/(0.25/60),1)
printRA = cHour&"h"&cMinute&"m"&cSecond&"s"
End Function
'把赤纬化成度、分、秒的区分南北纬的常用形式
Function printDecl(Decl)
If Decl >= 360 Or Decl < 0 Then
Decl = in360(Decl)
End If
If Decl >90 And Decl < 270 Then
Decl = 180 - Decl
End If
If Decl >=270 And Decl < 360 Then
Decl = Decl - 360
End If
If Decl < 0 Then
flag = "-"
Else
flag = "+"
End If
Decl = Abs(Decl)
arcDeg = Int(Decl)
arcMin = Int((Decl - arcDeg)*60)
arcSec = Round((Decl - arcDeg - arcMin/60)*3600,0)
printDecl = flag&arcDeg&"°"&arcMin&"'"&arcSec&Chr(34)
End Function
''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
'计算一个给定的世界时日期与UT2000.0的差值
Function dayFrom2000(theYear,theMonth,theDate)
dayFrom2000 = 367*theYear-7*(theYear+(theMonth+9)12)4 + (275*theMonth)9 + theDate - 730530
End Function
'从赤经赤纬距离计算赤道平面直角坐标
Function EquatRectCoord(RA,Decl,dist)
xequat = dist * Cos(RA) * Cos(Decl)
yequat = dist * Sin(RA) * Cos(Decl)
zequat = dist * Sin(Decl)
EquatRectCoord = Array(xequat,yequat,zequat)
End Function
'从赤道平面直角坐标来计算赤道球面坐标
Function EquatSpherCoord(xequat,yequat,zequat)
r = Sqr(xequat*xequat + yequat*yequat + zequat*zequat)
RA = toDeg(fnatan2(yequat,xequat))'天球赤道经度
Decl = toDeg(fnatan2(zequat,Sqr(xequat*xequat+yequat*yequat)))'天球赤道纬度
EquatSpherCoord = Array(r,RA,Decl)
End Function
'球面赤道坐标换算为对于某地的地平坐标
'RA:赤经,Decl:赤纬,SiderealT:恒星时,geoLat:地理纬度,geoLon:地理经度,ASL:海拔高度
Function HorizonalCoord(RA,Decl,SiderealT,geoLat,geoLon,ASL)
'@todo Not completed, wait to implement
End Function
Sub Main
Call SunPosition
End Sub
Sub SunPosition '计算太阳的位置
Dim today
today = CDate(now)
todayYear = DatePart("yyyy",today)
todayMonth = DatePart("m",today)
todayDate = DatePart("d",today)
d = dayFrom2000(todayYear,todayMonth,todayDate)'距历元的间隔
w = 282.9409 + 4.70935E-5 * d '地球的近日点日心黄经。
a = 1.0000000 '地球与太阳的平均距离,单位为天文单位au
eqe = 0.016709 - 1.151E-9 * d '地球公转轨道偏心率
M = 356.0470 + 0.9856002585 * d '太阳平均运动
oblecl = 23.4393 - 3.563E-7 * d '地球的黄赤交角
L = w + M '太阳的平均黄道经度
'解开普勒方程,求偏近点角
E = M + radeg * eqe * fnsind(M) * (1 + eqe * fncosd(M))
E = M + radeg * eqe * fnsind(E)
'黄道平面近日点直角坐标
x = fncosd(E) - eqe
y = fnsind(E) * Sqr(1 - eqe*eqe)
'地日距离
r = Sqr(x*x + y*y)
'近日点角距
v = fnatan2d(y,x)
lon = v + w'太阳的黄道经度
lon = in360(lon)'将黄道经度化归到360度角以内
xecliptic = r * fncosd(lon)'将太阳黄道经度化为黄道直角坐标
yecliptic = r * fnsind(lon)
zecliptic = 0.0
xequat = xecliptic'将黄道直角坐标旋转到赤道直角坐标
yequat = yecliptic * fncosd(oblecl) - zecliptic*fnsind(oblecl)
zequat = yecliptic*fnsind(oblecl) + zecliptic*fncosd(oblecl)
spher_Sun = EquatSpherCoord(xequat,yequat,zequat)'通过赤道直角坐标计算太阳球面坐标
MsgBox("the Day "&todayYear&"-"&todayMonth&"-"&todayDate&"'s lon is" & lon)
MsgBox("r="&r&";RA="&printRA(spher_Sun(1))&";Decl="&printDecl(spher_Sun(2)))
End Sub
Call Main
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