Patent ID: 7383153
Filing Date: 2008-06-03
Classification: B64G,G01S,G08G

Abstract:
1. A method for determining maximum conjunction probability of rectangular-shaped objects, comprising: getting primary and secondary object dimensions ht, wd, lt where lt≧wd≧ht; computing a combined object radius OBJ as where one-half of a diagonal for a rectangular solid encompassing the primary object is denoted as r 1 , where and a greatest half-width (r 1p ) perpendicular to r 1 is one-half of a diagonal for a rectangular solid encompassing the secondary object is denoted as r 2 , where and a half-width (r 2p ) perpendicular to r 2 is computing a width factor (w) as projecting relative positions of the primary and secondary objects onto an encounter plane to compute a miss distance (dist); obtaining a combined covariance aspect ratio (AR); and computing a maximum conjunction probability (P where x and y are variables of integration in the encounter plane such that x lies along a major axis of the combined object radius OBJ, y lies along a minor axis of the combined object radius OBJ, and σ y is a covariance standard deviation along the minor axis in the encounter plane.