Browsing by Subject "N-body problem"

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    Periodic brake orbits in the N-body problem
    (2014-08) Chen, Nai-Chia
    The thesis is devoted to finding periodic brake orbits in the N-body problem. We consider certain subsystems of the N-body problem that have two degrees of freedom, including the isosceles three-body problem and other highly symmetric sub-problems. We prove the existence of several families of symmetric periodic orbits, including ``Schubart-like" orbits and brake orbits, by using topological shooting arguments.