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

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

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.