Submission Title

Perturbing Equilibria of the Three-Body Problem

Presenter Information

Joe Stauss, Gonzaga University

Session Number

SS1A

Location

Robinson 310

Abstract Number

SS1A-c

Abstract

The Lagrange-Relative Equilibrium and the Figure-8 Equilibrium are the only known periodic solutions of the Three-Body problem in the case of equal masses. These equilibria were analyzed by using a finite-difference method to approximate their perturbation-response for various quantities. The resultant behavior is discussed, explained, and classified.

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Apr 23rd, 9:00 AM Apr 23rd, 10:30 AM

Perturbing Equilibria of the Three-Body Problem

Robinson 310

The Lagrange-Relative Equilibrium and the Figure-8 Equilibrium are the only known periodic solutions of the Three-Body problem in the case of equal masses. These equilibria were analyzed by using a finite-difference method to approximate their perturbation-response for various quantities. The resultant behavior is discussed, explained, and classified.