Semianalytical method for calculating the motion of artificial lunar satellites

Computer Science

Scientific paper

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Lunar Satellites, Orbit Calculation, Perturbation Theory, Satellite Orbits, Spacecraft Trajectories, Algorithms, Computer Programs, Harmonic Analysis, Lunar Gravitation, Orbit Perturbation, Partial Differential Equations, Tesseral Harmonics

Scientific paper

On the basis of perturbation theory, a semianalytical method for calculating the motion of lunar satellites is developed which permits the influence of an arbitrary number of harmonics in a series expansion of the lunar potential to be calculated in spherical functions. The method is shown to be valid for determining orbits with practically any parameters. A special procedure is described and tested which is used for processing and executing analogous calculation methods on a computer. The algorithm is applied in the form of an ALGOL program, and its experimental verification is carried out. Estimates are made for the necessary computer time and accuracy of a calculation of lunar-satellite coordinates.

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