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Home » Celestial Mechanics: Asymptotic density of the collision orbits in the restricted planar circular 3 body problem

Seminar

Celestial Mechanics: Asymptotic density of the collision orbits in the restricted planar circular 3 body problem October 04, 2018 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Jianlu Zhang (University of Maryland)
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For the Restricted Circular Planar 3-Body Problem, we show that there exists a full dimensional open set U in phase space independent of the mass ratio μ, where the set of initial points which lead to collision is O(μ ^1/20 ) dense as μ → 0. It partially supports the conjecture of Alexseev in 1970s. 

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