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 of fixed measure, where the set of initial points which lead to collision is \({O(\mu^\frac{1}{20})}\) dense as \({\mu\rightarrow 0}\).