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\title{Analytical tables of the lunar physical libration}
\author{ Petrova  Natasha \\
Department of Astronomy,  Kazan State University, 18,Lenin str., \\
 Kazan, 420008, Russia\\
E-mail:  nata@astro.kazan.su}
\date{}
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\maketitle

Tables of lunar physical libration defining the analytical dependence upon
the parameters of the lunar gravitational field are presented. The tables
are obtained in frame of the '' main problem'' in lunar libration by
integrating of the Hamilton equations reduced to the harmonic oscillators
equations.

The variables of physical libration $\mu,\nu,\pi$ have been obtained in the
 form of
Poisson series. The distinguishing feature of the tables is that these
series are the analytical extension of semianalytical solution computed
for a number of dynamical parameters LURE2.

A comparison with the Eckhardt's  \cite{Eckh} and Moon's
\cite{Moons}
solution is briefly exposed.
The previously reviled \cite{Pet}
 disagreement ($\simeq 1.^{''}$)
of the mean inclination of
lunar equator to ecliptic with that in Eckhardt's ''solution 500'' has
been remained.

\begin{thebibliography}{15}

\bibitem{Eckh}
Eckhardt D.H.:1981,`Theory of the  libration of the Moon',
{\it The Moon and the Planets},{\bf Vol~25},3.

\bibitem{Moons}
Moons M.:1982,`Analytical theory of libration of the Moon',
{\it The Moon and the Planets},{\bf Vol~27},257.

\bibitem{Pet}
Petrova N.K.: 1993, `Tables of physical libration based on
the Shmidt's theory of lunar motion (main problem)',
{\it Trudy Kazanskoy Observ.}{\bf Vol~53},48 (in Russian).

\end{thebibliography}

\bigskip
 Natasha Petrova , Kazan State University,\\
 18 Lenin str., Kazan, 420008, Russia,\\
 Phone: +7(8432) 38 76 95\\
 Telex: 224853 USOR SU\ \ \ Fax: +7(095) 420 20 12\\
E-mail: nata@astro.kazan.su

\bigskip
The contribution is intended for poster presentation for the topic
''Analytical theories of natural satellites''.

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