Perturbing Equilibria of the Three-Body Problem
Faculty Sponsor
Richard Cangelosi, Gonzaga University
Research Project 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.
Session Number
SS1A
Location
Robinson 310
Abstract Number
SS1A-c
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.
