NASA STI Repository (National Aeronautics and Space Administration) · 1993 · 165 citations · 0 references
Open access
EngineeringMechatronics EngineeringCelestial MechanicsGlobal Navigation Satellite SystemsOptimizationAttitude ControlAttitude DeterminationData AssimilationMatrix ComputationPose EstimationState EstimationAttitude Determination AlgorithmsAttitude Determination SystemsAttitude EstimationCovariance Matrix EstimationOptimal Attitude EstimationOrientation EstimationSpacecraft Attitude Estimation
The attitude matrix minimizing Wahba's loss function is computed directly by a method that is competitive with the fastest known algorithm for finding this optimal estimate. The method also provides an estimate of the attitude error covariance matrix. Analysis of the special case of two vector observations identifies those cases for which the TRIAD or algebraic method minimizes Wahba's loss function.