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Verification of KAM Theory on Earth Orbiting Satellites
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH DEPT OF AERONAUTICS AND ASTRONAUTICS
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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 AGISatellite 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.
APPROVED FOR PUBLIC RELEASE