Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of J2-Invariant Periodic Relative Motion in Highly
  Elliptical Orbits   Two satellites with mean orbital elements which differ only in terms of right
ascension of the ascending node, argument of perigee, and mean anomaly are
notable for having the same mean orbital element secular drift rates due to the
J2 perturbation. The relative orbits which result from this configuration are
discounted in the literature for not providing sufficiently many degrees of
freedom with which to design relative orbit geometries suitable for real world
missions. However, this paper will explore a variety of useful geometries which
result from this limited design space, and provide analytical formulas for the
differences between chief and deputy mean orbital elements as a function of the
desired orbit geometry and inertial chief orbit. These include
in-track-centered, quadrant-time-centered, offset-circular, rectilinear,
boomerang-shaped, and cross-track only geometries.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex