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Volume 13, Issue 4
On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

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

DOI: 10.4208/aamm.OA-2020-0264

Adv. Appl. Math. Mech., 13 (2021), pp. 966-981.

Published online: 2021-04

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  • 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.

  • Keywords

Restricted four-body problem, equilibrium points, basins of convergence.

  • AMS Subject Headings

65P20, 37N05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-13-966, author = {Muhammad , ShahDuraihem , Faisal ZaidChen , Wei and Zotos , Euaggelos E.}, title = {On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2021}, volume = {13}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2020-0264}, url = {http://global-sci.org/intro/article_detail/aamm/18759.html} }
TY - JOUR T1 - On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure AU - Muhammad , Shah AU - Duraihem , Faisal Zaid AU - Chen , Wei AU - Zotos , Euaggelos E. JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 966 EP - 981 PY - 2021 DA - 2021/04 SN - 13 DO - http://doi.org/10.4208/aamm.OA-2020-0264 UR - https://global-sci.org/intro/article_detail/aamm/18759.html KW - Restricted four-body problem, equilibrium points, basins of convergence. AB -

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.

Muhammad , ShahDuraihem , Faisal ZaidChen , Wei and Zotos , Euaggelos E.. (2021). On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure. Advances in Applied Mathematics and Mechanics. 13 (4). 966-981. doi:10.4208/aamm.OA-2020-0264
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