学术活动
Quasi-collision solutions in the three-body problem
2013-06-03
来源:科技处 点击次数:主 讲 人:Prof. Alain Chenciner(巴黎七大,巴黎天文台)
时间地点:
6月3日(周一)下午2:00-4:00 北一文科楼707
6月5日(周三)下午2:00-4:00 北一文科楼5056月8日(周六)上午9:00-11:00 北一文科楼206
6月13日(周四)下午2:00-4:00 北一文科楼708
摘 要:The course is an introduction to some aspects of the three-body problem, in particular the existence of “quasi-collision solutions” which are collision-free but come arbitrarily close to collisions. In the phase space, such solutions belong to KAM invariant tori of the regularized system. I shall mainly focus on the planar circular restricted 3-body problem in the lunar case and its reduction, after regularization, to a twist map on an annulus. At the end, I shall give a hint of the existing results for the full 3-body problem in a space of dimension 2 or 3.