Multimessenger astronomy, enabling pre-localization of platinum binaries [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 \(1\,{\rm deg^2}\) 3 days before merger.
Probability to get the error in the sky better than 10 deg^2 7.0 d before the merger is 78.58130235415133
Probability to get the error in the sky better than 1 deg^2 3.0 d before the merger is 19.805169878334695
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 100 trials, randomizing spins, sky position and orientation
PEoft c0
SNR
| time | 0.5 | 0.05 | 0.95 |
|---|---|---|---|
| 30.0 d | 92.46450112286249 | 49.36393642605614 | 164.46530953137898 |
| 7.0 d | 201.8798449056602 | 85.59049280168898 | 389.3578281820975 |
| 3.0 d | 294.8732295654776 | 123.3903846275418 | 589.4930789155185 |
| 1.0 d | 478.99829637553523 | 199.15389381829777 | 968.3880030523419 |
| 10.0 h | 752.424461079342 | 294.1119887372067 | 1601.9210594818073 |
| 4.0 h | 1406.161963686674 | 529.4108419368098 | 3263.9072764742095 |
| 1.0 h | 2818.249470744856 | 1211.3061435797488 | 5847.912913542696 |
| 0.0 h | 4065.1714253375358 | 1839.0191987304736 | 9835.893817079239 |
Sky errors
| time | 0.5 | 0.05 | 0.95 |
|---|---|---|---|
| 30.0 d | 10.93363388732794 | 2.0796377632406506 | 34.26151727613391 |
| 7.0 d | 3.9413143419786354 | 0.4210022275606148 | 16.557436019099494 |
| 3.0 d | 3.0433652303736443 | 0.28548200546399394 | 12.464381554184268 |
| 1.0 d | 2.3068938660288736 | 0.10456534031730912 | 9.857682487815458 |
| 10.0 h | 2.049732921696946 | 0.057959006969035005 | 8.741519414543353 |
| 4.0 h | 1.7947499719231712 | 0.024237451894025007 | 7.936935398592637 |
| 1.0 h | 1.1269160440957298 | 0.007347380675503348 | 6.809902391879885 |
| 0.0 h | 0.17974211572389892 | 0.0011820380390166524 | 1.016061765112577 |
Tc errors
| time | 0.5 | 0.05 | 0.95 |
|---|---|---|---|
| 30.0 d | 0.033891046022704215 | 0.019137059221898112 | 0.06361947095849915 |
| 7.0 d | 0.0029766371968373965 | 0.0017080773932564726 | 0.005814877025502527 |
| 3.0 d | 0.0010208966355791734 | 0.0006128223722891815 | 0.0019625365945373503 |
| 1.0 d | 0.00029392223585779554 | 0.0001830197492996516 | 0.0005245003140706913 |
| 10.0 h | 0.00013936674896180616 | 7.280446815034201e-05 | 0.00023172960051733835 |
| 4.0 h | 6.99291873927377e-05 | 3.220229490653852e-05 | 0.0001674254015770849 |
| 1.0 h | 4.738012168075839e-05 | 1.0974477638971796e-05 | 0.00014641627865535139 |
| 0.0 h | 1.785135688589153e-05 | 2.0438457395767623e-06 | 5.4195997581678924e-05 |
Detailed results
Detection probability localization 7.0 d
Detection probability localization 3.0 d
waveform paramters
'''
- 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 6.70581547e-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 : 0.7
- 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 : 0.89
- 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_localization.c0.md
- N : 100
- random_seed : 9137
- mass_range : [300000.0]
- z_range : [0.3]
- mass_ratio_range : [1, 10]
- 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>]
- sky_thr_fom : [10, 1]
- coal_thr_fom : ['nan']
- fom_range : ['nan', 'nan', 'nan']
- time_fom_sky : [<Quantity 7. d>, <Quantity 3. d>]
- time_fom_coal : ['nan']
- fom_title : Multimessenger astronomy, enabling pre-localization of platinum binaries
- fom_config : SO2/localization.c0.yml
- fom_or : SI 3.2.3a
- fom_objective : Detectability/PE for MBHB
- nproc : 24
- 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 $1\,{\rm deg^2}$ 3 days before merger.