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Régularisation des collisions binaires du problème desn corps

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Résumé

Une régularisation des collisions binaires du probléme desn corps est obtenue pour le probléme plan ou spatial par l'utilisation de la projection stéréographique de Moser en variables de Lagrange.

Abstract

Regularization of binary collisions in the problem ofn-bodies is obtained for the plane or spatial problem, by use of Moser's stereographic mapping in Langrange's variables.

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Références

  • Heggie, D.: 1974,Celes. Mech. 10, 217–214.

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  • Moser, J.: 1970,Comm. Pure Appl. Math.,23, 609–636.

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  • Stiefel, E. L. et Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer Verlag, Berlin, Heidelberg, New York.

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  • Waldvogel, J.: 1972,Celes. Mech. 6, 221–231.

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Authors and Affiliations

  1. Laboratoire de Mécanique Théorique, Faculté des Sciences de La Bouloie, 25030, Besancon Cedex, France

    L. Losco

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  1. L. Losco
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Losco, L. Régularisation des collisions binaires du problème desn corps. Celestial Mechanics 13, 413–419 (1976). https://doi.org/10.1007/BF01229094

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  • DOI: https://doi.org/10.1007/BF01229094

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