行星运动星历表计算

上一篇 / 下一篇 2006-03-24 10:33:47 / 天气: UnKnow

行星运动星历表计算

已知行星的轨道根数就可以求出任一时刻行星在天球上的位置，这叫做‘星历表计算”。下面是星历表计算

(1) 求行星在轨道上的极坐标（r 、f )

以太阳为原点，黄道面为基本平面建立黄道直角坐标系，X 轴指向春分点，X Y 平面与黄道面重合．Z轴垂直于黄道面指向北黄极。设r 为某时刻t 行星与太阳的向径．f 为t时刻天体与近日点的角距。

A 计算平均角速度n

a轨道半长径.M,m太阳,行星的质量

B 计算平近点角M

M=nt-M0

M0是轨道根数

C 计算偏近点角E

E-esinE=M

D 计算r f

r=a(1-ecosE)

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