Module LALSimInspiralTaylorF2ReducedSpin.c

Detailed Description

Routines for generating TaylorF2 reduced spin inspiral waveforms.

Prototypes
REAL8	XLALSimInspiralTaylorF2ReducedSpinComputeChi (const REAL8 m1, const REAL8 m2, const REAL8 s1z, const REAL8 s2z)
	Compute the dimensionless, aligned-spin parameter chi as used in the TaylorF2RedSpin waveform. More...
int	XLALSimInspiralTaylorF2ReducedSpin (COMPLEX16FrequencySeries **htilde, const REAL8 phic, const REAL8 deltaF, const REAL8 m1_SI, const REAL8 m2_SI, const REAL8 chi, const REAL8 fStart, const REAL8 fEnd, const REAL8 r, const INT4 phaseO, const INT4 ampO)
	Driver routine to compute a non-precessing post-Newtonian inspiral waveform in the frequency domain, described in http://arxiv.org/abs/1107.1267. More...
REAL8	XLALSimInspiralTaylorF2ReducedSpinChirpTime (const REAL8 fStart, const REAL8 m1_SI, const REAL8 m2_SI, const REAL8 chi, const INT4 O)
	Compute the chirp time of the "reduced-spin" templates. More...
int	XLALSimInspiralTaylorF2RedSpinMetricMChirpEtaChi (REAL8 *gamma00, REAL8 *gamma01, REAL8 *gamma02, REAL8 *gamma11, REAL8 *gamma12, REAL8 *gamma22, const REAL8 mc, const REAL8 eta, const REAL8 chi, const REAL8 fLow, const REAL8FrequencySeries *Sh)
int	XLALSimInspiralTaylorF2RedSpinComputeNoiseMoments (REAL8Vector *momI_0, REAL8Vector *momI_2, REAL8Vector *momI_3, REAL8Vector *momI_4, REAL8Vector *momI_5, REAL8Vector *momI_6, REAL8Vector *momI_7, REAL8Vector *momI_8, REAL8Vector *momI_9, REAL8Vector *momI_10, REAL8Vector *momI_11, REAL8Vector *momI_12, REAL8Vector *momI_13, REAL8Vector *momI_14, REAL8Vector *momI_15, REAL8Vector *momI_16, REAL8Vector *momJ_5, REAL8Vector *momJ_6, REAL8Vector *momJ_7, REAL8Vector *momJ_8, REAL8Vector *momJ_9, REAL8Vector *momJ_10, REAL8Vector *momJ_11, REAL8Vector *momJ_12, REAL8Vector *momJ_13, REAL8Vector *momJ_14, REAL8Vector *momK_10, REAL8Vector *momK_11, REAL8Vector *momK_12, REAL8Vector *Sh, REAL8 fLow, REAL8 df)
	Compute the template-space metric of "reduced-spin" PN templates in theta0, theta3, theta3s parameter space. More...
gsl_matrix *	XLALSimInspiralTaylorF2RedSpinFisherMatrixChirpTimes (const REAL8 theta0, const REAL8 theta3, const REAL8 theta3s, const REAL8 fLow, const REAL8 df, REAL8Vector *momI_0, REAL8Vector *momI_2, REAL8Vector *momI_3, REAL8Vector *momI_4, REAL8Vector *momI_5, REAL8Vector *momI_6, REAL8Vector *momI_7, REAL8Vector *momI_8, REAL8Vector *momI_9, REAL8Vector *momI_10, REAL8Vector *momI_11, REAL8Vector *momI_12, REAL8Vector *momI_13, REAL8Vector *momI_14, REAL8Vector *momI_15, REAL8Vector *momI_16, REAL8Vector *momJ_5, REAL8Vector *momJ_6, REAL8Vector *momJ_7, REAL8Vector *momJ_8, REAL8Vector *momJ_9, REAL8Vector *momJ_10, REAL8Vector *momJ_11, REAL8Vector *momJ_12, REAL8Vector *momJ_13, REAL8Vector *momJ_14, REAL8Vector *momK_10, REAL8Vector *momK_11, REAL8Vector *momK_12)
	Compute the Fisher information matrix of "reduced-spin" PN templates in theta0, theta3, theta3s, t0, phi0 parameter space, for an SNR=1/sqrt(2) signal. More...
int	XLALSimInspiralTaylorF2RedSpinMetricChirpTimes (REAL8 *gamma00, REAL8 *gamma01, REAL8 *gamma02, REAL8 *gamma11, REAL8 *gamma12, REAL8 *gamma22, const REAL8 theta0, const REAL8 theta3, const REAL8 theta3s, const REAL8 fLow, const REAL8 df, REAL8Vector *momI_0, REAL8Vector *momI_2, REAL8Vector *momI_3, REAL8Vector *momI_4, REAL8Vector *momI_5, REAL8Vector *momI_6, REAL8Vector *momI_7, REAL8Vector *momI_8, REAL8Vector *momI_9, REAL8Vector *momI_10, REAL8Vector *momI_11, REAL8Vector *momI_12, REAL8Vector *momI_13, REAL8Vector *momI_14, REAL8Vector *momI_15, REAL8Vector *momI_16, REAL8Vector *momJ_5, REAL8Vector *momJ_6, REAL8Vector *momJ_7, REAL8Vector *momJ_8, REAL8Vector *momJ_9, REAL8Vector *momJ_10, REAL8Vector *momJ_11, REAL8Vector *momJ_12, REAL8Vector *momJ_13, REAL8Vector *momJ_14, REAL8Vector *momK_10, REAL8Vector *momK_11, REAL8Vector *momK_12)
	Compute the template-space metric of "reduced-spin" PN templates in theta0, theta3, theta3s parameter space. More...
void	XLALSimInspiralTaylorF2RedSpinChirpTimesFromMchirpEtaChi (double *theta0, double *theta3, double *theta3s, double mc, double eta, double chi, double fLow)
void	XLALSimInspiralTaylorF2RedSpinMchirpEtaChiFromChirpTimes (double *mc, double *eta, double *chi, double theta0, double theta3, double theta3s, double fLow)
int	XLALSimInspiralTaylorF2ReducedSpinTidal (COMPLEX16FrequencySeries **htilde, const REAL8 phic, const REAL8 deltaF, const REAL8 m1_SI, const REAL8 m2_SI, const REAL8 chi, const REAL8 lam1, const REAL8 lam2, const REAL8 fStart, const REAL8 fEnd, const REAL8 r, const INT4 phaseO, const INT4 ampO)
	Generate the "reduced-spin templates" proposed in http://arxiv.org/abs/1107.1267 Add the tidal phase terms from http://arxiv.org/abs/1101.1673 (Eqs. More...

