Physics
Scientific paper
Nov 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981kosis..19..941b&link_type=abstract
Kosmicheskie Issledovaniia, vol. 19, Nov.-Dec. 1981, p. 941-943. In Russian.
Physics
Artificial Satellites, Earth Orbits, Orbit Perturbation, Orbital Position Estimation, Prediction Analysis Techniques, Runge-Kutta Method, Eccentric Orbits, Equations Of Motion, Motion Stability, Numerical Stability, Spacecraft Motion
Scientific paper
Results are presented on the use of high-order Runge-Kutta methods for the numerical prediction of satellite orbits, with allowance for perturbations. An analysis is presented of the effectiveness of Runge-Kutta methods in the integration of the classical Newtonian equations of satellite motion, and equations of motion stabilized with the Kustaanheimo-Stiefel transformation. It is shown that the use of the high-order Runge-Kutta methods makes it possible to increase the position-prediction accuracy by two to three orders of magnitude. The regularizing and stabilizing transformations give good results for low-eccentricity orbits and for orbits with eccentricities close to unity.
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