Modeling GPS Satellite Orbits Using KAM Tori

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2008
Accession Number
ADA481056

Entities

People

  • Rachel M. Derbis

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Altitude
  • Artificial Satellites
  • Astronautics
  • Coordinate Systems
  • Data Analysis
  • Global Navigation Satellite Systems
  • Global Positioning Systems
  • N Body Problem
  • Navigation Satellites
  • Orbital Elements
  • Orbits
  • Satellite Constellations
  • Satellite Orbits
  • Space Objects
  • Spacecraft Orbits
  • Three Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Positioning, Navigation, and Timing (PNT) Technology.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris