Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New phenomenons in the spatial isosceles three-body problem   In this work, we study the periodic orbits in the spatial isosceles
three-body problem. These periodic orbits form a one-parameter set with a
rotation angle $\theta$ as the parameter. Some new phenomenons are discovered
by applying our numerical method. The periodic orbit coincides with the planar
Euler orbit when $0 < \theta \leq 0.32 \pi$ and it changes to a spatial orbit
when $0.33 \pi \leq \theta < \pi$. Eventually, the spatial orbit becomes a
planar collision orbit when $\theta=\pi$. Furthermore, an oscillated behavior
is found when $\theta=\pi/2$, which is chaotic but bounded under a small
perturbation. As another application of our numerical method, 7 new periodic
orbits are presented in the end.

2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph