Abstract Kolmogorov, Arnold, and Moser predicted that trajectories in lightly perturbed Hamiltonian systems should lie on tori, now known as KAM tori. In this paper we explore the possibility that this is the case for Earth orbits perturbed by the entire geopotential. Methods for determining the torus frequencies and coordinate Fourier series are developed. The basis frequencies of the torus can be identified to very high accuracy in a finite integration. Fitting Fourier series is computationally expensive, but can be used to confirm that a KAM torus exists. Many Earth orbits seem to lie on such tori.
Earth satellite orbits as KAM tori
2008
Article (Journal)
English
Earth Satellite Orbits as KAM Tori
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