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Home » Celestial Mechanics: Shape space figure 8 solution of the three body problem with two equal masses

Seminar

Celestial Mechanics: Shape space figure 8 solution of the three body problem with two equal masses October 18, 2018 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Guowei Yu
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For the planar three body problem with a-homogeneous potential (1/r^a), when two of the masses are equal, using action minimization method, we show that for 1<a<2, there is a collision-free periodic solution, whose projection in the shape space looks like a figure 8; for a=1(the Newtonian potential), the minimizer is either a collision-free periodic solution as above, or it is a Schubart solution (a collinear periodic solution containing binary collisions). 

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