SOME PERIODIC SOLUTIONS OF A 4-BODY PROBLEM .2.

被引：9

作者：

CRONIN, J

RICHARDS, PB

BERNSTEIN, IS

机构：

[1] General Precision Systems Inc., Little Falls, New Jersey and Rutgers, the State University, New Brunswick, New Jersey

[2] General Precision Systems Inc., Little Falls, NJ

[3] General Precision Systems Inc., Little Falls, NJ

来源：

ICARUS | 1968年 / 9卷 / 02期

关键词：

D O I：

10.1016/0019-1035(68)90020-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Further results are obtained for the four-body problem studied in a previous paper. It is shown that the problem can be formulated in two ways as a perturbation of the restricted three-body problem. According to the Lyapunov Center Theorem, there is a family of periodic solutions near a libration point of the restricted three-body problem. Here we prove that corresponding to each periodic solution in an infinite subset of this family, there is a periodic motion of the particle of negligible mass in our four-body problem provided that a single bifurcation equation, which can be formulated explicitly, has a solution. © 1968.

引用

页码：281 / +

页数：1