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

Jianlu Zhang; Marcel Guardia Vadim Kaloshin

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

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arxiv 1805.00800 v1 pith:ECOCG3VI submitted 2018-05-02 math.DS

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

Marcel Guardia Vadim Kaloshin , Jianlu Zhang This is my paper

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keywords bodycircularcollisionplanarproblemrestrictedasymptoticdense

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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 $\mu\rightarrow 0$.

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

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