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@manteopel(Mante Opel)

一般摂動法と特別摂動法

Posted at
  • 摂動源
    • 地球重力ポテンシャル
    • 太陽、月の引力
    • 大気抵抗
    • 太陽輻射圧
  • 一般摂動法
    • 衛星の運動を解析的に解く
    • 粗い
    • 摂動を時間関数に展開
  • 特別摂動法
    • 各時間ステップで運動方程式に摂動力を代入、数値的に時間積分
    • 高精度

特別摂動法

数値積分により求める。

\frac{d^2 \boldsymbol{r}}{dt^2} = - \frac{GM}{r^3}\boldsymbol{r}+\boldsymbol{a}_1+\boldsymbol{a}_2\cdots
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