Function Documentation

XLALSimInspiralTaylorF2ReducedSpinComputeChi()

REAL8 XLALSimInspiralTaylorF2ReducedSpinComputeChi	(	const REAL8	m1,
		const REAL8	m2,
		const REAL8	s1z,
		const REAL8	s2z
	)

Compute the dimensionless, aligned-spin parameter chi as used in the TaylorF2RedSpin waveform.

This is different from chi in IMRPhenomB! Reference: http://arxiv.org/abs/1107.1267, paragraph 3.

Parameters

m1	mass of companion 1
m2	mass of companion 2
s1z	dimensionless spin of companion 1
s2z	dimensionless spin of companion 2

Definition at line 46 of file LALSimInspiralTaylorF2ReducedSpin.c.

XLALSimInspiralTaylorF2ReducedSpin()

int XLALSimInspiralTaylorF2ReducedSpin	(	COMPLEX16FrequencySeries **	htilde,
		const REAL8	phic,
		const REAL8	deltaF,
		const REAL8	m1_SI,
		const REAL8	m2_SI,
		const REAL8	chi,
		const REAL8	fStart,
		const REAL8	fEnd,
		const REAL8	r,
		const INT4	phaseO,
		const INT4	ampO
	)

Driver routine to compute a non-precessing post-Newtonian inspiral waveform in the frequency domain, described in http://arxiv.org/abs/1107.1267.

The chi parameter should be determined from XLALSimInspiralTaylorF2ReducedSpinComputeChi.

A note from Evan Ochsner on differences with respect to TaylorF2:

The amplitude-corrected SPA/F2 waveforms are derived and explicitly given in http://arxiv.org/abs/gr-qc/0607092 Sec. II and Appendix A (non-spinning) and http://arxiv.org/abs/0810.5336 Sec. VI and Appendix D (spin-aligned).

