A new procedure for deriving strapdown attitude algorithms, suggested earlier by the authors, is examined for the more general cases of motion inputs: regular precession and stochastic angular motion. It is shown analytically, with a new procedure, that the coefficients optimized for classical coning hold true for the motions under consideration as well. The contribution of the third term in the rotation vector differential equation, which is conventionally discarded, is studied. The condition of the need for its inclusion to make the algorithm optimal is stated. The simulation results of the nontruncated algorithm with the optimized coefficients are presented and discussed.
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