Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem

A Comparative study on generalized Manev potential and Newtonian potential in perturbed... The motion of a test particle within the context of the restricted four-body problem (R4BP) driven by a new kind of potential, called the generalized Manev potential, with perturbations in the Coriolis and centrifugal forces is considered in this study. The system possesses eight libration points which were distributed on its plane of motion in different manner from those of the usual Newtonian potential. Unlike the case of the perturbed R4BP under Newtonian potential, where two of these librations are stable, all of them are unstable in linear sense under Manev potential. We found that a gradual perturbation in the centrifugal force causes the trajectories of motion to drift inward but the Coriolis force was proven to have no effect on the location of the libration points of the system. Using first order Lyapunov characteristic exponents, the dynamical behavior of the system is found irregular. We experimented with a high velocity stellar system (82 G. Eridani) to establish the applicability of the model in astrophysics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem

Loading next page...
 
/lp/springer-journals/a-comparative-study-on-generalized-manev-potential-and-newtonian-coafxFC4o9

References (25)

Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3964-9
Publisher site
See Article on Publisher Site

Abstract

The motion of a test particle within the context of the restricted four-body problem (R4BP) driven by a new kind of potential, called the generalized Manev potential, with perturbations in the Coriolis and centrifugal forces is considered in this study. The system possesses eight libration points which were distributed on its plane of motion in different manner from those of the usual Newtonian potential. Unlike the case of the perturbed R4BP under Newtonian potential, where two of these librations are stable, all of them are unstable in linear sense under Manev potential. We found that a gradual perturbation in the centrifugal force causes the trajectories of motion to drift inward but the Coriolis force was proven to have no effect on the location of the libration points of the system. Using first order Lyapunov characteristic exponents, the dynamical behavior of the system is found irregular. We experimented with a high velocity stellar system (82 G. Eridani) to establish the applicability of the model in astrophysics.

Journal

Applied Mathematics-A Journal of Chinese UniversitiesSpringer Journals

Published: Mar 1, 2023

Keywords: generalized Manev potential; Coriolis force; centrifugal force; stability; chaotic; 82 G. Eridani; 00A71; 35A01; 65N12

There are no references for this article.