Lunar Libration Tables and Determination of Crater Coordinates

Petrova N.

Department of Astronomy, Kazan University,
Lenin str. 18, Kazan, 420008, Russia
E-mail: petrova@astro.ksu.ras.ru

A theory of the physical libration of the Moon, completely analytical with respect to the harmonic coefficients of the lunar gravity field is developed. Analytical parameters are constructed on the analysis of the modern models of Lunar gravitational field. The physical libration variables \mu, \nu, \pi are the angles defining the position of the principal axes of inertia in the uniformly rotating ecliptical coordinate system. The solution for the libration angles is obtained as Poisson series. Numerical values of the parameters of the series are taken from the analytical tables, that represent both semianalytical solution for the dynamical model LURE2 and its analytical extension at a time. In choosing of the most favorable model of Lunar gravitational field the tables allow to make easily an estimate of the influence of variations of dynamical parameters on the physical libration. The tables are more convenient in practical use as compared with the tables of other authors. The libration angles \mu, \nu, \pi are convenient to use for reduction of the calculated coordinates of craters to the observed coordinate system.