Verification of KAM Theory on Earth Orbiting Satellites

Abstract

This paper uses KAM torus theory and Simplified General Perturbations 4 (SGP4) orbit prediction techniques compiled by Dr. William Wiesel and compares it to Analytical Graphics Incorporated (AGI)Satellite Toolkit (STK) orbit data. The goal of this paper is to verify KAM torus theory can be used to describe and propagate an Earth satellite orbit with similar accuracy to existing general perturbation techniques. Using SGP4 code including only truncated geopotential effects, KAM torus generating code, and other utilities were used to describe a particular satellite orbit as a torus and then propagate the satellite using traditional and KAM torus techniques. These results were compared with similar data generated from initial conditions in STK. Comparisons show orbit prediction for this particular satellite can be made with low kilometer level accuracy. It is claimed with increased mathematical precision and orbital model detail, KAM torus theory applied to orbit prediction techniques can produce more accurate results than currently achievable.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2010
Accession Number
ADA516832

Entities

People

  • Christian L. Bisher

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Artificial Satellites
  • Computational Science
  • Computer Programs
  • Coordinate Systems
  • Differential Equations
  • Earth Orbits
  • Energy
  • Equations Of Motion
  • Graphics
  • Orbital Elements
  • Orbits
  • Potential Energy
  • Satellite Orbits
  • Space Objects
  • Trajectories

Readers

  • Computational Modeling and Simulation
  • Space Exploration and Orbital Mechanics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris