Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66.1093p&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Sept.-Oct. 1989, p. 1093-1099. In Russian.
Astronomy and Astrophysics
Astronomy
Artificial Satellites, Celestial Mechanics, Earth Orbits, Orbit Calculation, Satellite Orbits, Iterative Solution, Perturbation Theory, Trajectory Analysis
Scientific paper
A method for calculating the position and velocity vectors of the unperturbed trajectories of artificial earth satellites using measurements of time and angular coordinates with KS variables is presented. The method can be applied to small (1 deg), medium, and large (360 deg) orbital arcs, to the curved and straight motions of satellites, and to their infinite and finite motions. Formulas are obtained for estimating the domain of convergence in which a unique solution of the problem posed exists, as well as for estimating the rate of convergence for arbitrary values of iterated parameters.
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