The generalized Wahba problem

The Generalized Wahba Problem, which can accept as input both measured directions and measured attitudes, is defined and examined in terms of both the attitude profile matrix B and the Davenport matrix K. The possibility of extending the generalization to scalar measurements is also examined. We obtain a number of new results relating these two matrices to the attitude estimate and to the attitude-error covariance matrix. We compare the generalized Wahba problem also with a less restrictive approach to attitude estimation.