Bifurcations and enumeration of central configurations of some planar restricted problems

被引：0

作者：

Barros, Jean Fernandes ^{[1
]}

机构：

[1] Univ Estadual Feira De Santana UEFS, Dept Ciencias Exatas DEXA, Ave Transnordestina S-N, BR-44036900 Feira De Santana, BA, Brazil

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2023年 / 135卷 / 02期

关键词：

Celestial mechanics; n-Body problem; Central configurations; Bifurcations; RELATIVE EQUILIBRIA; FINITENESS; BODIES;

D O I：

10.1007/s10569-023-10127-6

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, we count (classes of) central configurations of the restricted (5 + 1) and (4 + 1)-body problems whose primaries form either a centered square or a centered equilateral triangle. More precisely, we count the central configurations formed by the centered polygons and a body of zero mass as the value of the mass of the central body varies. For this purpose, we study the bifurcation set. In addition, we classify the bifurcations as saddle-node bifurcations.

引用

页数：25

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