This analysis estimates collision risks between tracked satellites based on the statistically expected collision rate _Nc and number of collisions Nc, which are closely related to the collision probability Pc. For isolated encounters, Nc equals Pc. For multi-encounter interactions, Nc can exceed Pc and is significantly easier to approximate semi-analytically. Estimating Nc requires integrating the collision rate over time throughout an interaction, with each required _Nc value calculated as a statistical expectation value based on the uncertainty distributions of initial orbital states. The uncertainty distributions are estimated from orbit determination analyses of satellite trajectory measurements. The formulation accounts for the nonlinear orbital motion of the satellites, and derives Nc and _Nc expressions for Monte Carlo simulations as well as semi-analytical approximations for single- and multi-encounter interactions.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    Expected Collision Rates for Tracked Satellites


    Contributors:


    Publication date :

    2021-01-31




    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English




    Expected Collision Rates for Tracked Satellites

    Hall, Doyle T. | AIAA | 2021

    Free access

    How to improve the orbit of Doppler tracked satellites

    Lansard, Erick | Online Contents | 1994




    Collision Damage to Nuclear Satellites

    Atkinson, D. / Block, K. / Coombs, C. et al. | British Library Conference Proceedings | 1992