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 0.027691402928853602 [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 0.0017131716729020074 [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
- GREAT 45.3244922062556 [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 0.08347690609142663 [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 0.002897669401263095 [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
- GREAT 40.05040600316854 [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 | 2.453062e+02 | 4.532449e+01 | 4.445816e-06 | 2.238576e-06 | 1.014314e-05 | 2.364121e-05 | 2.608137e-07 | 1.713172e-03 | 5.551977e-05 | 2.769140e-02 | 6.359737e-03 | 3.176117e-03 | 3.183681e-03 |
| 1.000000e+07 | 1.000000e+03 | 1.000000e+00 | 2.000000e-02 | 3.400000e+00 | 9.000000e-01 | 1.047198e+00 | 2.681608e+01 | 2.589663e+01 | 2.879965e-04 | 2.646644e-04 | 1.892821e-03 | 2.406387e-03 | 6.191998e-04 | 5.035980e-02 | 9.311401e-03 | 3.068416e+01 | 3.454055e-02 | 1.725829e-02 | 1.725182e-02 |
| 1.000000e+06 | 5.000000e+02 | 1.000000e+00 | 2.000000e-02 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 1.737133e+02 | 4.005041e+01 | 5.057740e-06 | 3.047014e-06 | 1.614817e-05 | 2.482610e-05 | 4.883629e-07 | 2.897669e-03 | 8.314884e-05 | 8.347691e-02 | 8.501506e-03 | 4.248487e-03 | 4.248570e-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'}]