This paper presents a new approach to the computation of the motion of one satellite relative to another. The trajectory of the reference satellite is computed accurately subject to geopotential perturbations. This precise trajectory is used as a reference in computing the position of a nearby body, or bodies. The problem that arises in this approach is differencing nearly equal terms in the geopotential model, especially as the separation of the reference and nearby bodies approaches zero. By developing closed form expressions for differences in higher order and degree geopotential terms, the numerical problem inherent in the differencing approach is eliminated.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    Relative motion using analytical differential gravity


    Contributors:


    Publication date :

    1988-09-01


    Type of media :

    Conference paper


    Type of material :

    No indication


    Language :

    English


    Keywords :



    Periodic Relative Motion Near a Keplerian Elliptic Orbit with Nonlinear Differential Gravity

    Prasenjit Sengupta / Rajnish Sharma / Srinivas Vadali | AIAA | 2006


    Periodic Relative Motion Near a Keplerian Elliptic Orbit With Nonlinear Differential Gravity (AAS 06-162)

    Sengupta, P. / Vadali, S. R. / American Astronautical Society | British Library Conference Proceedings | 2006



    Analytical models for relative motion under constant thrust

    VAN DER HA / J. / MUGELLESI, R. | AIAA | 1990