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Linearization in special cases of perturbed Keplerian motions

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Abstract

This paper treats linearization of problems of motion in three-dimensions in not-central force fields, when the problems are reducible to the one-dimensional case by using integrals of the motion. Linearizing transformations of the independent variable are found to solve such problems if the motion is bounded, and explicit forms of the regularizing functions, corresponding to more common potentials, are given. An application is presented to the integration of a radial intermediary orbit that arises in the analytical study of the theory of artificial satellites.

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Authors and Affiliations

  1. Departmento de Matemática Aplicada, E.T.S. Ingenieros Industriales, 47010, VALLADOLID, Spain

    José M. Ferrándiz

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  1. José M. Ferrándiz
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Ferrándiz, J.M. Linearization in special cases of perturbed Keplerian motions. Celestial Mechanics 39, 23–31 (1986). https://doi.org/10.1007/BF01232286

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  • DOI: https://doi.org/10.1007/BF01232286

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