The n-body problem and integral invariants

Details The n-body problem and integral invariants The n-body problem and integral invariants

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..477l&link_type=abstract

Celestial Mechanics, vol. 15, Aug. 1977, p. 477-488. In French.

Mathematics

12

Celestial Mechanics, Collision Parameters, Integral Equations, Invariance, Many Body Problem, Three Body Problem, Differential Equations, Transformations (Mathematics), Two Body Problem

Scientific paper

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 Poincare and Cartan. This mathematical notion is very tractable by the use of exterior algebra of different forms. Work at the University of Besancon introduces again this theory in Celestial Mechanics. This paper has two parts: mathematical tools, then an application to the n-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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