学术活动
Regularization and Perturbation of the Kepler problem
2015-06-04
点击次数:主 讲 人:赵磊 博士(格罗宁根大学)
时 间: 2015年6月4日(周四)10:30-11:30
地 点: 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内 容 介 绍:In this talk, I will present certain applications of the Goursat-Levi-Civita regularization of the Kepler problem, from dimension 1 to dimension 3. In dimension 1, I will present a simplification of certain study of the forced rectilinear Kepler problem of R. Ortega. From dimension 2, I will focus on the discussion of quasi-collision orbits, which are collisionless orbits pass arbitrarily close to the collisions. I will present a mechanism initiated by Chenciner and Llibre for detecting such orbits and will summarize some results toward such orbits in various three-body problems.