RESEARCH COMMONS
LIBRARY

Case Studies Of The Circular Restricted Three Body Problem

ResearchCommons/Manakin Repository

Case Studies Of The Circular Restricted Three Body Problem

Show full item record

Title: Case Studies Of The Circular Restricted Three Body Problem
Author: Eberle, William Jason
Abstract: In this thesis, the onset of instability for a planet which is part of a stellar binary system is investigated by running numerical simulations of the circular restricted three body problem. This study also makes use of a rotating (synodic) coordinate system keeping both binary stars at rest. This allows the definition of a constant of motion (Jacobi's constant), which in turn sets a permissible region of motion for the planet. As the initial conditions are varied, the boundary of the permissible region of motion passes through each of the three collinear equilibrium points with significant changes to the orbit of the planet at or near each crossing. The average eccentricity of the orbit serves as an additional means of determining the stability. The stability limits obtained via these methods agree with other methods that were obtained with simulations over much longer time intervals.
URI: http://hdl.handle.net/10106/279
Date: 2007-08-23
External Link: https://www.uta.edu/ra/real/editprofile.php?onlyview=1&pid=110

Files in this item

Files Size Format View
umi-uta-1685.pdf 4.710Mb PDF View/Open
4.710Mb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Browse

My Account

Statistics

About Us