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Consecutive collision orbits in the restricted three-body Problem on fixed energy levels
发布时间: 2018-09-12     13:00   【返回上一页】 发布人: Urs Frauenfelder


辛几何学术报告

 

报告题目: Consecutive collision orbits in the  restricted three-body Problem on fixed energy levels

  

报告人:Professor  Urs Frauenfelder (University of Augsburg, Germany)

 

时间地点:2018年9月17日下午4:00-5:00, 后主楼1124

  

邀请人:卢广存 教授

  

报告摘要:This is joint work with Lei Zhao. I first explain how the flow of the restricted three-body problem
 for energies below the first critical value can be interpreted as a Reeb flow. To see that one has to interchange 
the role of position and momentum. Consecutivecollisions become in this interpretation chords from a Legendrian
 to itself. They can be detected variationally as critical points of  Rabinowitz action functional. Rabinowitz Floer
 homology then guarantees existence of consecutive collision orbits.