Finite Set Statistics on Manifolds for Space Object Detection, Tracking, Identification and Characterization
Technical Report,01 Dec 2015,30 Nov 2017
The University of Leeds Leeds United Kingdom
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New statistical methods have been developed to improve the treatment of uncertainty in space situational awareness. First a Fisher-Bingham-Kent FBK distribution on the unit sphere has been developed to describe uncertainty in angles-only position for a propagated space object. This distribution has been applied to association problems. Second a new adapted structural AST coordinate system has been developed to represent the uncertainty of a state vector. Uncertainty in AST coordinates is approximately Gaussian under a wide set of circumstances and this property facilitates the construction of an unscented Kalmanlter for the filtering problem.