直接推导摄动运动方程的一种方法  

A Method for Deriving the Perturbation Equation

作　　者：冯和生[1] 李语强[1] 

机构地区：[1]中国科学院国家天文台/云南天文台,昆明650011

出　　处：《天文学报》2007年第1期54-59,共6页Acta Astronomica Sinica

基　　金：云南省自然科学基金(2002A0017R)资助

摘　　要：提出一种直接推导摄动运动方程的方法,也就是以矢量的微分运算为工具直接推导二体问题意义下的瞬时椭圆如何在摄动力三分力的作用下轨道根数发生的变化,推导过程几何图像清晰,力学意义明确．特别是对ω、M两根数的推导,比传统的方法更简洁、直观．A method for deriving instantaneous ellipse orbital perturbation equation of motion is given. It is based on the idea of vector differentiation. Under the frame of two-body problems, the variation of orbital elements that is perturbed by disturbing force is derived directly. Therefore, no matter from the mathematics or mechanics, the method of deriving seems to be clearer. Especially, the derivation of the two orbital elements ω,M are more straightforward than the traditional method.

关 键 词：天体力学 摄动力 轨道根数 摄动方程 

分 类 号：P133[天文地球—天体力学]