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Date | 2024-02-06 |
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Speaker | Kevin Ruck |

Dept. | Augsburg University |

Room | 선택 |

Time | 17:00-19:00 |

In this talk, I want to show that in the planar circular restricted three body problem there are infinitely many symmetric consecutive collision orbits for all energies below the first critical energy value. By using the Levi-Civita regularization we will be able to distinguish between two different orientations of these orbits and prove the above claim for both of them separately. The tool we want to use for this is the Lagrangian Rabinowitz Floer homology, or to be more precise an $G$ equivariant version of it (where $G$ is a finite Lie group). In order to efficiently calculate this $G$ equivariant homology we will relate it to the Tate homology of $G$ and then as usually the dimension of the Rabinowitz Floer homology will give a lower bound on the number of orbits we are interested in.

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