Spatial collinear restricted four-body problem with repulsive Manev potential

View/Open
Cita com:
hdl:2117/108113
Document typeArticle
Defense date2017-09-01
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial
property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public
communication or transformation of this work are prohibited without permission of the copyright holder
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.
Description
The final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9771-y
CitationBarrabés, E., Cors, J., Vidal, C. Spatial collinear restricted four-body problem with repulsive Manev potential. "Celestial mechanics and dynamical astronomy", 1 Setembre 2017, vol. 129, núm. 1-2, p. 153-176.
ISSN0923-2958
Publisher versionhttps://link.springer.com/article/10.1007%2Fs10569-017-9771-y
Collections
Files | Description | Size | Format | View |
---|---|---|---|---|
CELE-D-17-00016R2.pdf | 2,040Mb | View/Open |