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A method of regularizing the equations of motion in the central force-field

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Abstract

This paper deals with a method of regularization and linearization of the equations of motion in the central force-field, when the potential is given.

This method of regularization of the equations of motion is known (Sundman, 1913), and is based on the transformation of time by means of introducing a new independent variable.

In this article a condition has been obtained for the regularizing function when the potential is given.

Some examples of the perturbed Keplerian motions are discussed.

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Authors and Affiliations

  1. The All Union Extra-Mural Institute of the Textile and Light Industry, Moscow, U.S.S.R.

    I. M. Belen'kii

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  1. I. M. Belen'kii
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Belen'kii, I.M. A method of regularizing the equations of motion in the central force-field. Celestial Mechanics 23, 9–32 (1981). https://doi.org/10.1007/BF01228542

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  • DOI: https://doi.org/10.1007/BF01228542

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