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Collinear Points in the Photogravitational ER3BP with Zonal Harmonics of the Secondary

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Abstract

The positions and stability of the collinear equilibrium points in the photogravitational ER3BP with zonal harmonics of the secondary is investigated. The effects of the perturbing forces: - oblateness, eccentricity and radiation pressure—on the positions and stability of collinear points \((L_{1,2,3})\) of an infinitesimal mass in the framework of the photogravitational ER3BP with zonal harmonics of the secondary are established. These effects on the positions of the binary systems Zeta Cygni, 54 Piscium, Procyon A/B and Regulus A are shown graphically and numerically from the analytic results obtained. It is observed that as the zonal harmonic \(J_{4}\) and eccentricity e increase, the collinear points shift towards the origin, while the reverse is observed with increase in the semi-major axis. The stability behavior however is unaffected by the introduction of these parameters, the collinear points remain linearly unstable.

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Authors and Affiliations

  1. Department of Basic Science and General Studies, Federal College of Forestry Mechanization, Forestry Research Institute of Nigeria, Ibadan, Nigeria

    Rukkayat Suleiman

  2. Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria

    Aishetu Umar & Jagadish Singh

  3. P.M.B 2273, Afaka, Kaduna, Nigeria

    Aishetu Umar & Jagadish Singh

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  1. Rukkayat Suleiman
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Suleiman, R., Umar, A. & Singh, J. Collinear Points in the Photogravitational ER3BP with Zonal Harmonics of the Secondary. Differ Equ Dyn Syst 28, 901–922 (2020). https://doi.org/10.1007/s12591-017-0352-z

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