Spatial collinear restricted four-body problem with repulsive Manev potential

被引：17

作者：

Barrabes, Esther ^{[1
]}

Cors, Josep M. ^{[2
]}

Vidal, Claudio ^{[3
]}

机构：

[1] Univ Girona, Dept Informat Matemat Aplicada & Estadist, Girona 17071, Spain

[2] Univ Politecn Cataluna, Dept Matemat, Manresa 08242, Spain

[3] Univ Bio Bio, Fac Ciencias, Dept Matemat, GISDA, Concepcion, VIII Region, Chile

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2017年 / 129卷 / 1-2期

关键词：

Restricted four-body problem; Repulsive Manev potential; Equilibrium points; Stability; BODY;

D O I：

10.1007/s10569-017-9771-y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We outline some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (), , is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter , the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.

引用

页码：153 / 176

页数：24

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