Multimessenger astronomy, enabling pre-localization, fig.6 [4.5 yr]

FoM

Science investigation and Observational requirement: SI 3.2.3a from Science requirement document.

For a MBHBs with source-frame mass of \(3.10^5\) M\(_\odot\) at \(z = 0.3\) measurement of: (i) sky localization within \(1\,{\rm deg^2}\) 1 hour before merger.

- OK 96.74 [20 40 100] : SNR 30 days before merger.

System with \(M = 3.10^5 M_\odot\), z=0.3

- GREAT 0.0 [0.25 0.021 0.007] : Error on time localization (in days) 7 days before merger.

System with \(M = 3.10^5 M_\odot\), z=0.3

- OK 1.34 [100.0 5.0 1.0] : Error on sky localization (in square degree) 4 hours before merger.

System with \(M = 3.10^5 M_\odot\), z=0.3

- OK 11.07 [50 15 5] : Error on advanced sky localization (in square degree) 30 days before merger.

System with \(M = 3.10^5 M_\odot\), z=0.3

Summary

MBHB with waveform IMRPhenomHM of

• mass in 3.000000e+05-3.000000e+05 solar mass (log uniform)
• mass ratio in [1, 10] (log uniform),
• redshift in [0.3] (uniform in comoving volume)
• chi in [0 - 0.99] (uniform))

Conducting monte-carlo over 2000 trials, randomizing spins, sky position and orientation

Ms_3.0e+05_t_all

PEoft c0-Ms_3.0e+05_t_all

SNR

time	0.5	0.05	0.95
30.0 d	96.74282790915382	49.82490529284432	191.70040992973787
7.0 d	214.01609834577297	104.79211397964032	455.20009918820864
3.0 d	311.3295310283719	149.1233019845553	676.6326029979693
1.0 d	502.51385133676314	238.35555564896094	1097.3829635092545
10.0 h	786.3219094215256	370.4398135450109	1730.2080605457195
4.0 h	1428.3390310134541	653.2181045566023	3160.002553225246
1.0 h	2856.4381455981966	1260.6863018436302	6434.891357961001
0.0 h	4305.026181119427	1817.336862625613	9736.316399714891

Sky errors

time	0.5	0.05	0.95
30.0 d	11.065155447671724	2.326740570670011	34.096767929984274
7.0 d	3.9338268903202547	0.4646044944547214	14.264646145296464
3.0 d	2.781270015411082	0.24047664891083223	10.99267286702147
1.0 d	2.1169180339806544	0.1035647955726441	8.894765136824414
10.0 h	1.7071276420979353	0.04884107136017092	7.888845353426529
4.0 h	1.3427772421371837	0.01875816807198871	7.25270653999802
1.0 h	0.955340641010453	0.00591715930139281	6.535699881148412
0.0 h	0.1526807178319445	0.0015091831896176576	1.0141082040436409

Tc errors

time	0.5	0.05	0.95
30.0 d	0.014033787551292835	0.007398469468640882	0.026228351393286164
7.0 d	0.0012562083005627483	0.0007320799102793637	0.002231621607282509
3.0 d	0.00042569988889627243	0.0002361323809562341	0.0007803261525313298
1.0 d	0.0001249908455336675	7.041254496586211e-05	0.00023824484013402117
10.0 h	5.597566388876716e-05	2.9842140387261362e-05	0.00010603626572909911
4.0 h	3.066236605463253e-05	1.3664682861708834e-05	7.062936916563861e-05
1.0 h	1.932587290143799e-05	4.904326041369241e-06	6.249682597779471e-05
0.0 h	7.39243819509051e-06	9.01663108993699e-07	2.2426395536348383e-05

Detailed results

at merger

waveform parameters

'''

