Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A semi-analytical model of the Galilean satellites' dynamics   The Galilean satellites' dynamics has been studied extensively during the
last century. In the past it was common to use analytical expansions in order
to get simple models to integrate, but with the new generation computers it
became prevalent the numerical integration of very sophisticated and almost
complete equations of motion. In this article we aim to describe the resonant
and secular motion of the Galilean satellites through a Hamiltonian, depending
on the slow angles only, obtained with an analytical expansion of the
perturbing functions and an averaging operation. In order to have a model as
near as possible to the actual dynamics, we added perturbations and we
considered terms that in similar studies of the past were neglected, such as
the terms involving the inclinations and the Sun's perturbation. Moreover, we
added the tidal dissipation into the equations, in order to investigate how
well the model captures the evolution of the system.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an