第三体摄动分析解的一种表达式  

AN EXPRESSION OF THE THIRD BODY PERTURBATION ANALYTIC SOLUTIONS

作　　者：季江徽[1] 刘林[1] 张伟[1] 

机构地区：[1]南京大学天文系,南京210093

出　　处：《天文学报》2000年第1期79-92,共14页Acta Astronomica Sinica

基　　金：国家自然科学基金;紫金山天文台小行星基金会资助

摘　　要：在太阳系中,大行星、小行星和卫星( 包括自然卫星和人造卫星) 等对应的运动问题,都可以处理成受摄二体问题,而摄动源又多为第三体.作为第三体的摄动天体,有的比运动天体离中心天体近,有的则相反,前者称为内摄天体,后者则称为外摄天体.对一个具体的运动天体,可以同时出现这两类摄动天体.但是,只要运动天体与摄动天体的轨道都建立在以中心天体( 质心) 为坐标原点的同一坐标系内,那么在一定条件下( 即除运动天体与摄动天体的轨道有交叉情况外) ,可以构造一种第三体摄动分析解的统一表达式,这种表达式特别有利于了解小行星和自然卫星的运动状况,既可以体现运动天体轨道变化的特征,也便于对共振问题( 包括平运动意义下的轨道共振和慢变量对应的长期共振) 的分析和讨论.在此给出这种表达式的具体形式.In the solar system, it is reasonable to regard the motion problems of the major planets, minor planets and satellites (including natural and artificial ones) as the perturbed two body problems, and the perturbing sources are mainly the third body. As the third body, some perturbing bodies are nearer to the central body than the moving one, others are on the contrary, so the former are called the inner perturbing bodies and the latter the outer perturbing bodies. As far as a specific moving body is concerned, the above two kinds of perturbing bodies will appear at the same time. However, as long as the orbits of the moving and perturbing bodies are based on an identical coordinate system, in which the central body (barycenter) is located at the origin, under a certain condition (except for the case of the moving body crossing the perturbing body's orbit), the general expressions of the third body perturbation analytic solutions can be constructed. By use of these expressions, it is especially beneficial to study the motion status of the minor planets and natural satellites. This is not only because it is easy to embody the features of the varied orbit with respect to the moving body, but also because it is convenient to analyze and discuss the resonance problems, such as the orbital resonances in the sense of the mean motion and the secular resonances in regard to the slow variables. In view of this, this paper presents the concrete results.

关 键 词：受摄二体问题 中心天体 分析解 第三体摄动 

分 类 号：P133[天文地球—天体力学]