arxiv: 1805.00800 · v1 · pith:ECOCG3VInew · 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

classification 🧮 math.DS

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 $\mu\rightarrow 0$.

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

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