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Regularization of the two body problem with variable mass

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Abstract

Using Levi Civita's regularization, we put the two body problem with variable mass (x=−Mxr −3) into a form which can be solved analytically on computer. Two particular cases are discussed: 1.\(\dot M\)=C te; 2.\(\dot M\)÷M α (α unspecified).

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  1. Notre-Dame de la Paix, Facultés Universitaires, Rue de Bruxelles, 61, 5000, Namur, Belgique

    Pierre Guillaume

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  1. Pierre Guillaume
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Guillaume, P. Regularization of the two body problem with variable mass. Celestial Mechanics 10, 141–149 (1974). https://doi.org/10.1007/BF01227613

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  • DOI: https://doi.org/10.1007/BF01227613

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