New approach to determining planetary perturbations in lunar theory

Astronomy and Astrophysics – Astronomy

Scientific paper

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Eccentric Orbits, Equations Of Motion, Lunar Orbits, Orbit Perturbation, Orbital Mechanics, Planetary Orbits, Celestial Mechanics, Harmonic Analysis, Iterative Solution, Orbit Calculation, Orbital Elements, Perturbation Theory, Moon, Motion, Perturbations, Planets, Theoretical Studies, Orbits, Techniques, Mathematical Models, Equations Of Motion

Scientific paper

The technique of the general planetary theory has been proposed for constructing a theory of motion of the moon. This method enables us to elaborate the consistent theory of motion of the principal planets and the moon, which is of particular importance for determining planetary perturbations in lunar motion. As an initial approximation for lunar motion, an intermediate orbit generalizing the Hill's variational curve has been built. This orbit includes all solar and planetary inequalities independent of eccentricities and inclinations of the moon, sun and planets. In calculating this orbit, the motion of the principal planets in quasi-periodic intermediate orbits has been taken into account. This solution was produced with the aid of the Universal Poissonian Processor (UPP) elaborated in the Institute for Theoretical Astronomy (Leningrad).

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