CaseBattacharya1998

class gammapy.astro.population.CaseBattacharya1998(amplitude=1.0, alpha=2, beta=3.53, **kwargs)

Bases: astropy.modeling.Fittable1DModel

Radial distribution of the surface density of supernova remnants in the galaxy - Case & Battacharya 1998.

\[f(r) = A \left( \frac{r}{r_{\odot}} \right) ^ \alpha \exp \left[ -\beta \left( \frac{ r - r_{\odot}}{r_{\odot}} \right) \right]\]

Reference: http://adsabs.harvard.edu//abs/1998ApJ...504..761C (Formula (14))

Parameters:

amplitude : float

See model formula

alpha : float

See model formula

beta : float

See model formula

See also

Paczynski1990, YusifovKucuk2004, Lorimer2006, YusifovKucuk2004B, FaucherKaspi2006, Exponential

Attributes Summary

alpha
amplitude
beta
evolved
param_names

Methods Summary

evaluate(r, amplitude, alpha, beta)

One dimensional Case & Battacharya 2006 model function

Attributes Documentation

alpha

amplitude

beta

evolved = True

param_names = ('amplitude', 'alpha', 'beta')

Methods Documentation

static evaluate(r, amplitude, alpha, beta)

One dimensional Case & Battacharya 2006 model function