STABILITY OF THE PLANETARY 3-BODY PROBLEM .1. EXPANSION OF THE PLANETARY HAMILTONIAN

被引：140

作者：

LASKAR, J

ROBUTEL, P

机构：

[1] CNRS-Astronomie et Systèmes Dynamiques, Bureau des Longitudes, Paris, 75006

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1995年 / 62卷 / 03期

关键词：

PLANETARY MOTION; PERTURBATION FUNCTION; CELESTIAL MECHANICS; COMPUTER ALGEBRA;

D O I：

10.1007/BF00692088

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a direct method for the expansion of the planetary Hamiltonian in Poincare canonical elliptic variables with its effective implementation in computer algebra. This method allows us to demonstrate the existence of simplifications occurring in the analytical expression of the Hamiltonian coefficients. All the coefficients depending on the ratio of the semi major axis can thus be expressed in a concise and canonical form.

引用

页码：193 / 217

页数：25

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