Parameter estimation accuracies from LISA heavy IMRI observations [Table 5] [3.5]
FoM
Science investigation and Observational requirement: SI3.1 OR3.1 from Science requirement document.
- GREAT 0.08417609444813892 [100 10 1] : Absolute error on the sky position in square degree.
System with \(M = 10^6 M_\odot\), \(\mu = 1000 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
- GREAT 0.002918368255462234 [0.1 0.05 0.01] : Relative error on distance.
System with \(M = 10^6 M_\odot\), \(\mu = 1000 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
- OK 39.41876819362609 [20 25 40] : SNR
System with \(M = 10^6 M_\odot\), \(\mu = 1000 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
- GREAT 0.25348587954034785 [100 10 1] : Absolute error on the sky position in square degree.
System with \(M = 10^6 M_\odot\), \(\mu = 500 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
- GREAT 0.0048633269924789274 [0.1 0.05 0.01] : Relative error on distance.
System with \(M = 10^6 M_\odot\), \(\mu = 500 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
- OK 35.67162409140678 [20 25 40] : SNR
System with \(M = 10^6 M_\odot\), \(\mu = 500 M_\odot\), spin\(=0.9\), e_pl\(=0\), t_pl\(=3.4yr\), z=1
Summary
FIM computation for EMRI systems, using AK and AAK waveforms
| M | mu | z | e_pl | t_pl | spin | lambda | snr_ak | snr_aak | di_M | di_mu | di_spin | di_iota | di_ecc | di_DL/DL | di_Q | dOmega | dz/z | dM/M | dmu/mu |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1.000000e+06 | 1.000000e+03 | 1.000000e+00 | 2.000000e-02 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 1.729439e+02 | 3.941877e+01 | 7.307309e-06 | 3.759031e-06 | 1.678582e-05 | 3.658116e-05 | 3.875513e-07 | 2.918368e-03 | 9.478405e-05 | 8.417609e-02 | 8.582245e-03 | 4.290437e-03 | 4.290167e-03 |
| 1.000000e+07 | 1.000000e+03 | 1.000000e+00 | 2.000000e-02 | 3.400000e+00 | 9.000000e-01 | 1.047198e+00 | 2.227850e+01 | 2.326632e+01 | 3.760480e-04 | 3.346505e-04 | 2.523755e-03 | 3.297482e-03 | 7.962812e-04 | 6.936589e-02 | 1.282823e-02 | 5.928528e+01 | 4.752402e-02 | 2.374840e-02 | 2.372530e-02 |
| 1.000000e+06 | 5.000000e+02 | 1.000000e+00 | 2.000000e-02 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 1.232710e+02 | 3.567162e+01 | 8.569404e-06 | 5.277331e-06 | 2.705803e-05 | 4.125110e-05 | 7.806492e-07 | 4.863327e-03 | 1.439263e-04 | 2.534859e-01 | 1.133835e-02 | 5.667742e-03 | 5.666842e-03 |
Detailed results
Input parameters
- 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
- report : SciRDv1_redbook/report_SO3a_parameter_estimation.c4.md
- data : ['SciRDv1_redbook/data_SO3a_s0.c4.pkl', 'SciRDv1_redbook/data_SO3a_s1.c4.pkl', 'SciRDv1_redbook/data_SO3a_s2.c4.pkl']
- tobs : 3.5
- snr_thresh : 20
- fom_title : Parameter estimation accuracies from LISA heavy IMRI observations [Table 5]
- fom_config : SO3/parameter_estimation.c4.yml
- fom_index : -1
- z : 1
- e_pl : [0.02, 0.02, 0.02]
- t_pl : [3.4, 3.4, 3.4]
- e0 : None
- p0 : None
- Mbig : [1000000.0, 10000000.0, 1000000.0]
- mu : [1000.0, 1000.0, 500.0]
- spin : [0.9, 0.9, 0.9]
- foms : [{'system': 0, 'value': 'dOmega', 'good': 10, 'bad': 100, 'extra': 1, 'title': 'Absolute error on the sky position in square degree.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 1000 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}, {'system': 0, 'value': 'di_DL/DL', 'good': 0.05, 'bad': 0.1, 'extra': 0.01, 'title': 'Relative error on distance.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 1000 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}, {'system': 0, 'value': 'snr_aak', 'good': 25, 'bad': 20, 'extra': 40, 'title': 'SNR', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 1000 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}, {'system': 2, 'value': 'dOmega', 'good': 10, 'bad': 100, 'extra': 1, 'title': 'Absolute error on the sky position in square degree.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 500 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}, {'system': 2, 'value': 'di_DL/DL', 'good': 0.05, 'bad': 0.1, 'extra': 0.01, 'title': 'Relative error on distance.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 500 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}, {'system': 2, 'value': 'snr_aak', 'good': 25, 'bad': 20, 'extra': 40, 'title': 'SNR', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 500 M_\\odot$, spin$=0.9$, e_pl$=0$, t_pl$=3.4yr$, z=1'}]