The difference between F2 and F2ReducedSpin is that F2ReducedSpin always keeps only the leading-order TD amplitude multiplying the 2nd harmonic ( A_(2,0)(t) in Eq. 2.3 of the first paper OR alpha/beta_2^(0)(t) in Eq. 6.7 of the second paper) but expands out the \(1/\sqrt{\dot{F}}\) ( Eq. 5.3 OR Eq. 6.10-6.11 resp.) to whichever order is given as 'ampO' in the code.

On the other hand, the F2 model in the papers above will PN expand BOTH the TD amplitude and the factor \(1/\sqrt{\dot{F}}\), take their product, and keep all terms up to the desired amplitude order, as in Eq. 6.13-6.14 of the second paper.

In particular, the F2ReducedSpin will always have only the 2nd harmonic, but F2 will have multiple harmonics starting at ampO = 0.5PN. Even if you were to compare just the 2nd harmonic, you would have a difference starting at 1PN ampO, because the F2 has a 1PN TD amp. correction to the 2nd harmonic (alpha/beta_2^(2)(t)) which will not be accounted for by the F2ReducedSpin. So, the two should agree when ampO=0, but will be different in any other case.

Parameters

htilde	FD waveform
phic	orbital coalescence phase (rad)
deltaF	frequency resolution (Hz)
m1_SI	mass of companion 1 (kg)
m2_SI	mass of companion 2 (kg)
chi	dimensionless aligned-spin param
fStart	start GW frequency (Hz)
fEnd	highest GW frequency (Hz) of waveform generation - if 0, end at Schwarzschild ISCO
r	distance of source (m)
phaseO	twice PN phase order
ampO	twice PN amplitude order

Definition at line 99 of file LALSimInspiralTaylorF2ReducedSpin.c.

XLALSimInspiralTaylorF2ReducedSpinChirpTime()

REAL8 XLALSimInspiralTaylorF2ReducedSpinChirpTime	(	const REAL8	fStart,
		const REAL8	m1_SI,
		const REAL8	m2_SI,
		const REAL8	chi,
		const INT4	O
	)

Compute the chirp time of the "reduced-spin" templates.

Parameters

fStart	start GW frequency (Hz)
m1_SI	mass of companion 1 (kg)
m2_SI	mass of companion 2 (kg)
chi	dimensionless aligned-spin param
O	twice PN phase order

Definition at line 307 of file LALSimInspiralTaylorF2ReducedSpin.c.

XLALSimInspiralTaylorF2RedSpinMetricMChirpEtaChi()

int XLALSimInspiralTaylorF2RedSpinMetricMChirpEtaChi	(	REAL8 *	gamma00,
		REAL8 *	gamma01,
		REAL8 *	gamma02,
		REAL8 *	gamma11,
		REAL8 *	gamma12,
		REAL8 *	gamma22,
		const REAL8	mc,
		const REAL8	eta,
		const REAL8	chi,
		const REAL8	fLow,
		const REAL8FrequencySeries *	Sh
	)

Parameters

gamma00	template metric coeff. 00 in mChirp-eta-chi
gamma01	template metric coeff. 01/10 in mChirp-eta-chi
gamma02	template metric coeff. 02/20 in mChirp-eta-chi
gamma11	template metric coeff. 11 in mChirp-eta-chi
gamma12	template metric coeff. 12/21 in mChirp-eta-chi
gamma22	template metric coeff. 22 in mChirp-eta-chi
mc	chirp mass (in solar mass)
eta	symmetric mass ratio
chi	reduced-spin parameter
fLow	low-frequency cutoff (Hz)
Sh	PSD in strain per root Hertz

Definition at line 383 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2RedSpinComputeNoiseMoments()