• minf : 2e-05
• maxf : 1
• fend : None
• tmin : 0.0
• tmax : None
• phiref : 0.0
• fref_for_phiref : 0.0
• toffset : 0.0
• TDI : TDI2AET
• acc : 0.0001
• order_fresnel_stencil : 0
• approximant : IMRPhenomHM
• responseapprox : full
• frozenLISA : False
• TDIrescaled : False
• LISAconst : {'OrbitOmega': 1.9909865927683783e-07, 'OrbitPhi0': 0.0, 'Orbitt0': 0.0, 'OrbitR': 149597870700.0, 'OrbitL': 2500000000.0}
• LISAnoise : [[2.00000000e-05 7.71748532e-41 7.71748532e-41 8.45230844e-54] [2.10000000e-05 5.48584269e-41 5.48584269e-41 7.52449171e-54] [2.20000000e-05 3.96262828e-41 3.96262828e-41 6.82098233e-54] ... [9.99998000e-01 2.73617388e-36 2.73617388e-36 5.73895037e-36] [9.99999000e-01 2.73619429e-36 2.73619429e-36 5.73933494e-36] [1.00000000e+00 2.73621460e-36 2.73621460e-36 5.73971931e-36]]
• t0 : 0.7
• DeltatL_cut : -18299.558214969933
• modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''

Input parameters

- log : log/SO2_localization.c0.log
- config : config.yml
- subconfig : 
- duration : 4.5 yr
- duty_cycle : 0.82
- armlength : 2500000000.0 m
- noise : SciRDv1
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 4.5_yr
- report : SciRDv1_redbook/report_SO2a_localization.c0.md
- sky_thr_fom : [100.0]
- coal_thr_fom : [4]
- fom_range : [15, 20, 25]
- time_fom_sky : [4]
- time_fom_coal : [48]
- fom_title : Multimessenger astronomy, enabling pre-localization, fig.6
- fom_config : SO2/localization.c0.yml
- fom_or : SI 3.2.3a
- fom_objective : Detectability/PE for MBHB
- output : SciRDv1_redbook/data_SO2a_localization.c0.pkl
- mass_range : [300000.0]
- z_range : [0.3]
- time_range : [<Quantity 30. d>, <Quantity 7. d>, <Quantity 3. d>, <Quantity 1. d>, <Quantity 10. h>, <Quantity 4. h>, <Quantity 1. h>, <Quantity 0. h>]
- fom_obj : For a MBHBs with source-frame mass of $3.10^5$ M$_\odot$ at $z = 0.3$ measurement of: (i) sky localization within $1\,{\rm deg^2}$ 1 hour before merger.
- mass_ratio_range : [1, 10]
- foms : [{'mass': 300000.0, 'time': <Quantity 30. d>, 'value': 'snr', 'good': 40, 'bad': 20, 'extra': 100, 'title': 'SNR 30 days before merger.', 'descr': 'System with $M = 3.10^5 M_\\odot$, z=0.3'}, {'mass': 300000.0, 'time': <Quantity 7. d>, 'value': 'tc', 'good': 0.021, 'bad': 0.25, 'extra': 0.007, 'title': 'Error on time localization (in days) 7 days before merger.', 'descr': 'System with $M = 3.10^5 M_\\odot$, z=0.3'}, {'mass': 300000.0, 'time': <Quantity 4. h>, 'value': 'sky', 'good': 5.0, 'bad': 100.0, 'extra': 1.0, 'title': 'Error on sky localization (in square degree) 4 hours before merger.', 'descr': 'System with $M = 3.10^5 M_\\odot$, z=0.3'}, {'mass': 300000.0, 'time': <Quantity 30. d>, 'value': 'sky', 'good': 15, 'bad': 50, 'extra': 5, 'title': 'Error on advanced sky localization (in square degree) 30 days before merger.', 'descr': 'System with $M = 3.10^5 M_\\odot$, z=0.3'}]

Download

Full data set Ms_3.0e+05_t_30.0 d

Full data set Ms_3.0e+05_t_7.0 d

Full data set Ms_3.0e+05_t_3.0 d

Full data set Ms_3.0e+05_t_1.0 d

Full data set Ms_3.0e+05_t_10.0 h

Full data set Ms_3.0e+05_t_4.0 h

Full data set Ms_3.0e+05_t_1.0 h

Full data set Ms_3.0e+05_t_0.0 h

Localization errors c0-Ms_3.0e+05_t_all at merger

Tc errors c0-Ms_3.0e+05_t_all at merger

Localization errors c0-Ms_3.0e+05_t_all

Coalescence time errors c0-Ms_3.0e+05_t_all

SNR c0-Ms_3.0e+05_t_all