• On the Stability of 𝐿4,5 in the Relativistic R3BP with Radiating Secondary

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/joaa/035/04/0685-0700

    • Keywords

       

      Celestial mechanics; radiating secondary; relativity; R3BP.

    • Abstract

       

      This paper discusses the motion of a test particle in the neighbourhood of the triangular points 𝐿4,5 by considering the less massive primary (secondary) as a source of radiation in the framework of the relativistic restricted three-body problem (R3BP). It is found that the positions and stability of the triangular point are affected by both relativistic and electromagnetic radiation factors. It turns out that both the coordinates of the infinitesimal mass are affected, contrary to the classical where this happens only for one coordinate. A practical application of this model could be the study of dynamical evolution of dust particles in orbits around a binary system with a dark degenerate first primary and a secondary stellar companion.

    • Author Affiliations

       

      Jagadish Singh1 Nakone Bello2

      1. Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria.
      2. Department of Mathematics, Faculty of Science, Usmanu Danfodiyo University, Sokoto, Nigeria.
    • Dates

       
  • Journal of Astrophysics and Astronomy | News

    • Continuous Article Publication

      Posted on January 27, 2016

      Since January 2016, the Journal of Astrophysics and Astronomy has moved to Continuous Article Publishing (CAP) mode. This means that each accepted article is being published immediately online with DOI and article citation ID with starting page number 1. Articles are also visible in Web of Science immediately. All these have helped shorten the publication time and have improved the visibility of the articles.

© 2017-2019 Indian Academy of Sciences, Bengaluru.