Progress in the analytical theories for the orbital motion of the moon

Computer Science – Numerical Analysis

Scientific paper

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Earth Orbits, Moon, Orbit Calculation, Orbit Perturbation, Perturbation Theory, Relativistic Effects, Computer Techniques, Ephemerides, Numerical Analysis, Numerical Integration, Moon, Motion, Orbits, Analysis, Theoretical Studies, Comparisons, Shape, Main Problem, Earth-Moon System, Perturbations, Review, Techniques

Scientific paper

After a brief review of the historical background, the paper considers recent attempts to produce new and precise analytical solutions for the moon's orbital motion. Modern solutions for the main problem developed by Eckert and Smith (1966), Henrard (1979), Gutzwiller (1979), and Chapront-Touze (1980) are considered. Attention is given to the influence of the shape of the earth and moon, planetary perturbations, relativistic effects, and the constants.

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