The gravitational wave signal from diverse populations of double white dwarf binaries in the Galaxy

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Volume 521 (October 2010)

A&A, 521 (2010) A85

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Table 1:

Density laws and associated parameters.
	Density law	Constants	$\rho_{\rm c}$
		(kpc)	( $M_{\odot}~\rm pc^{-3}$ )
Bulge	${\rm e}^{-(r/r_{0})^{2}}$	r₀=0.5	$\frac{M_{\rm b}}{4\pi r_{0}^{3}}=12.73$
Thin disc	${\rm e}^{-R/h_{R}}\textrm{sech}^{2}(-z/h_{z})$	h_R=2.5	$\frac{M_{\rm tn}}{4\pi h_{R}^{2}h_{z}}=1.881$
		h_z=0.352
Thick disc	${\rm e}^{-R/h_{R}}{\rm e}^{-z/h'_{z}}$	h_R = 2.5	$\frac{M_{\rm tk}}{4\pi h_{R}^{2}h'_{z}}=0.0286$
		h'_z=1.158
Halo	$[(1+(\frac{a}{a_{0}})^{2})]^{-1}$	a₀ = 2.7	0.108

Notes. r is the spherical radius from the center of the Galaxy and r₀ is bulge scale length; R and z are the natural cylindrical coordinates of the axisymmetric disc, h_R is the scale length of the disc, h_z is the scale height of the thin disc, h'_z is the scale height of the thick disc; a is the radius of the halo and a₀is a constant; $\rho_{\rm c}$ is the central mass density.

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