int XLALSimInspiralTaylorF2RedSpinComputeNoiseMoments	(	REAL8Vector *	momI_0,
		REAL8Vector *	momI_2,
		REAL8Vector *	momI_3,
		REAL8Vector *	momI_4,
		REAL8Vector *	momI_5,
		REAL8Vector *	momI_6,
		REAL8Vector *	momI_7,
		REAL8Vector *	momI_8,
		REAL8Vector *	momI_9,
		REAL8Vector *	momI_10,
		REAL8Vector *	momI_11,
		REAL8Vector *	momI_12,
		REAL8Vector *	momI_13,
		REAL8Vector *	momI_14,
		REAL8Vector *	momI_15,
		REAL8Vector *	momI_16,
		REAL8Vector *	momJ_5,
		REAL8Vector *	momJ_6,
		REAL8Vector *	momJ_7,
		REAL8Vector *	momJ_8,
		REAL8Vector *	momJ_9,
		REAL8Vector *	momJ_10,
		REAL8Vector *	momJ_11,
		REAL8Vector *	momJ_12,
		REAL8Vector *	momJ_13,
		REAL8Vector *	momJ_14,
		REAL8Vector *	momK_10,
		REAL8Vector *	momK_11,
		REAL8Vector *	momK_12,
		REAL8Vector *	Sh,
		REAL8	fLow,
		REAL8	df
	)

Compute the template-space metric of "reduced-spin" PN templates in theta0, theta3, theta3s parameter space.

Parameters

momI_0	noise moments: \(momI_0(f) = \int_{f0}^f (f'/f0)^{(0-17)/3} df'\)
momI_2	noise moments: \(momI_2(f) = \int_{f0}^f (f'/f0)^{(2-17)/3} df'\)
momI_3	noise moments: \(momI_3(f) = \int_{f0}^f (f'/f0)^{(3-17)/3} df'\)
momI_4	noise moments: \(momI_4(f) = \int_{f0}^f (f'/f0)^{(4-17)/3} df'\)
momI_5	noise moments: \(momI_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} df'\)
momI_6	noise moments: \(momI_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} df'\)
momI_7	noise moments: \(momI_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} df'\)
momI_8	noise moments: \(momI_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} df'\)
momI_9	noise moments: \(momI_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} df'\)
momI_10	noise moments: \(momI_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} df'\)
momI_11	noise moments: \(momI_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} df'\)
momI_12	noise moments: \(momI_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} df'\)
momI_13	noise moments: \(momI_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} df'\)
momI_14	noise moments: \(momI_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} df'\)
momI_15	noise moments: \(momI_15(f) = \int_{f0}^f (f'/f0)^{(15-17)/3} df'\)
momI_16	noise moments: \(momI_16(f) = \int_{f0}^f (f'/f0)^{(16-17)/3} df'\)
momJ_5	noise moments: \(momJ_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} log(f'/f0) df'\)
momJ_6	noise moments: \(momJ_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} log(f'/f0) df'\)
momJ_7	noise moments: \(momJ_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} log(f'/f0) df'\)
momJ_8	noise moments: \(momJ_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} log(f'/f0) df'\)
momJ_9	noise moments: \(momJ_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} log(f'/f0) df'\)
momJ_10	noise moments: \(momJ_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} log(f'/f0) df'\)
momJ_11	noise moments: \(momJ_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} log(f'/f0) df'\)
momJ_12	noise moments: \(momJ_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} log(f'/f0) df'\)
momJ_13	noise moments: \(momJ_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} log(f'/f0) df'\)
momJ_14	noise moments: \(momJ_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} log(f'/f0) df'\)
momK_10	noise moments: \(momK_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_11	noise moments: \(momK_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_12	noise moments: \(momK_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} log(f'/f0) log(f'/f0) df'\)
Sh	one sided PSD of the detector noise: Sh(f) for f = [fLow, fNyq]
fLow	low frequency cutoff (Hz)
df	frequency resolution of the psd vector (Hz)

Definition at line 556 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2RedSpinFisherMatrixChirpTimes()

gsl_matrix* XLALSimInspiralTaylorF2RedSpinFisherMatrixChirpTimes	(	const REAL8	theta0,
		const REAL8	theta3,
		const REAL8	theta3s,
		const REAL8	fLow,
		const REAL8	df,
		REAL8Vector *	momI_0,
		REAL8Vector *	momI_2,
		REAL8Vector *	momI_3,
		REAL8Vector *	momI_4,
		REAL8Vector *	momI_5,
		REAL8Vector *	momI_6,
		REAL8Vector *	momI_7,
		REAL8Vector *	momI_8,
		REAL8Vector *	momI_9,
		REAL8Vector *	momI_10,
		REAL8Vector *	momI_11,
		REAL8Vector *	momI_12,
		REAL8Vector *	momI_13,
		REAL8Vector *	momI_14,
		REAL8Vector *	momI_15,
		REAL8Vector *	momI_16,
		REAL8Vector *	momJ_5,
		REAL8Vector *	momJ_6,
		REAL8Vector *	momJ_7,
		REAL8Vector *	momJ_8,
		REAL8Vector *	momJ_9,
		REAL8Vector *	momJ_10,
		REAL8Vector *	momJ_11,
		REAL8Vector *	momJ_12,
		REAL8Vector *	momJ_13,
		REAL8Vector *	momJ_14,
		REAL8Vector *	momK_10,
		REAL8Vector *	momK_11,
		REAL8Vector *	momK_12
	)

Compute the Fisher information matrix of "reduced-spin" PN templates in theta0, theta3, theta3s, t0, phi0 parameter space, for an SNR=1/sqrt(2) signal.

Parameters

theta0	dimensionless parameter related to the chirp time by theta0 = 2 pi fLow tau0
theta3	dimensionless parameter related to the chirp time by theta3 = -2 pi fLow tau3
theta3s	dimensionless parameter related to the chirp time by theta3s = 2 pi fLow tau3s
fLow	low-frequency cutoff (Hz)
df	frequency resolution of the noise moment vectors (Hz)
momI_0	noise moments: \(momI_0(f) = \int_{f0}^f (f'/f0)^{(0-17)/3} df'\)
momI_2	noise moments: \(momI_2(f) = \int_{f0}^f (f'/f0)^{(2-17)/3} df'\)
momI_3	noise moments: \(momI_3(f) = \int_{f0}^f (f'/f0)^{(3-17)/3} df'\)
momI_4	noise moments: \(momI_4(f) = \int_{f0}^f (f'/f0)^{(4-17)/3} df'\)
momI_5	noise moments: \(momI_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} df'\)
momI_6	noise moments: \(momI_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} df'\)
momI_7	noise moments: \(momI_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} df'\)
momI_8	noise moments: \(momI_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} df'\)
momI_9	noise moments: \(momI_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} df'\)
momI_10	noise moments: \(momI_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} df'\)
momI_11	noise moments: \(momI_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} df'\)
momI_12	noise moments: \(momI_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} df'\)
momI_13	noise moments: \(momI_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} df'\)
momI_14	noise moments: \(momI_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} df'\)
momI_15	noise moments: \(momI_15(f) = \int_{f0}^f (f'/f0)^{(15-17)/3} df'\)
momI_16	noise moments: \(momI_16(f) = \int_{f0}^f (f'/f0)^{(16-17)/3} df'\)
momJ_5	noise moments: \(momJ_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} log(f'/f0) df'\)
momJ_6	noise moments: \(momJ_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} log(f'/f0) df'\)
momJ_7	noise moments: \(momJ_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} log(f'/f0) df'\)
momJ_8	noise moments: \(momJ_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} log(f'/f0) df'\)
momJ_9	noise moments: \(momJ_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} log(f'/f0) df'\)
momJ_10	noise moments: \(momJ_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} log(f'/f0) df'\)
momJ_11	noise moments: \(momJ_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} log(f'/f0) df'\)
momJ_12	noise moments: \(momJ_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} log(f'/f0) df'\)
momJ_13	noise moments: \(momJ_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} log(f'/f0) df'\)
momJ_14	noise moments: \(momJ_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} log(f'/f0) df'\)
momK_10	noise moments: \(momK_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_11	noise moments: \(momK_15(f) = \int_{f0}^f (f'/f0)^{(15-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_12	noise moments: \(momK_16(f) = \int_{f0}^f (f'/f0)^{(16-17)/3} log(f'/f0) log(f'/f0) df'\)

