Date of Award
3-14-2008
Document Type
Thesis
Degree Name
Master of Science in Astronautical Engineering
Department
Department of Aeronautics and Astronautics
First Advisor
William W. Wiesel, PhD
Abstract
Global Positioning System (GPS) satellite orbits are modeled using Kolmogorov, Arnold, Moser (KAM) tori. Precise Global Positioning System satellite locations are analyzed using Fourier transforms to identify the three basis frequencies in an Earth Centered, Earth Fixed (ECEF) rotating reference frame. The three fundamental frequencies are 1) the anomalistic frequency, 2) a combination of earth’s rotational frequency and the nodal regression rate, and 3) the apsidial regression rate. A KAM tori model fit to the satellite data could be used to predict future satellite locations. This model would allow rapid determination with fewer computational requirements than the typical method of integrating through an orbit.
AFIT Designator
AFIT-GA-ENY-08-M09
DTIC Accession Number
ADA481056
Recommended Citation
Derbis, Rachel M., "Modeling GPS Satellite Orbits Using KAM Tori" (2008). Theses and Dissertations. 2704.
https://scholar.afit.edu/etd/2704