sigmasq¶

halotools.jeans.sigmasq(rr, nsat, massprof, rr_compute)[source] [edit on github]¶

3d velocity dispersion profile of a tracer population, computed by integrating dsigmasq:

$\sigma^2(r|M) = \frac{1}{N_{sat}(r|M)}\int_{r}^{\infty}dr'\frac{d\sigma^{2}(r'|M)}{dr'}$

Parameters:

rr : array_like

An array with radii at which the the number density distribution of satellites $N_{sat}(r)$ and the mass profile $M(<r)$ are calculated

nsat : array_like

Number density of satellites at the input radii rr

massprof : array_like

Mass within a given radius r

rr_compute : array_like

Radii at which sigma^2 should be computed

Returns:

res_arr : array_like

$\sigma^{2}$ (rr_compute | nsat, massprof), returned in units of (km/s)^2