Variational methods and the orbits with collisions in the N-body problem.

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Variational methods and the orbits with collisions in the N-body problem.

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Huang, Hsin-Yuan

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2011-05

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Thesis or Dissertation

Abstract

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.

Keywords

N-body Problem

Variational Methods

Mathematics

Description

University of Minnesota Ph.D. dissertation. Major: Mathematics. Advisor: Richard Moeckel. 1 computer file (PDF); vi, 47 pages, appendix p. 42-43.

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Huang, Hsin-Yuan. (2011). Variational methods and the orbits with collisions in the N-body problem.. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/107964.

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