Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pulsar Timing Constraints on Cumulative and Individual Mass of Stars in
  the Galactic Center   We consider the time derivatives of the period $P$ of pulsars at the Galactic
Center due to variations in their orbital Doppler shifts. We show that in
conjunction with a measurement of a pulsar's proper motion and its projected
separation from the supermassive black hole, Sgr A*,measuring two of the three
derivatives $\dot{P}$, $\ddot{P}$, or $\dddot{P}$ sets a constraint that allows
for the recovery of the complete six phase space coordinates of the pulsar's
orbit, as well as the enclosed mass within the orbit. Thus, one can use
multiple pulsars at different distances from Sgr A* to determine the radial
mass distribution of stars and stellar remnants at the Galactic center.
Furthermore, we consider the effect of passing stars on the pulsar's period
derivatives and show how it can be exploited to measure the characteristic
stellar mass in the Galactic Center.

16
The categories of this paper are: stat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph