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
- OK 9.628820345144506 [1 5 10] : Probability to detect
Detectability OK if SNR>=7 for 4.5 years of observation
- OK 2.7243808641191674 [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 1564.9655068650131 [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 9.708394243691796, mean 5.452621773241172, median 5.240171287837384
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 4.71195758e-45 4.71195758e-45 6.70581547e-55] [2.10000000e-05 4.71334803e-45 4.71334803e-45 8.15094897e-55] [2.20000000e-05 4.71480631e-45 4.71480631e-45 9.81800142e-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]] '''
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 : SciRDv1_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 : SciRDv1_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