Periodic brake orbits in the N-body problem

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Periodic brake orbits in the N-body problem

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Chen, Nai-Chia

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2014-08

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Abstract

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.

Keywords

Celestial mechanics

Classical mechanics

Differential equations

N-body problem

Mathematics

Description

University of Minnesota Ph.D. dissertation. August 2014. Major: Mathematics. Advisor: Richard Moeckel,. 1 computer file (PDF); vi, 86 pages.

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Chen, Nai-Chia. (2014). Periodic brake orbits in the N-body problem. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/166977.

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