Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Limits on Planar Libration-Orbit Coupling Around an Oblate
  Primary   This paper explores the dynamic properties of the planar system of an
ellipsoidal satellite in an equatorial orbit about an oblate primary. In
particular, we investigate the conditions for which the satellite is bound in
librational motion or when the satellite will circulate with respect to the
primary. We find the existence of stable equilibrium points about which the
satellite can librate, and explore both the linearized and non-linear dynamics
around these points. Absolute bounds are placed on the phase space of the
libration-orbit coupling through the use of zero-velocity curves that exist in
the system. These zero-velocity curves are used to derive a sufficient
condition for when the satellite's libration is bound to less than 90 degrees.
When this condition is not satisfied so that circulation of the satellite is
possible, the initial conditions at zero libration angle are determined which
lead to circulation of the satellite. Exact analytical conditions for
circulation and the maximum libration angle are derived for the case of a small
satellite in orbits of any eccentricity.

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin