Speaker: Alain Chenciner (IMCCE)
Title: Reduction of symmetries in the N-body problem
Abstract: The reduction of symmetries in the three-body problem is
best understood by first forgetting the dimension of space. This
amounts to considering the problem in a four dimensional euclidean
space and this is indeed what Lagrange did in 1772 in his famous
“Essay on the three-body problem”. There, the “constraint” of being in
a three dimensional space is expressed by equating to zero one of the
three first integrals of the reduced equations. I shall describe the
generalization that Alain Albouy and I gave in 1998 of Lagrange’s
result. In contrast with central configurations which admit only
periodic relative equilibrium motions, I shall show that, if the
dimension is at least four, there exist “well balanced” configurations
which admit quasi-periodic relative equilibrium motions.

Time:13:10~14:10, May. 10(Mon.), 2010
Place:Room 101, New Mathematics Building, National Taiwan University(臺灣大學新數館101室)