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Discrete mechanics and its application to the solution of the n-body problem

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Abstract

A theory of discrete mechanics is developed based on the results of D. Greenspan. Discrete dynamical equations in an inertial frame, in a coordinate system related to some material point, and in a rotating frame are given and the consistency, stability, and convergence of the methods are studied and some numerical examples presented.

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Authors and Affiliations

  1. Department of Numerical Methods, Institute of Mathematics, A. Mickiewicz University, Poznań, Poland

    Andrzej Marciniak

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  1. Andrzej Marciniak
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Marciniak, A. Discrete mechanics and its application to the solution of the n-body problem. Acta Appl Math 2, 185–207 (1984). https://doi.org/10.1007/BF00046578

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  • DOI: https://doi.org/10.1007/BF00046578

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