Determination of the orientation of a coordinate system according to measurements of specified directions

Details Determination of the orientation of a coordinate system according to measurements of specified directions Determination of the orientation of a coordinate system according to measurements of specified directions

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988kosis..26..840m&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 26, Nov.-Dec. 1988, p. 840-845. In Russian.

Mathematics

Coordinates, Direction, Satellite Orientation, Matrices (Mathematics), Vectors (Mathematics)

Scientific paper

The paper examines the problem of determining the orientation of a coordinate system according to measurements of the projections of vectors specified in a certain initial coordinate system. This problem is important in connection with determining the attitude of a spacecraft according to measurements of directions (e.g., toward a star) as well as vector quantities using instruments on the spacecraft. A covariance analysis of the accuracy of the orientation determination is presented for the case of small rotations in three-dimensional space.

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