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

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    • 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

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