Inheritance diagram for GModelSpatialRadialProfileDMZhao::halo_kernel_los:

Public Member Functions
	halo_kernel_los (const double &scale_radius, const double &halo_distance, const double &alpha, const double &beta, const double &gamma, const double &theta, const double &core_radius)

double	eval (const double &los)
	Kernel for zhao halo density profile squared. More...

Public Member Functions inherited from GFunction
	GFunction (void)
	Void constructor. More...

	GFunction (const GFunction &function)
	Copy constructor. More...

virtual	~GFunction (void)
	Destructor. More...

GFunction &	operator= (const GFunction &function)
	Assignment operator. More...

Additional Inherited Members
Protected Member Functions inherited from GFunction
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GFunction &function)
	Copy class members. More...

void	free_members (void)
	Delete class members. More...

Detailed Description

Constructor & Destructor Documentation

GModelSpatialRadialProfileDMZhao::halo_kernel_los::halo_kernel_los	(	const double &	scale_radius,
		const double &	halo_distance,
		const double &	alpha,
		const double &	beta,
		const double &	gamma,
		const double &	theta,
		const double &	core_radius
	)

inline

double GModelSpatialRadialProfileDMZhao::halo_kernel_los::eval ( const double & los )

virtual

Kernel for zhao halo density profile squared.

Parameters

[in] los Distance from observer to point in space (meters)

Computes the value of a zhao halo density profile squared, at distance l from observer, at angle

\[\theta\]

from the halo center, with a halo posessing a scale radius of

\[r_s\]

:

\[ f(\theta, l) = \frac{1}{ g^{\gamma} {\left( g^{\alpha} + 1 \right)}^{ \frac{\beta-\gamma}{\alpha} } } \]

where

\[ g = \frac{ \sqrt{l^2+d^2-2ldCos(\theta)} }{r_s} \]

\[ \beta \]

is the slope of the density at radii much bigger than

\[r_s\]

\[ \gamma \]

is the slope of the density profile at radii much smaller than

\[r_s\]

\[ \alpha \]

governs how large the transition region is between these two slopes. larger

\[ \alpha \]

means a smaller transition region.

This profile is detailed in: Zhao, 1996 "Analytical models for galactic nuclei" Monthly Notices of the Royal Astronomical Society, 278, 488-49 http://mnras.oxfordjournals.org/content/278/2/488.short

Implements GFunction.