Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correcting velocity dispersions of dwarf spheroidal galaxies for binary
  orbital motion   We show that measured velocity dispersions of dwarf spheroidal galaxies from
about 4 to 10 km/s are unlikely to be inflated by more than 20% due to the
orbital motion of binary stars, and demonstrate that the intrinsic velocity
dispersions can be determined to within a few percent accuracy using two-epoch
observations with 1-2 years as the optimal time interval. The crucial
observable is the threshold fraction--the fraction of stars that show velocity
changes larger than a given threshold between measurements. The threshold
fraction is tightly correlated with the dispersion introduced by binaries,
independent of the underlying binary fraction and distribution of orbital
parameters. We outline a simple procedure to correct the velocity dispersion to
within a few percent accuracy by using the threshold fraction and provide
fitting functions for this method. We also develop a methodology for
constraining properties of binary populations from both single- and two-epoch
velocity measurements by including the binary velocity distribution in a
Bayesian analysis.

27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg