Ability to detect GW150914-like events using optimal sky position [4.5 yr]
FoM
Science investigation and Observational requirement: SI4.1 OR4.1 from Science requirement document.
Compute probability of detecting GW150914-like events with SNR>7 (optimally oriented on the sky) and evaluate its localization and time of merger
- GREAT 67.60008519466483 [1 5 10] : Probability to detect
Detectability OK if SNR>=7 for 4.5 years of observation
- OK 1.3083100479991745 [100 10 1] : Advanced sky localization
Localization OK if sky error < 10 sq.deg. for 4.5 years of observation and (time to merger) tc = 10 years
- NO 1310.4926060544947 [100 10 1] : Predict coalescence time
Coalescence time prediction OK if tc error < 10 min for 4.5 years of observation and (time to merger) tc = 10 years
Summary
We have assumed 4.5 years of observation with 0.89 duty cycle and SNR threshold: 7
We have conducted monte-carlo avec 10000 trials using LIGO posterior distribution IMRPhenomPv2_posterior and random angles and positions (except inclination for which we use LISA posterior distribution), assuming a time to coalescence of 10 years.
4.5: best 14.00701751861112, mean 7.866851353476786, median 7.560491812502724
We have used the 0.1% sources best SNR to derive Fisher mean errors
We have ignored polarization, inclination and phase in the Fisher sampling to avoid degeneracies
Evolution of errors (FIM) as a function of tc
Detailed results
waveform_params
'''
- minf : 2e-05
- maxf : 1
- fend : None
- tmin : None
- tmax : 4.5
- phiref : 0.0
- fref_for_phiref : None
- toffset : 0.0
- TDI : TDI2AET
- acc : 0.0001
- order_fresnel_stencil : 0
- approximant : IMRPhenomD
- 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 3.26116855e-45 3.26116855e-45 -2.35000529e-51] [ 2.10000000e-05 3.04637232e-45 3.04637232e-45 -2.59086519e-51] [ 2.20000000e-05 2.86794953e-45 2.86794953e-45 -2.84347125e-51] ... [ 9.99998000e-01 1.12081104e-36 1.12081104e-36 2.92351422e-36] [ 9.99999000e-01 1.12081125e-36 1.12081125e-36 2.92372017e-36] [ 1.00000000e+00 1.12081141e-36 1.12081141e-36 2.92392603e-36]] '''
source_params
'''
- m1 : 38.55857888171136
- m2 : 33.29171907852824
- chi1 : 0.10517526479580235
- chi2 : -0.18235419183677876
- dist : 484.1211350184977
- inc : 3.065199532811077
- ra : 1.193462325823016
- dec : -1.1889876836782203
- phi : 0.0
- lambda : 3.59431527654009
- beta : 0.370951177013308
- psi : 5.361808256845137
- tc : 10
- fstart : 0.011444809853850194
- dist0 : 456.71896533943345 '''
Input parameters
- log : log/SO4_localization_sbbh.GW150914.log
- config : config.yml
- subconfig :
- duration : 4.5 yr
- duty_cycle : 0.89
- armlength : 2500000000.0 m
- noise : CBE_redbook/noise_background_4.5_yr.npy
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 4.5_yr
- h5file : SO4/data/GW150914_GWTC-1.hdf5
- report : CBE_redbook/report_SO4_localization_sbbh.GW150914.md
- fom_config : SO4/localization_sbbh.GW150914.yml
- random_seed : 9137
- fom_sky_range : [100, 10, 1]
- fom_tc_range : [100, 10, 1]
- fom_snr_range : [1, 5, 10]
- tc : 10
- snr_thresh : 7
- fom_or : SI4.1 OR4.1
- fom_title : Ability to detect GW150914-like events using optimal sky position
- fom_objective : compute SNR and PE
- nproc : 24
- fom_obj : Compute probability of detecting GW150914-like events with SNR>7 (optimally oriented on the sky) and evaluate its localization and time of merger