In this thesis, multipole expansions of mass, momentum and stress density will be made for
a body in Newtonian mechanics. Using these definitions / momentum, angular momentum,
center of mass, force and torque are defined for N gravitationally interacting isolated bodies.
Equations of motions of such a system are derived. Definitions of momentum, angular
momentum, center of mass, force and torque are made in a relativistic theory. Dynamical
(gravitational) skeleton is defined and the multipole moments of the dynamical skeleton are
found. Equations of motion for a test body moving in a gravitational field are derived in terms
of the multipole moments. Save the details of the derivations, no originality in this thesis is
claimed: it is intended as a review of the subject.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12610981/index.pdf |
| Date | 01 September 2009 |
| Creators | Ilhan, Ibrahim B |
| Contributors | Tekin, Bayram |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
Page generated in 0.0025 seconds