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Spatial collinear restricted four-body problem with repulsive Manev potential

We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, 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 β, 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

Springer Verlag

Author: Barrabés Vera, Esther
Cors i Iglesias, Josep M.
Vidal, Claudio
Date: 2020 February 15
Abstract: We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, 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 β, 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
Document access: http://hdl.handle.net/2072/372843
Language: eng
Publisher: Springer Verlag
Rights: Tots els drets reservats
Subject: Bifurcació, Teoria de la
Bifurcation theory
Estabilitat
Stability
Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Sistemes dinàmics diferenciables
Differentiable dynamical systems
Title: Spatial collinear restricted four-body problem with repulsive Manev potential
Type: info:eu-repo/semantics/article
Repository: Recercat

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