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


Abstract in English

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 $O(mu^frac{1}{20})$ dense as $murightarrow 0$.

Download