Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies

被引：5

作者：

Croustalloudi, M. N. ^{[1
]}

Kalvouridis, T. J. ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Mech, Athens, Greece

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2008年 / 314卷 / 1-3期

关键词：

Celestial mechanics; ring problem; periodic orbits;

D O I：

10.1007/s10509-007-9716-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the simple periodic orbits of a particle that is subject to the gravitational action of the much bigger primary bodies which form a regular polygonal configuration of (nu+1) bodies when nu=8. We investigate the distribution of the characteristic curves of the families and their evolution in the phase space of the initial conditions, we describe various types of simple periodic orbits and we study their linear stability. Plots and tables illustrate the obtained material and reveal many interesting aspects regarding particle dynamics in such a multi-body system.

引用

页码：7 / 18

页数：12

共 35 条

[1] Bifurcations and equilibria in the extended N-body ring problem [J].