扰动引力求解的改进球谐函数法  

An Improved Method Based on the Spherical Harmonic Model for Solution of the Disturbing Gravitation Problem

作　　者：胥尚博[1] 关正西[1] 

机构地区：[1]第二炮兵工程学院,西安710025

出　　处：《弹箭与制导学报》2006年第3期207-210,共4页Journal of Projectiles,Rockets,Missiles and Guidance

摘　　要：传统的球谐函数法求解扰动引力需要进行勒让德函数的递推计算,随着模型阶数的增加,函数的计算速度就会明显下降。文中运用了一种改进的球谐函数法,即换极法,大大简化了勒让德函数的递推计算,并进行了换极前后被动段扰动引力的仿真计算。仿真结果表明换极后的球谐函数计算扰动引力能够满足精度要求,且在计算中弹道方程的解算速度也有很大的提高。Since the iterative calculation of the traditional spherical harmonic model for solution of the disturbing gravitation problem cannot be avoided, an increase in orders of model will result on a decrease in the speed of calculation. In this paper the improved method, also named transformation of the polar, is used to predigest the iterative calculation, and the simulation calculation has been progressed. The result of simulation indicates that this method not only satisfies the precision but also enables us to enhance the calculation speed of the trajectory equations.

关 键 词：扰动引力 落点偏差 球谐函数 换极法 

分 类 号：TJ012.3[兵器科学与技术—兵器发射理论与技术]