Multimessenger astronomy, post merger [4.5 yr]

FoM

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

For a MBHBs with source-frame mass in the range \(10^5-10^7\) M\(_\odot\) at \(z = 1\) measurement of: (i) sky localization within \(1\,{\rm deg^2}\) post merger.

Summary

MBHB with waveform IMRPhenomHM of

  • mass in [300000.0, 3000000.0, 10000000.0] solar mass (log uniform)
  • mass ratio in [1, 10] (log uniform),
  • redshift in [1] (uniform in comoving volume)
  • chi in [0 - 0.99] (uniform))

Conducting monte-carlo over 100 trials, randomizing spins, sky position and orientation

PEoft c0

SNR

Ms 0.5 0.05 0.95
300000.000000 1326.223120 597.828983 3251.093975
3000000.000000 5923.811784 2402.520470 16043.513843
10000000.000000 2706.953517 1106.945862 7243.573103

Sky errors

Ms 0.5 0.05 0.95
300000.000000 1.697886 0.010809 16.441206
3000000.000000 0.170845 0.000854 53.248565
10000000.000000 0.858660 0.004087 553.403299

Detailed results

waveform paramters

'''

  • minf : 2e-05
  • maxf : 1
  • fend : None
  • tmin : None
  • tmax : 4.5
  • 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 6.70581547e-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]]
  • t0 : 0.0
  • modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''

Input parameters


- log : log/SO2_post_localization.c0.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
- report : SciRDv1_redbook/report_SO2a_post_localization.c0.md
- N : 100
- random_seed : 9137
- mass_range : [300000.0, 3000000.0, 10000000.0]
- z_range : [1]
- mass_ratio_range : [1, 10]
- fom_range : [30, 50, 75]
- fom_title : Multimessenger astronomy, post merger
- fom_config : SO2/post_localization.c0.yml
- fom_or : SI 3.2.3b
- fom_objective : Detectability/PE for MBHB
- nproc : 24
- fom_obj : For a MBHBs with source-frame mass in the range $10^5-10^7$ M$_\odot$ at $z = 1$ measurement of: (i) sky localization within $1\,{\rm deg^2}$ post merger.

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Localization errors c0

SNR c0