Numerical-analytical method for calculating the motion of 12-hour artificial earth satellites in almost-circular orbits

Computer Science – Numerical Analysis

Scientific paper

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Artificial Satellites, Circular Orbits, Numerical Analysis, Orbit Calculation, Equations Of Motion, Gravitational Fields, Numerical Integration, Orbit Perturbation, Perturbation Theory

Scientific paper

The proposed method for calculating the motion of 12-hour satellites in almost-circular orbits is an extension of a method previously developed (Vashkov'iak, 1971) for predicting the motion of stationary satellites. The method involves the analytical study of short-periodic perturbations of orbital elements associated with the orbital motion of the satellite and earth rotation, and the numerical integration of equations free of fast variables. The error associated with predicting the motion of a 12-hour satellite during a time period of 50 days is calculated.

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