On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

Year:    2021

Author:    Shah Muhammad, Faisal Zaid Duraihem, Wei Chen, Euaggelos E. Zotos

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 966–981

Abstract

The purpose of this work is to shed some light on the dynamics of the equilateral restricted four-body problem with equally massed radiating bodies. The positions along with the linear stability of the coplanar equilibria are determined by using numerical methods. Specifically, we conduct a rigorous and systematic analysis for elucidating the influence of the mass parameter $m_3$ and the radiation pressure factor $q$ on the dynamics of the system. Our results indicate that these two parameters are very influential in the equilibria of the system.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2020-0264

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 966–981

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Restricted four-body problem equilibrium points basins of convergence.

Author Details

Shah Muhammad

Faisal Zaid Duraihem

Wei Chen

Euaggelos E. Zotos

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