The application of hierarchical relative coordinates to the analysis of the movement of subsystems of many-body problems |
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| Authors: | Alberto J Abad José A Docobo |
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| Institution: | (1) Departamento de Astronomia, Universidad de Zaragoza, 50009 Zaragoza, Spain;(2) Observatorio Astronómico  Ramón Ma Aller , Santiago de Compostela, Spain |
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| Abstract: | The behaviour of a subsystem of a many-body problem may be studied using the hierarchical relative coordinates defined by Nugeyre and Bouvier (1981), The present article employs a notation allowing the position vectors of the particles to be expressed explicity as functions of the hierarchical relative coordinates, This machinery is used to generalize a result of Patnaik's (1975) concerning escape from a many-body system. |
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