LALInspiralTofVIntegrand.c File Reference

The function LALInspiralTofVIntegrand() calculates the quantity \(E^{\prime}(v)/\mathcal{F}(v)\). More...

Prototypes
REAL8	XLALInspiralTofVIntegrand (REAL8 v, void *params)

Detailed Description

The function LALInspiralTofVIntegrand() calculates the quantity \(E^{\prime}(v)/\mathcal{F}(v)\).

Author

Sathyaprakash, B. S.

Prototypes

LALInspiralTofVIntegrand()

Description

The function LALInspiralTofVIntegrand() calculates the quantity \(E^{\prime}(v)/\mathcal{F}(v)\). These are the energy and flux functions which are used in the gravitational wave phasing formula, which is defined as

\begin{eqnarray} \label{phasing formula} t(v) & = & t_\textrm{ref} + m \int_v^{v_\textrm{ref}} \, \frac{E'(v)}{{\cal F}(v)} \, dv, \\ \phi (v) & = & \phi_\textrm{ref} + 2 \int_v^{v_\textrm{ref}} v^3 \, \frac{E'(v)}{{\cal F}(v)} \, dv, \end{eqnarray}

where \(v=(\pi m F)^{1/3}\) is an invariantly defined velocity, \(F\) is the instantaneous GW frequency, and \(m\) is the total mass of the binary.

Uses

This function calls the function which represents \(E^{\prime}(v)\) and \(\mathcal{F}(v)\). The pointer to each of these functions is set by a call to the function LALInspiralChooseModel().

Definition in file LALInspiralTofVIntegrand.c.

Go to the source code of this file.

Function Documentation

XLALInspiralTofVIntegrand()

REAL8 XLALInspiralTofVIntegrand	(	REAL8	v,
		void *	params
	)

Definition at line 60 of file LALInspiralTofVIntegrand.c.