On the (1+4)-body problem with J2 potential

被引：0

作者：

Gauthier, Ryan ^{[1
]}

Stoica, Cristina ^{[1
]}

机构：

[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON, Canada

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2023年 / 368卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

n-body problem; Square homographic motions; Saddle-node bifurcation; J(2) perturbation; Relative equilibria; Stability; 4-BODY PROBLEM; STABILITY; SURFACES;

D O I：

10.1007/s10509-023-04227-w

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the (1 + 4)-body problem with a Newtonian potential augmented by a "J(2)" inverse-cubic perturbation. We describe the square-shaped homographic motions, and we find a saddle-centre bifurcation of the rotating equilibria (RE). Further, we prove that for a sufficiently small perturbation, all square-shaped RE are unstable.

引用

页数：10

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