Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Are semi-numerical methods an effective tool for locating periodic
  orbits in 3D potentials?   A semi-numerical method is used in order to locate the position and calculate
the period of periodic orbits in a 3D composite bisymmetrical potential, in a
number of resonant cases. The potential consists of a 3D harmonic oscillator
and a Plummer sphere. The outcomes are compared with results found using the
numerical integration of the equations of motion and the agreement is very
good. This agreement strongly suggests, that semi-numerical methods can be used
in order to obtain fast and reliable results regarding the position and period
of the periodic orbits in 3D composite potentials with a harmonic oscillator
part and different kinds of perturbations. Comparison with other methods of
obtaining 3D periodic orbits is discussed.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th