Advanced localization of GW150914-like events [4.5 yr]
FoM
Science investigation and Observational requirement: SI4.1 OR4.1 from Science requirement document.
Compute the error in evaluating localization and time of merger for a GW150914-like events with SNR>7 (optimally oriented on the sky).
- OK 1.254235213488195 [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
- WARNING 307.7540153733801 [600 300 120] : Predict coalescence time (min)
Coalescence time prediction OK if tc error < 300 min for 4.5 years of observation and (time to merger) tc = 10 years
Summary
We have used an high SNR source and computed Fisher errors for the localization. We have used a MCMC sampling to estimate the error on time of merger.
We have ignored polarization, inclination and phase in the Fisher sampling to avoid degeneracies
Evolution of errors 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 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]] '''
source_params
'''
- m1 : 39.05700135865722
- m2 : 30.02593932407209
- chi1 : 0.12797039861627554
- chi2 : -0.5123912809714214
- dist : 326.1574026106077
- inc : 2.8703435781488746
- ra : 1.193462325823016
- dec : -1.1889876836782203
- phi : 0.0
- lambda : 2.5035370345589323
- beta : -0.32401478444259824
- psi : 5.361808256845137
- tc : 10.0
- fstart : 0.011781311422727996
- dist0 : 295.34808962935983
- Deltat : 0 '''
MCMC settings
'''
- Number of chains : 5
- Max temperature : 10
- Number of iterations : 1000001
- Size of tc distribution : 10000
- Skipped samples : 10000
- Downsampling for corner plot and saved chains : 30 '''
MCMC Generated tc distribution
MCMC lowest temperature chain corner plot.
Input parameters
- log : log/SO4_localization_sbbh_GW150914.log
- config : config.yml
- subconfig :
- duration : 4.5 yr
- duty_cycle : 0.82
- 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
- inputs : SciRDv1_redbook/so4-localization-GW150914-mcmc-tc10-tmp,SciRDv1_redbook/so4-localization-GW150914-mcmc-tc15-tmp,SciRDv1_redbook/so4-localization-GW150914-mcmc-tc20-tmp
- report : SciRDv1_redbook/report_SO4_localization_sbbh.GW150914.md
- fom_config : SO4/localization_sbbh.GW150914.yml
- tc : 10
- fom_sky_range : [100, 10, 1]
- fom_tc_range : [600, 300, 120]
- fom_snr_range : [1, 5, 10]
- snr_thresh : 7
- fom_or : SI4.1 OR4.1
- fom_title : Advanced localization of GW150914-like events
- fom_objective : compute SNR and PE
- fim_for_tc : False
- clean_tmp : False
- seed : 1234
- fom_obj : Compute the error in evaluating localization and time of merger for a GW150914-like events with SNR>7 (optimally oriented on the sky).