Brigham Young University Homepage

Physics & Astronomy

Thesis & Capstone Archive

Report Details

Chaos In The Post-Newtonian Gravitational Three-Body Problem

Student Name: Campbell, J.J.
Advisor Name: Neilsen, David
Approval Date: 12/1/2008
Report Type: Capstone
Title: Chaos In The Post-Newtonian Gravitational Three-Body Problem
Abstract: In classical Newtonian gravity, the three-body problem is known to be chaotic for general initial data. We investigate the existence of chaos for the three- body problem in general relativity using the first post-Newtonian approxima- tion. Our initial data consists of a third object entering a binary pair and is parameterized by an impact parameter and phase angle. The Hamiltonian equations of motion are integrated using adaptive methods and we extract gauge-independent quantities at infinity. We present results that characterize chaos in general relativity.
View Report: This report is not available to the public. You will need to Log In to view the report.


<< Return to report list

 
The Church of Jesus Christ of Latter-day Saints | BYU-Hawaii | BYU-Idaho | BYU Jerusalem Center | BYU Salt Lake Center | LDS Business College | Missionary Training Center