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math.DS2023
Compactification of the energy surfaces for n bodies
Andreas Knauf, Richard Montgomery
For n bodies moving in Euclidean d-space under the influence of a homogeneous pair interaction we compactify every center-of-mass energy surface, obtaining a 2d(n -1)-1 - dimension…
math.DS2023
No Infinite Spin for Planar Total Collision
Richard Moeckel, Richard Montgomery
The infinite spin problem concerns the rotational behavior of total collision orbits in the -body problem. It has long been known that when a solution tends to total collision t…