%                         Slawomir Breiter
%                         breiter@phys.amu.edu.pl
\documentstyle{article}
\title{The theory of motion of JV Amalthea}
\author{S\l awomir Breiter \\
\small Astronomical Observatory of the A.Mickiewicz
University \\ \small Pozna\'n , Poland }
\date{}
\begin{document}
\maketitle
The analytical solution for the motion of Jupiter's satellite
Amalthea is constructed up to the third order of a small 
parameter. The gravitational actions taken into account
are: the potential of Jupiter, the Galilean satellites'
perturbations and the action of the Sun. The internal
accuracy of the obtained solution is of the order of
hundreds of meters on the time span of 100 years.
No long-periodic effects comparable with the observed
motion of Amalthea exist in the analytical solution.
Tidal effects are discussed as a hypothetical source of
secular acceleration. The general conclusion suggests the need
of a new reduction of the observational material covering
the whole interval from 1892 until now.
\end{document}
