Marcel Guardia Vadim Kaloshin

Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem

For the Restricted Circular Planar 3 Body Problem, we show that there exists an open set $\mathcal U$ in phase space independent of fixed measure, where the set of initial points which lead to collision is $O(μ^\frac{1}{20})$ dense as $μ\rightarrow 0$.