Comparison of models of the physical libration of the moon with application to the problem of determining the position of a spacecraft with respect to the moon

Computer Science – Numerical Analysis

Scientific paper

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Libration, Lunar Orbits, Lunar Spacecraft, Orbital Position Estimation, Spacecraft Orbits, Orbital Elements, Orbital Velocity, Spaceborne Experiments

Scientific paper

Results of a numerical analysis relating to the comparison of eight physical libration models of the moon are presented. It is shown that the accuracy of spacecraft position determination with respect to the moon is about 2.5 km in position and 0.6 m/s in velocity when simple Eckhardt (1970) models are used, and 10 m and 0.01 m/s when high-accuracy Eckhardt (1981) models are used. The dependence of the error distribution on time and spacecraft altitude is determined, and recommendations on the use of specific models at different stages of space experiments are given.

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