Spatial collinear restricted four-body problem with repulsive Manev potential

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 ( - 1 / r + e / r 2 ), e > 0 , is applied to the central mass. We investigate the relat...

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Bibliographic Details
Published in:Celestial mechanics and dynamical astronomy Vol. 129; no. 1-2; pp. 153 - 176
Main Authors: Barrabés, Esther, Cors, Josep M., Vidal, Claudio
Format: Journal Article Publication
Language:English
Published: Dordrecht Springer Netherlands 01.09.2017
Springer Nature B.V
Subjects:
70 Mechanics of particles and systems
70F Dynamics of a system of particles, including celestial mechanics
70H Hamiltonian and Lagrangian mechanics
Aerospace Technology and Astronautics
Astrophysics
Astrophysics and Astroparticles
Attraction
Celestial mechanics
Classical Mechanics
Classificació AMS
Dynamical Systems and Ergodic Theory
Equilibrium points
Four body problem
Geophysics/Geodesy
Many-body problem
Matemàtiques i estadística
Mecànica celest
Numerical analysis
Orbits
Original Article
Physics
Physics and Astronomy
Problema dels cossos múltiples
Repulsive Manev potential
Restricted four-body problem
Stability
Àrees temàtiques de la UPC
Òrbites
70F10
Stability
Repulsive Manev potential
Equilibrium points
70F15
Restricted four-body problem
70H12
ISSN:0923-2958, 1572-9478
Online Access:Get full text
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Summary: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 ( - 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.
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ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-017-9771-y