This paper presents a high-accuracy fully analytical formulation to compute the miss distance and collision probability of two approaching objects following an impulsive collision avoidance maneuver. The formulation hinges on a linear relation between the applied impulse and the objects' relative motion in the b-plane, which allows one to formulate the maneuver optimization problem as an eigenvalue problem coupled to a simple nonlinear algebraic equation. The optimization criterion consists of minimizing the maneuver cost in terms of delta-V magnitude to either maximize collision miss distance or to minimize Gaussian collision probability. The algorithm, whose accuracy is verified in representative mission scenarios, can be employed for collision avoidance maneuver planning with reduced computational cost when compared with fully numerical algorithms. Presented at the 24th AAS/AIAA Space Flight Mechanics Meeting, Santa Fe, NM, 26-30 January 2014


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    Title :

    Optimal Impulsive Collision Avoidance in Low Earth Orbit



    Published in:

    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    Local classification TIB:    770/7040
    BKL:    55.54 Flugführung



    Optimal Impulsive Collision Avoidance in Low Earth Orbit

    Bombardelli, Claudio / Hernando-Ayuso, Javier | AIAA | 2015


    Correction: Optimal Impulsive Collision Avoidance in Low Earth Orbit

    Bombardelli, Claudio / Hernando-Ayuso, Javier | AIAA | 2020



    Optimal Impulsive Collision Avoidance (AAS 13-436)

    Bombardelli, C. / American Astronautical Society / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2013


    On-orbit risk reduction — collision avoidance

    Klinkrad, H | SAGE Publications | 2007