Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem

Series
Time
Friday, October 28, 2022 - 11:00am for 1 hour (actually 50 minutes)
Location
Online
Speaker
Maciej Capinski – AGH University of Science and Technology – http://wms.mat.agh.edu.pl/~mcapinsk/home.html
Organizer
Jorge Gonzalez

https://gatech.zoom.us/j/95197085752?pwd=WmtJUVdvM1l6aUJBbHNJWTVKcVdmdz09

In this talk we will discuss a shooting method designed for solving two point boundary value problems in a setting where a system has integrals of motion. We will show how it can be applied to obtain certain families of orbits in the circular restricted three body problem. These include transverse ejection/collisions from one primary body to the other, families of periodic orbits, orbits passing through collision, and orbits connecting fixed points to ejections or collisions.

This is joint work with Shane Kepley and Jason Mireles James.