Finiteness the number of central configurations of the 5 body problem (joint with Alain Albouy)

Jeudi 21 janvier 2010 14:00-15:00 - Kaloshin Vadim - Maryland et Penn State

Résumé : We show that the number of central configurations of the 5 body problem is finite positive, except perhaps if masses satisfy certain algebraic relationships.
The 6th Smale problems for the XXI century is the finiteness of number of planar central configurations for any combination of masses positive. The problem was posed by Chazy in 1918, then in Wintner 1941. Hampton and Moeckel resolved in 2004
where n = 4. We begin by proving their result in a simpler way.

Lieu : 425 - 121-123

Finiteness the number of central configurations of the 5 body problem (joint with Alain Albouy)  Version PDF