Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction the secular solution to the periodic solution in the
  generalized restricted three-body problem   The aim of the present work is to reduce the secular solution around the
triangular equilibrium points to periodic solution in the frame work of the
generalized restricted thee-body problem. This model is generalized in sense
that both the primaries are oblate and radiating as well as the gravitational
potential from a belt. We show that the linearized equation of motion of the
infinitesimal body around the triangular equilibrium points has a secular
solution when the value of mass ratio equals the critical mass value. Moreover,
we reduce this solution to periodic solution, as well as some numerical and
graphical investigations for the effects of the perturbed forces are
introduced. This model can be used to examine the existence of a dust particle
near the triangular points of an oblate and radiating binary stars system
surrounded by a belt.

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics