A decomposition method applied in the problem of near-planetary astronavigation using pseudostars

Mathematics

Scientific paper

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Autonomous Navigation, Celestial Navigation, Reference Stars, Space Navigation, Decomposition, Diameters, Matrices (Mathematics), Planetology, Zenith

Scientific paper

The paper examines the problem of measurement-space decomposition in the problem of near-planetary astronavigation including the zenith distances of two stars and the angular diameter of the planet. Particular attention is given to the decomposition of the state space into a four-dimensional space of in-plane motion parameters and a two-dimensional subspace of out-of-plane motion parameters. From measurements of the zenith distances of two sighted stars, there is a transition to the zenith distances of two pseudostars, the direction to the first of which coincides with the current transversal, while the direction to the second coincides with a binormal to the plane of the a priori orbit. The in-plane parameters are determined from measurements of the zenith distance of the first pseudostar and the angular diameter of the planet, while the out-of-plane parameters are determined from measurements of the zenith distance of the second pseudostar.

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