YusifovKucuk2004

class gammapy.astro.population.YusifovKucuk2004(amplitude=1, a=1.64, b=4.01, r_1=0.55, **kwargs)

Bases: astropy.modeling.Fittable1DModel

Radial distribution of the surface density of pulsars in the galaxy - Yusifov & Kucuk 2004.

\[f(r) = A \left ( \frac{r + r_1}{r_{\odot} + r_1} \right )^a \exp \left [-b \left( \frac{r - r_{\odot}}{r_{\odot} + r_1} \right ) \right ]\]

Used by Faucher-Guigere and Kaspi. Density at r = 0 is nonzero.

Reference: http://adsabs.harvard.edu/abs/2004A%26A...422..545Y (Formula (15))

Parameters:

amplitude : float

See model formula

a : float

See model formula

b : float

See model formula

r_1 : float

See model formula

See also

CaseBattacharya1998, Paczynski1990, Lorimer2006, YusifovKucuk2004B, FaucherKaspi2006, Exponential

Attributes Summary

a
amplitude
b
evolved
param_names
r_1

Methods Summary

evaluate(r, amplitude, a, b, r_1)

One dimensional Yusifov & Kucuk 2004 model function

Attributes Documentation

a

amplitude

b

evolved = True

param_names = ('amplitude', 'a', 'b', 'r_1')

r_1

Methods Documentation

static evaluate(r, amplitude, a, b, r_1)

One dimensional Yusifov & Kucuk 2004 model function