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math.DS2023
A symplectic dynamics approach to the spatial isosceles three-body problem
Xijun Hu, Lei Liu, Yuwei Ou +2
We study the spatial isosceles three-body problem from the perspective of Symplectic Dynamics. For certain choices of mass ratio, angular momentum, and energy, the dynamics on the…
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…