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math.DS2022
Hyperbolic and Bi-hyperbolic solutions in the planar restricted -body problem
Guowei Yu
Consider the planar restricted -body problem with trajectories of the primaries forming a collision-free periodic solution of the -body problem, for any positi…
math.DS2022
Regularizable collinear periodic solutions in the -body problem with arbitrary masses
Guowei Yu
For -body problem with arbitrary positive masses, we prove there are regularizable collinear periodic solutions for any ordering of the masses, going from a simultaneous binary…
math.DS2022
Global Surfaces of Section and Periodic Orbits in The Spatial Isosceles Three Body Problem
Xijun Hu, Lei Liu, Yuwei Ou +1
We study the spatial isosceles three body problem, which is a system with two degrees of freedom after modulo the rotation symmetry. For certain choices of energy and angular momen…