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%       Proposal of contributed paper to the
%          IAU SYMPOSIUM 172 (July 1995)
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%         Y. Barkin, J.M. Ferrandiz and J. Getino
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\documentstyle[12pt]{article}
\begin{document}
\author{Y. Barkin\thanks{Escuela Polit\'ecnica Superior, Universidad
de Alicante, E-03080 Alicante, Spain}, J.M. Ferr\'andiz\footnotemark[1]
and J. Getino\thanks{Grupo de Mec\'anica Celeste, Departamento de
Matem\'atica Aplicada Fundamental,
Facultad de Ciencias, Universidad de Valladolid, E-47005 Valladolid, Spain.}}
\title{About applications angle-action variables in rotation dynamics of the
deformable celestial bodies}
\maketitle
\begin{abstract}
For the investigation of the rotational motion of deformable (elastic)
celestial bodies the special forms of the equations in angle--action
variables are suggested: these angle--action variables are introduced on the
basis of the integrable problem about the rotation of some isolated elastic
body deformed by its own rotation. For this purpose we use canonical
equations in elastic Andoyer variables which were introduced by Getino and
Ferr\'andiz (1995) in the problem of the rotation of the deformable Earth.

In a particular case (very important for the investigation of the rotational
motion of the Earth and others bodies) the unperturbed integrable problem is
reduced to Euler integrable case but with no--constant moments of inertia.
As result we get new forms of the equations for the rotational motion of the
deformable body and wide list formulae for construction of an analytical
theory of the rotational motion of the celestial body deformed by tidal
attraction of external bodies and by its own rotation. We use this theory
for the construction of a new analytical theory of the perturbed rotational
motion of the elastic Earth.
\end{abstract}
\begin{thebibliography}{9}
\bibitem{}  Getino, J. and Ferr\'andiz, J.M.: 1995, {\it Celes. Mech.}, {\bf %
61}, 117--180
\end{thebibliography}
\end{document}
