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Le problème desn corps et les invariants intégraux

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Abstract

This paper is the text of a course offered at Cortina d'Ampezzo (NATO Advanced Study Institute-Long time prediction in dynamics 1975). The integral invariants were introduced by H. Poincaré and E. Cartan. This mathematical notion is very tractable by the use of exterior algebra of different forms. Work at the University of Besançon introduces again this theory, in Celestial Mechanics. This paper has two parts: mathematical tools, then an application to then-body problem where, by the use of the 11th ‘local’ integral, I found some new equations and developed them for the collinear triple collision of three bodies.

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Bibliographie

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Authors and Affiliations

  1. Laboratoire de Méchanique Théorique, Faculté des Sciences de la Bouloie, 25030, Besançon Cedex, France

    L. Losco

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  1. L. Losco
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Losco, L. Le problème desn corps et les invariants intégraux. Celestial Mechanics 15, 477–488 (1977). https://doi.org/10.1007/BF01228613

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  • DOI: https://doi.org/10.1007/BF01228613

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