|
Title:
|
Spatial collinear restricted four-body problem with repulsive Manev potential
|
|
Author:
|
Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Vidal Díaz, Claudio
|
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtiques |
|
Abstract:
|
The final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9771-y |
|
Abstract:
|
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/r2-1/r+e/r2), e>0e>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 ßß, 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. |
|
Abstract:
|
Peer Reviewed |
|
Subject(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística
-Celestial mechanics
-Many-body problem
-Orbits
-Restricted four-body problem
-Repulsive Manev potential
-Equilibrium points
-Stability
-Mecànica celest
-Problema dels cossos múltiples
-Òrbites
-Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
-Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
|
Rights:
|
|
|
Document type:
|
Article - Published version
Article |
|
Share:
|
|
