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First-order secular planetary theory up to fourth power in eccentricities and inclinations

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Abstract

We construct a first-order secular general planetary theory, using the Jacobi-Radau set of origins, referring to common fixed plane and in terms of Poincaré canonical variables. We neglect powers higher than the fourth with respect to the eccentricities and sines of inclinations.

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References

  • Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic Press.

  • Kamel, O. S. M.: M.Sc. Thesis, Faculty of Science, Cairo University, Egypt.

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Authors and Affiliations

  1. Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt

    Osman M. Kamel

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  1. Osman M. Kamel
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Kamel, O.M. First-order secular planetary theory up to fourth power in eccentricities and inclinations. Astrophys Space Sci 64, 227–238 (1979). https://doi.org/10.1007/BF00640043

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  • DOI: https://doi.org/10.1007/BF00640043

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