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Taking into account the planetary perturbations in the Moon's theory

T. V. Ivanova

Proceedings of the Journées 2011 "Systèmes de Référence Spatio-Temporels", H. Schuh, S. Böhm, T. Nilsson and N. Capitaine (eds), Vienna University of Technology, 209-212 (2012)

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The semi–analytical Moon’s theory is treated in the form compatible with the general planetary theory GPT (Brumberg, 1995). The Moon is considered to be an additional planet in the field of eight major planets. Hence, according to the technique of the GPT, the theory of the orbital lunar motion can be presented by means of the series in the evolutionary eccentric and oblique variables with quasi-periodic coefficients in mean longitudes of the planets and the Moon. The time dependence of the evolutionary variables is determined by the trigonometric solution of the autonomous secular system describing the secular motions of the lunar perigee and node with taking into account the secular planetary inequalities. In this paper the right–hand members of the secular system are obtained in the analytical form. All the analytical calculations are performed by the echeloned Poisson series processor EPSP (Ivanova, 2001).