The probability of collision of two solid satellites, one of which is a parallelepiped and the other is a parallelepiped or a small sphere, is computed under the assumptions of short-term encounter. The probability is given by the integral of the relative position probability density over a region of the collision plane. This region is the Minkowski sum of the projections of the objects’ shapes onto the collision plane. The integration is the only step that cannot be done analytically. When the position probability densities are Gaussians, a very fast and accurate algorithm found in the literature can be applied after several transformations have been performed to the integration region. A comparison against several current methods has been included. When a parallelepiped is involved, the presented method is advantageous with respect to the existing ones.
Short-Term Collision Probability Algorithm for Parallelepiped-Shaped Satellites
Journal of Guidance, Control, and Dynamics ; 45 , 6 ; 1093-1107
2022-01-13
15 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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