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 96.78 [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 11.05 [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	96.78157059029485	49.83257052719184	191.70300782075617
7.0 d	214.01816827669947	104.809975505568	455.20740872580586
3.0 d	311.33665783096757	149.13806593335147	676.6335321349734
1.0 d	502.5222807694222	238.35640443934727	1097.3878777781742
10.0 h	786.3250692267754	370.44404160047173	1730.2123608173222
4.0 h	1428.340210515396	653.2210370515764	3160.0052915404285
1.0 h	2856.4388260890014	1260.6876364293983	6434.891564887261
0.0 h	4305.0274640224125	1817.337283872608	9736.317115403444

Sky errors

time	0.5	0.05	0.95
30.0 d	11.049391714103088	2.325993632869834	34.03687380566518
7.0 d	3.9322374479922635	0.4644472532060371	14.24700033936563
3.0 d	2.780063383972746	0.2404378671642799	10.987159769200764
1.0 d	2.1161183091066027	0.10352351925741751	8.882039602986241
10.0 h	1.706440506370281	0.04883226291438319	7.887703612761888
4.0 h	1.342376530897441	0.018757741252922927	7.246319389724322
1.0 h	0.9547949128342166	0.00591614538280629	6.530208604042576
0.0 h	0.15266245490633848	0.0015091665081473473	1.0140019088829544

Tc errors

time	0.5	0.05	0.95
30.0 d	0.014021076044653	0.007395520303397679	0.02619198669512519
7.0 d	0.0012555093511059535	0.0007320690687958476	0.002229160327051411
3.0 d	0.00042566813974096796	0.00023614346108094544	0.0007798182813781698
1.0 d	0.00012495579286872315	7.035426970527179e-05	0.0002380848357790573
10.0 h	5.593877969178038e-05	2.9847125145496658e-05	0.00010685837514972537
4.0 h	3.063220087658377e-05	1.3671479899231946e-05	7.056431454233079e-05
1.0 h	1.9370862790507946e-05	4.917999489128896e-06	6.249207075938172e-05
0.0 h	7.38311560911713e-06	9.016612862722162e-07	2.2423957625036772e-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 4.71195758e-45 4.71195758e-45 6.70580303e-55] [2.10000000e-05 4.71334803e-45 4.71334803e-45 8.15094275e-55] [2.20000000e-05 4.71480631e-45 4.71480631e-45 9.81798275e-55] ... [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