The code LALInspiralFrequency3.c calculates the frequency the waveform from an inspiralling binary system as a function of time up to 3.5 post-Nowtonian order. More...

Prototypes
REAL8	XLALInspiralFrequency3_0PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_2PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_3PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_4PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_5PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_6PN (REAL8 td, expnCoeffs *ak)

REAL8	XLALInspiralFrequency3_7PN (REAL8 td, expnCoeffs *ak)

Detailed Description

The code LALInspiralFrequency3.c calculates the frequency the waveform from an inspiralling binary system as a function of time up to 3.5 post-Nowtonian order.

Author: Sathyaprakash, B. S.

Prototypes

LALInspiralFrequency3()

frequency: Output containing the inspiral waveform.
td: Input containing PN expansion coefficients \(F_k\) (cf. this table) of frequency as a function of time.
ak: Input containing all PN expansion coefficients.

Description

This module computes the instantaneous frequency of an inspiral wave using

\begin{equation} F(t) = F_N(\theta) \sum F_k \theta^k, \end{equation}

where the expansion coefficients \(F_k,\) Newtonian value \(F_N\) and the time-variable \(\theta\) are defined in this table.

Algorithm

Uses

None.

Notes

The frequency evolution defined by post-Newtonian expansion is not monotonic. Indeed, the equations become highly inaccurate close to the last stable orbit (lso) and breakdown at or slightly after lso, and the frequency begins to decrease at later times. It turns out that the evolution is monotonic at least up to lso.

Definition in file LALInspiralFrequency3.c.

Go to the source code of this file.

Function Documentation

◆ XLALInspiralFrequency3_0PN()

REAL8 XLALInspiralFrequency3_0PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 72 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_2PN()

REAL8 XLALInspiralFrequency3_2PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 94 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_3PN()

REAL8 XLALInspiralFrequency3_3PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 118 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_4PN()

REAL8 XLALInspiralFrequency3_4PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 143 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_5PN()

REAL8 XLALInspiralFrequency3_5PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 170 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_6PN()

REAL8 XLALInspiralFrequency3_6PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 199 of file LALInspiralFrequency3.c.

◆ XLALInspiralFrequency3_7PN()

REAL8 XLALInspiralFrequency3_7PN	(	REAL8	td,
		expnCoeffs *	ak
	)

Definition at line 230 of file LALInspiralFrequency3.c.