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Effect of Oblateness of an Artificial Satellite on the Orbits Around the Triangular Points of the Earth–Moon System in the Axisymmetric ER3BP

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Abstract

Using a semi-analytic approach, the effect of oblateness of an artificial satellite on the periodic orbits around the triangular Lagrangian points of the Earth–Moon system is studied. The primaries in this system move in elliptic orbits about their common barycenter, hence we have an elliptic restricted three-body problem. The frequencies of the long and short orbits of the periodic motion are affected by the oblateness of the primaries (Earth and Moon) and of the third body (artificial satellite); and so are their eccentricities, semi-major and semi-minor axes.

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

    Jagadish Singh & Aishetu Umar

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Singh, J., Umar, A. Effect of Oblateness of an Artificial Satellite on the Orbits Around the Triangular Points of the Earth–Moon System in the Axisymmetric ER3BP. Differ Equ Dyn Syst 25, 11–27 (2017). https://doi.org/10.1007/s12591-014-0232-8

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