Mass-weighted symplectic forms for the N-body problem

被引：6

作者：

Varadi, F ^{[1
]}

Ghil, M ^{[1
]}

Kaula, WM ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90095 USA

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1998年 / 72卷 / 03期

基金：

美国国家科学基金会;

关键词：

symplectic form; symplectic mapping; Hamiltonian formalism; perturbation theory; N-body problem;

D O I：

10.1023/A:1008374927645

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Mass-weighted symplectic forms provide a unified framework for the treatment of both finite and vanishingly small masses in the N-body problem. These forms are introduced, compared to previous approaches, and their properties are discussed. Applications to symplectic mappings, the definition of action-angle variables for the Kepler problem, and Hamiltonian perturbation theory are outlined.

引用

页码：187 / 199

页数：13

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