Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secular precessing compact binary dynamics, spin and orbital angular
  momentum flip-flops   We derive the conservative secular evolution of precessing compact binaries
to second post-Newtonian order accuracy, with leading-order spin-orbit,
spin-spin and mass quadrupole-monopole contributions included. The emerging
closed system of first-order differential equations evolves the pairs of polar
and azimuthal angles of the spin and orbital angular momentum vectors together
with the periastron angle. In contrast with the instantaneous dynamics, the
secular dynamics is autonomous. This secular dynamics reliably characterizes
the system over timescales starting from a few times the radial period to
several precessional periods, but less than the radiation reaction timescale.
We numerically compare the instantaneous and secular evolutions and estimate
the number of periods for which dissipation has no significant effect, e.g. the
conservative timescale. We apply the analytic equations to study the spin
flip-flop effect, recently found by numerical relativity methods. Our
investigations show that the effect does not generalize beyond its original
parameter settings, although we reveal distinct configurations exhibiting one
half flip-flops. In addition, we find a flip-flopping evolution of the orbital
angular momentum vector, which ventures from one pole to another through
several precessional periods. This is a new effect, occurring for mass ratios
much less than one.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph