Browsing by Subject "N-body Problem"

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    Variational methods and the orbits with collisions in the N-body problem.
    (2011-05) Huang, Hsin-Yuan
    The objective of this thesis is to study variational methods in the Newtonian N-body problem. Chapter 1 contains the introduction of Chapters 2 and 3. Chapter 2 is devoted to the variational proof of the Schubart-like orbits in the collinear four-body problem. In Chapter 3, we discuss the limiting configurations of the action-minimizing triple collision orbits in the planar three body problem.