A method of regularizing the equations of motion in the central force-field |
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| Authors: | I. M. Belen'kii |
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| Affiliation: | (1) The All Union Extra-Mural Institute of the Textile and Light Industry, Moscow, U.S.S.R. |
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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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