Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Stability of Electrostatic Orbits   We analyze the stability of two charged conducting spheres orbiting each
other. Due to charge polarization, the electrostatic force between the two
spheres deviates significantly from $1/r^2$ as they come close to each other.
As a consequence, there exists a critical angular momentum, $L_c$, with a
corresponding critical radius $r_c$. For $L > L_c$ two circular orbits are
possible: one at $r > r_c$ that is stable and the other at $r < r_c$ that is
unstable. This critical behavior is analyzed as a function of the charge and
the size ratios of the two spheres.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph