The tetrahedral 4-body problem

被引：8

作者：

Delgado J. ^{[1
]}

Vidal C. ^{[2
]}

机构：

[1] Departamento de Matemáticas, Universidad Autónoma Metropolitan-Izlapalapa, México, D.F. 09340

[2] Departamento de Matemática, Universidade Federal de Pernambuco, Cidade Universitaria, Recife, PE 50740-540, Avenida Prof. Luiz Freire, s/n

来源：

Journal of Dynamics and Differential Equations | 1999年 / 11卷 / 4期

关键词：

4-Body problem; Parabolic orbits; Symbolic dynamics; Total collision;

D O I：

10.1023/A:1022667613764

中图分类号：

学科分类号：

摘要：

Consider 4 bodies of equal unit masses in space at the vertices of a regular tetrahedron with variable height, interacting under gravitational forces. A topological and dynamical description of the total collision manifold, parabolic orbits of escape, and homoclinic and heteroclinic orbits asymptotic to total collision and infinity are given. This permits us to give a symbolic dynamics representation of motions. © 1999 Plenum Publishing Corporation.

引用

页码：735 / 780

页数：45