Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Escape in Hill's Problem   This didactic paper is motivated by the problem of understanding how stars
escape from globular star clusters. One formulation of this problem is known,
in dynamical astronomy, as Hill's problem. Originally intended as a model for
the motion of the moon around the earth with perturbations by the sun, with
simple modifications it also serves as a model for the motion of a star in a
star cluster with perturbations by the galaxy.
  The paper includes introductory sections on the derivation of the equations
of motion of Hill's problem, their elementary properties, and extensions to
deal with non-point masses and non-circular orbits. We then show how the rate
of escape may be calculated numerically and estimated theoretically, and
discuss how this simple picture is modified if the stars in a cluster are also
undergoing two-body relaxation. Finally we introduce some established ideas for
obtaining the distribution of escape times.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg