点质量模型计算弹道扰动引力的快速替代算法

Substitute Algorithm of Fast Computing of Trajectory Disturbing Gravity with Point-Mass Model

利用点质量模型计算弹道扰动引力可以使扰动引力的计算模式具有较为简单的结构,但它本身也存在计算复杂、计算量大的缺点,很难适应实时快速计算的需要。通过分析各频段空间扰动引力矢量随高度变化的特性,从数值逼近理论的角度出发,提出了利用多项式分段拟合的方法替代点质量模型计算空间弹道扰动引力矢量。计算结果表明,所建立的拟合函数模型结构形式简单、计算速度快,单点平均计算速度提升2个数量级,能够满足弹道扰动引力实时、快速计算的需要。

Although the point-mass model method has the simple computing structure, it has a great working load which is not fit for real time computation. After the analysis of each frequency space disturbing gravity vector results computed with point-mass model, building the subsection polynomial function fitting model to substitute point-mass model to compute trajectory disturbing gravity, The results show that the subsection polynomial function model＇ s form is simple. And this method is favorable to fast computing the space disturbing gravity, can upgrade the average computing speed 2 levels.