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.


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    Titel :

    Optimal Impulsive Collision Avoidance in Low Earth Orbit


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2015-01-02


    Format / Umfang :

    9 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Optimal Impulsive Collision Avoidance in Low Earth Orbit

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    Correction: Optimal Impulsive Collision Avoidance in Low Earth Orbit

    Bombardelli, Claudio / Hernando-Ayuso, Javier | AIAA | 2019



    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