Abstract The fundamental solutions of the Tschauner–Hempel equations, which describe the motion of a deputy satellite relative to a chief satellite with arbitrary eccentricity, are interpreted geometrically as generalizations of the drifting two-by-one ellipse that describes relative motion in circular orbits. General solutions are formed by taking linear combinations of these fundamental solutions. The amplitudes of these fundamental solutions are proposed as a parameterization of relative motion in elliptic orbits. A simple maneuver scheme is also developed to achieve arbitrary desired changes in the fundamental-solution amplitudes.


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    Title :

    Geometric interpretation of the Tschauner–Hempel solutions for satellite relative motion


    Contributors:

    Published in:

    Advances in Space Research ; 55 , 9 ; 2268-2279


    Publication date :

    2015-01-27


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English








    Guidance, Navigation and Control for Satellite Proximity Operations using Tschauner-Hempel Equations

    Okasha, M. / Newman, B. / American Institute of Aeronautics and Astronautics; Conferderation of European Aerospace Societies | British Library Conference Proceedings | 2011