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A Study of Albedo Effects on Libration Points in the Elliptic Restricted Three-Body Problem

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Abstract

This paper deals with the libration points in the elliptic restricted three-body problem. The combined effects of the primary bodies’ orbital eccentricity and albedo on the existence and stability of libration points is analyzed. It is found that there exist five libration points, three collinear and two non-collinear. The non-collinear libration points are stable for a critical value of mass parameter μc, the collinear libration points are unstable for all values of μ.

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Acknowledgements

The authors are grateful to the reviewers, their comments have been a great help in improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, College of Natural and Computational Science, Mizan-Tepi University, Tepi, Ethiopia

    M. Javed Idrisi

  2. Department of Mathematics, T. M. Bhagalpur University, Bhagalpur, Bihar, 812007, India

    M. Shahbaz Ullah

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  1. M. Javed Idrisi
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Correspondence to M. Javed Idrisi.

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Idrisi, M.J., Ullah, M.S. A Study of Albedo Effects on Libration Points in the Elliptic Restricted Three-Body Problem. J Astronaut Sci 67, 863–879 (2020). https://doi.org/10.1007/s40295-019-00202-2

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