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Binaries application around the collinear equilibrium points in the photogravitational CR3BP with bigger primary oblate

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Abstract.

This paper studies the collinear equilibrium points of the restricted three-body problem under the effects of the oblateness of the bigger primary and the radiation pressure of the smaller primary. Using a semi-analytical and numerical approach, the positions and linear stability of these points are investigated for the binary systems RXJ 0450.1-5856 and Nova Cen 1969 (Cen X-4), and found to be affected by the oblateness and radiation pressure. The collinear points remain unstable in the sense of Lyapunov.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ahmadu Bello University, P.M.B 2222 Sokoto Road, Samaru, Zaria-Nigeria

    Jagadish Singh & Tajudeen Oluwafemi Amuda

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  1. Jagadish Singh
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  2. Tajudeen Oluwafemi Amuda
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Correspondence to Jagadish Singh.

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Singh, J., Amuda, T.O. Binaries application around the collinear equilibrium points in the photogravitational CR3BP with bigger primary oblate. Eur. Phys. J. Plus 131, 137 (2016). https://doi.org/10.1140/epjp/i2016-16137-0

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  • DOI: https://doi.org/10.1140/epjp/i2016-16137-0

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