Author

Ashi Arwa

Date of Award

Summer 8-2016

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

John C. Chrispell, Ph.D.

Second Advisor

Frederick A. Adkins, Ph.D.

Third Advisor

Yu-Ju Kuo, Ph.D.

Abstract

This research paper aims to build a mathematical simulation of a $n$-body problem in two dimensional space and study its temporal advancement. Moreover, the paper examines the break-up of a satellite,``Moon'' orbiting a larger mass,``Earth''. It assumes an initial fragmentation of the satellite object. An example would be break-up of a moon, potentially forming rings about a planet. In order to study this system, this research builds a gravitational planet solar system simulation using a fourth order Runge-Kutta method and varying model parameters.

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