Definition at line 691 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2RedSpinMetricChirpTimes()

int XLALSimInspiralTaylorF2RedSpinMetricChirpTimes	(	REAL8 *	gamma00,
		REAL8 *	gamma01,
		REAL8 *	gamma02,
		REAL8 *	gamma11,
		REAL8 *	gamma12,
		REAL8 *	gamma22,
		const REAL8	theta0,
		const REAL8	theta3,
		const REAL8	theta3s,
		const REAL8	fLow,
		const REAL8	df,
		REAL8Vector *	momI_0,
		REAL8Vector *	momI_2,
		REAL8Vector *	momI_3,
		REAL8Vector *	momI_4,
		REAL8Vector *	momI_5,
		REAL8Vector *	momI_6,
		REAL8Vector *	momI_7,
		REAL8Vector *	momI_8,
		REAL8Vector *	momI_9,
		REAL8Vector *	momI_10,
		REAL8Vector *	momI_11,
		REAL8Vector *	momI_12,
		REAL8Vector *	momI_13,
		REAL8Vector *	momI_14,
		REAL8Vector *	momI_15,
		REAL8Vector *	momI_16,
		REAL8Vector *	momJ_5,
		REAL8Vector *	momJ_6,
		REAL8Vector *	momJ_7,
		REAL8Vector *	momJ_8,
		REAL8Vector *	momJ_9,
		REAL8Vector *	momJ_10,
		REAL8Vector *	momJ_11,
		REAL8Vector *	momJ_12,
		REAL8Vector *	momJ_13,
		REAL8Vector *	momJ_14,
		REAL8Vector *	momK_10,
		REAL8Vector *	momK_11,
		REAL8Vector *	momK_12
	)

Compute the template-space metric of "reduced-spin" PN templates in theta0, theta3, theta3s parameter space.

Parameters

gamma00	template metric coeff. 00 in theta0-theta3-theta3s
gamma01	template metric coeff. 01/10 in theta0-theta3-theta3s
gamma02	template metric coeff. 02/20 in theta0-theta3-theta3s
gamma11	template metric coeff. 11 in theta0-theta3-theta3s
gamma12	template metric coeff. 12/21 in theta0-theta3-theta3s
gamma22	template metric coeff. 22 in theta0-theta3-theta3s
theta0	dimensionless parameter related to the chirp time by theta0 = 2 pi fLow tau0
theta3	dimensionless parameter related to the chirp time by theta3 = -2 pi fLow tau3
theta3s	dimensionless parameter related to the chirp time by theta3s = 2 pi fLow tau3s
fLow	low-frequency cutoff (Hz)
df	frequency resolution of the noise moment vectors (Hz)
momI_0	noise moments: \(momI_0(f) = \int_{f0}^f (f'/f0)^{(0-17)/3} df'\)
momI_2	noise moments: \(momI_2(f) = \int_{f0}^f (f'/f0)^{(2-17)/3} df'\)
momI_3	noise moments: \(momI_3(f) = \int_{f0}^f (f'/f0)^{(3-17)/3} df'\)
momI_4	noise moments: \(momI_4(f) = \int_{f0}^f (f'/f0)^{(4-17)/3} df'\)
momI_5	noise moments: \(momI_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} df'\)
momI_6	noise moments: \(momI_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} df'\)
momI_7	noise moments: \(momI_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} df'\)
momI_8	noise moments: \(momI_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} df'\)
momI_9	noise moments: \(momI_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} df'\)
momI_10	noise moments: \(momI_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} df'\)
momI_11	noise moments: \(momI_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} df'\)
momI_12	noise moments: \(momI_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} df'\)
momI_13	noise moments: \(momI_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} df'\)
momI_14	noise moments: \(momI_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} df'\)
momI_15	noise moments: \(momI_15(f) = \int_{f0}^f (f'/f0)^{(15-17)/3} df'\)
momI_16	noise moments: \(momI_16(f) = \int_{f0}^f (f'/f0)^{(16-17)/3} df'\)
momJ_5	noise moments: \(momJ_5(f) = \int_{f0}^f (f'/f0)^{(5-17)/3} log(f'/f0) df'\)
momJ_6	noise moments: \(momJ_6(f) = \int_{f0}^f (f'/f0)^{(6-17)/3} log(f'/f0) df'\)
momJ_7	noise moments: \(momJ_7(f) = \int_{f0}^f (f'/f0)^{(7-17)/3} log(f'/f0) df'\)
momJ_8	noise moments: \(momJ_8(f) = \int_{f0}^f (f'/f0)^{(8-17)/3} log(f'/f0) df'\)
momJ_9	noise moments: \(momJ_9(f) = \int_{f0}^f (f'/f0)^{(9-17)/3} log(f'/f0) df'\)
momJ_10	noise moments: \(momJ_10(f) = \int_{f0}^f (f'/f0)^{(10-17)/3} log(f'/f0) df'\)
momJ_11	noise moments: \(momJ_11(f) = \int_{f0}^f (f'/f0)^{(11-17)/3} log(f'/f0) df'\)
momJ_12	noise moments: \(momJ_12(f) = \int_{f0}^f (f'/f0)^{(12-17)/3} log(f'/f0) df'\)
momJ_13	noise moments: \(momJ_13(f) = \int_{f0}^f (f'/f0)^{(13-17)/3} log(f'/f0) df'\)
momJ_14	noise moments: \(momJ_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} log(f'/f0) df'\)
momK_10	noise moments: \(momK_14(f) = \int_{f0}^f (f'/f0)^{(14-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_11	noise moments: \(momK_15(f) = \int_{f0}^f (f'/f0)^{(15-17)/3} log(f'/f0) log(f'/f0) df'\)
momK_12	noise moments: \(momK_16(f) = \int_{f0}^f (f'/f0)^{(16-17)/3} log(f'/f0) log(f'/f0) df'\)

