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倾角函数的一个递推公式

杨维廉   

  1. 北京空间飞行器总体设计部
  • 发布日期:1991-02-25

RECURRENT FORMULAS FOR CALCULATING INCLINATION FUNCTION

Yang Weilian (Beijing Institute of Spacecraft System Engineering)   

  • Published:1991-02-25

摘要: 在分析计算地球引力场球谐调和项引起的轨道摄动时,需用到倾角函数Ftmp(i)。如果直接应用其分析表达式,则计算量非常大。文中导出一组递推公式,利用这些递推公式可以大大简化计算,极大地减少计算时间。

关键词: 计算方法, 轨道摄动, 卫星轨道

Abstract: It is necessary to use the inclination function F_(imp)(i)when calcu- lating the orbit perturbation caused by spherical harmonics of the geopotential field.If one calculates the values of the functions directly using its analytical expression,enormous computating effort will be paid.In this note a set of recur- rent formulas is derived.By using these formulas one can simplify the calculation and save computation time greatly,