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Periodic solutions in Hill's relativistic problem

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Abstract

In this article the existence of periodic solutions in Hill's relativistic problem is demonstrated using Poincaré's small parameter method. This method guarantees the convergence of the series representing the periodic solutions.

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References

  • Brumberg, V. A.: 1958, ‘Relativistic Corrections in the Theory of Moon's Motion’,Bulletin I.T.A., Academy of Sciences U.S.S.R.,6, No. 10, 733–756.

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  • Brumberg, V. A.: 1972,Relativistic Celestial Mechanics, Nauka, Moscow.

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  • Demin, V. G.: 1968,Motion of Artificial Satellite in the Non-central Field of Gravitation, Nauka, Moscow.

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  • Poincaré, H.: 1892–1899,Les Méthodes nouvelles de la mécanique céleste, t. 1–3, Paris.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Banaras Hindu University, 221005, Varanasi, India

    Virendra Singh

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  1. Virendra Singh
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Singh, V. Periodic solutions in Hill's relativistic problem. Celestial Mechanics 16, 137–142 (1977). https://doi.org/10.1007/BF01228596

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  • DOI: https://doi.org/10.1007/BF01228596

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