Definition at line 1271 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2RedSpinChirpTimesFromMchirpEtaChi()

void XLALSimInspiralTaylorF2RedSpinChirpTimesFromMchirpEtaChi	(	double *	theta0,
		double *	theta3,
		double *	theta3s,
		double	mc,
		double	eta,
		double	chi,
		double	fLow
	)

Parameters

theta0	dimensionless parameter related to the chirp time by theta0 = 2 pi fLow tau0
theta3	dimensionless parameter related to the chirp time by theta3 = -2 pi fLow tau3
theta3s	dimensionless parameter related to the chirp time by theta3s = 2 pi fLow tau3s
mc	chirp mass (M_sun)
eta	symmetric mass ratio
chi	reduced-spin parameter
fLow	low-frequency cutoff (Hz)

Definition at line 1378 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2RedSpinMchirpEtaChiFromChirpTimes()

void XLALSimInspiralTaylorF2RedSpinMchirpEtaChiFromChirpTimes	(	double *	mc,
		double *	eta,
		double *	chi,
		double	theta0,
		double	theta3,
		double	theta3s,
		double	fLow
	)

Parameters

mc	chirp mass (M_sun)
eta	symmetric mass ratio
chi	reduced-spin parameter
theta0	dimensionless parameter related to the chirp time by theta0 = 2 pi fLow tau0
theta3	dimensionless parameter related to the chirp time by theta3 = -2 pi fLow tau3
theta3s	dimensionless parameter related to the chirp time by theta3s = 2 pi fLow tau3s
fLow	low-frequency cutoff (Hz)

Definition at line 1394 of file LALSimInspiralTaylorF2ReducedSpinMetric.c.

XLALSimInspiralTaylorF2ReducedSpinTidal()

int XLALSimInspiralTaylorF2ReducedSpinTidal	(	COMPLEX16FrequencySeries **	htilde,
		const REAL8	phic,
		const REAL8	deltaF,
		const REAL8	m1_SI,
		const REAL8	m2_SI,
		const REAL8	chi,
		const REAL8	lam1,
		const REAL8	lam2,
		const REAL8	fStart,
		const REAL8	fEnd,
		const REAL8	r,
		const INT4	phaseO,
		const INT4	ampO
	)

Generate the "reduced-spin templates" proposed in http://arxiv.org/abs/1107.1267 Add the tidal phase terms from http://arxiv.org/abs/1101.1673 (Eqs.

3.9, 3.10) The chi parameter should be determined from XLALSimInspiralTaylorF2ReducedSpinComputeChi.

Parameters

htilde	FD waveform
phic	orbital coalescence phase (rad)
deltaF	frequency resolution (Hz)
m1_SI	mass of companion 1 (kg)
m2_SI	mass of companion 2 (kg)
chi	dimensionless aligned-spin param
lam1	(tidal deformability of mass 1) / (mass of body 1)^5 (dimensionless)
lam2	(tidal deformability of mass 2) / (mass of body 2)^5 (dimensionless)
fStart	start GW frequency (Hz)
fEnd	highest GW frequency (Hz) of waveform generation - if 0, end at Schwarzschild ISCO
r	distance of source (m)
phaseO	twice PN phase order
ampO	twice PN amplitude order

Definition at line 41 of file LALSimInspiralTaylorF2ReducedSpinTidal.c.