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Revealing the dynamics of equilibrium points in a binary system with two radiating bodies

  • H. I. Alrebdi
  • , Boubaker Smii
  • , Euaggelos E. Zotos*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The equilibrium dynamics of the post-Newtonian circular restricted three-body problem (PNCRTBP), in the case of two massive stars or even stellar remnants, are investigated. Numerical methods are deployed for determining the points of equilibrium, as well as their linear stability. Our systematic and rigorous analysis reveals the role and influence of the transition parameter ∊ and the radiation pressure factor q on the dynamics of the system. It is revealed that the amount of equilibria increases with increasing value of the radiation pressure factor. On the other hand, as the value of the transition parameter tends to its maximum value the number of libration points is reduced, implying that in the case of strong post-Newtonian gravity the system degenerates.

Original languageEnglish
Pages (from-to)2021-2034
Number of pages14
JournalAdvances in Space Research
Volume70
Issue number7
DOIs
StatePublished - 1 Oct 2022

Bibliographical note

Publisher Copyright:
© 2022 COSPAR

Keywords

  • Binaries
  • General – gravitation – methods
  • Numerical

ASJC Scopus subject areas

  • Aerospace Engineering
  • Astronomy and Astrophysics
  • Geophysics
  • Atmospheric Science
  • Space and Planetary Science
  • General Earth and Planetary Sciences

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