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Expansions of the derivatives of the disturbing function in planetary problems

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Abstract

A method is suggested to develop literal expansions of derivatives of the disturbing function especially for the case of large values of the major axis ratio λ. The series remain convergent as well if λ=1, unless the eccentricities vanish at the same time. The treatment holds true in the case when usual analytical expansions are not valid, that is if the orbits have points equidistant from the primary. The general case is considered too, the intersecting orbits being included.

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Authors and Affiliations

  1. Institute of Theoretical Astronomy, Leningrad, USSR

    M. S. Petrovskaya

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  1. M. S. Petrovskaya
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Petrovskaya, M.S. Expansions of the derivatives of the disturbing function in planetary problems. Celestial Mechanics 6, 328–342 (1972). https://doi.org/10.1007/BF01231476

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  • DOI: https://doi.org/10.1007/BF01231476

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