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.


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    Title :

    Earth satellite orbits as KAM tori


    Contributors:


    Publication date :

    2008




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik
    Local classification TIB:    770/7040



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