This paper analyzes the relative motion between two spacecraft in orbit. Specifically, the paper provides bounds for relative spacecraft velocity- based measures which impact spacecraft formation-flight mission design and analysis. The relative speed metric, and velocity components for formation-flight are presented for general Keplerian elliptic orbits along with the range rate metric for certain special cases. A methodology for bounding the metrics is presented. The extremal equations are formulated as an affine variety and solved using a Gröbner basis reduction. The metrics have utility to the mission designer of formation flight architectures, with relevance to Earth observation constellations and inter-satellite communications systems.


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    Title :

    Velocity Extrema in Keplerian Relative Motion: A Gröbner Basis Approach


    Additional title:

    J Astronaut Sci


    Contributors:

    Published in:

    Publication date :

    2021-12-01


    Size :

    20 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






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