An analytical method for determining the orientation of unstabilized satellites with slight perturbations. I

Details An analytical method for determining the orientation of unstabilized satellites with slight perturbations. I An analytical method for determining the orientation of unstabilized satellites with slight perturbations. I

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977kosis..15..363g&link_type=abstract

Kosmicheskie Issledovaniia, vol. 15, May-June 1977, p. 363-375. In Russian.

Computer Science

Satellite Orientation, Satellite Rotation, Statistical Analysis, Algorithms, Geocentric Coordinates, Iterative Solution, Nonlinear Systems, Partial Differential Equations, Perturbation Theory

Scientific paper

A nonlinear statistical method is presented for successive approximation of parameters of rotational motion in unstabilized, slightly perturbed satellites. The motion of the center of mass of the satellites is assumed to be known and given in an absolute geocentric coordinate system. Two additional coordinate systems are used to describe the rotational motion of the satellite: a Konig system with its axes parallel to corresponding axes of the geocentric system, and an associated coordinate system with its axes directed along the main axes of inertia of the satellite. The rotation of the satellite is approximated by unperturbed Euler-Poincot motion. Using measurements of a parameter which is dependent on the orientation of the satellite in absolute space, the matrix of transition from the Konig coordinate system to the associated coordinate system is found. A computer algorithm using this model is presented, and errors associated with the method are analyzed.

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