A special case of the restricted many-body problem

Details A special case of the restricted many-body problem A special case of the restricted many-body problem

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..317d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, April 1985, p. 317-328. In French.

Physics

Celestial Mechanics, Many Body Problem, Liapunov Functions, Libration, Polygons, Systems Stability

Scientific paper

Nous considerons ici un cas particulier du problème restreint des n+1 corps. Les n points matériels actifs des masses unitaires sont situés dans les sommets d'un polygone équilatéral, qui tourne uniformément autour son centre. Ces n corps agissent sur un point matériel passif par une loi quelconque. On trouve les points de libration correspondants et on recherche le problème de la stabilité de ces points au sense de Lyapunov.

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