# Giovedì 26 Aprile 2018, ore 14:30 - Aula 1BC45 - Marcel Guardia

## Seminario: “Asymptotic density of collision orbits in the Restricted Planar Circular Three Body Problem”

ARGOMENTI: Seminari

Giovedì 26 Aprile 2018 alle ore 14:30 in Aula 1BC45, Marcel Guardia (UPC Barcelona) terrà un seminario dal titolo “Asymptotic density of collision orbits in the Restricted Planar Circular Three Body Problem”.

Abstract
K. Siegel asked if there is an open set of initial conditions for a Three Body Problem which has a dense subset of collision orbits, i.e. initial conditions whose orbits hit a collision. Consider the Restricted Circular Planar 3-Body Problem with mass ratio of the primaries $\mu$. We prove the existence of an open set in phase space where collision orbits form a $O(\mu^{1/20})$ dense set as $\mu$ tends to 0.
This is a joint work with V. Kaloshin and J. Zhang.