EinastoProfile¶

class gammapy.astro.darkmatter.profiles.EinastoProfile(r_s=None, alpha=None, rho_s=<Quantity 1. GeV / cm3>)[source]¶

Einasto Profile.

\[\rho(r) = \rho_s \exp{ \left(-\frac{2}{\alpha}\left[ \left(\frac{r}{r_s}\right)^{\alpha} - 1\right] \right)}\]

Parameters:

r_s : Quantity

Scale radius, \(r_s\)

alpha : Quantity

\(\alpha\)

rho_s : Quantity

Characteristic density, \(\rho_s\)

References

Attributes Summary

`DEFAULT_ALPHA`	Default scale radius as given in reference 2
`DEFAULT_SCALE_RADIUS`	Default scale radius as given in reference 2
`DISTANCE_GC`
`LOCAL_DENSITY`

Methods Summary

`__call__`(radius)	Call evaluate method of derived classes.
`evaluate`(radius, r_s, alpha, rho_s)
`integral`(rmin, rmax, **kwargs)	Integrate squared dark matter profile numerically.
`scale_to_local_density`()	Scale to local density.

Attributes Documentation

DEFAULT_SCALE_RADIUS = <Quantity 28.44 kpc>¶: Default scale radius as given in reference 2

Methods Documentation

integral(rmin, rmax, **kwargs)¶

Integrate squared dark matter profile numerically.

\[F(r_{min}, r_{max}) = \int_{r_{min}}^{r_{max}}\rho(r)^2 dr\]

Parameters:

rmin, rmax : Quantity

Lower and upper bound of integration range.

**kwargs : dict

Keyword arguments passed to integrate_spectrum()