Central configurations of the 4-body problem with masses m1 = m2 > m3 = m4 = m > 0 with m small [ Back ]

Date:
19.05.14   
Times:
15:30 to 16:30
Place:
CRM - Auditori (C1/034)
Speaker:
Montserrat Corbera
University:
Universitat de Vic

Abstract:

In this talk we will give a complete description of the families of central configurations of the planar 4-body problem with two pairs of equal masses when two of the masses are sufficiently small. In particular, for this particular 4-body problem we prove the following two conjectures:

1) "There is a unique convex planar central configuration of the 4-body problem for each ordering of the masses in the boundary of its convex hull" and

2) "There is a unique convex planar central configuration having two pairs of equal masses located at the adjacent vertices of the configuration and it is an isosceles trapezoid".