Parameter estimation accuracies from LISA EMRI observations [Table 1] [3.5]
FoM
Science investigation and Observational requirement: SI3.1 OR3.1 from Science requirement document.
- OK 0.00014290462557671617 [0.01 0.001 0.0001] : Absolute error on the quadripole moment.
System with \(M = 10^6 M_\odot\), \(\mu = 30 M_\odot\), spin\(=0.9\), e_pl\(=0.3\), t_pl\(=3.4yr\), z=1.
- OK 2.7497208349935365 [30 10 1] : Absolute error on the sky position in square degree.
System with \(M = 10^6 M_\odot\), \(\mu = 30 M_\odot\), spin\(=0.9\), e_pl\(=0.3\), t_pl\(=3.4yr\), z=1.
- GREAT 0.03386870428768651 [0.3 0.1 0.05] : Relative error on the distance.
System with \(M = 10^6 M_\odot\), \(\mu = 30 M_\odot\), spin\(=0.9\), e_pl\(=0.3\), 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+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 2.701763e+01 | 3.448050e+01 | 3.269416e-05 | 2.071697e-05 | 3.433202e-05 | 1.168097e-04 | 5.832895e-06 | 6.469990e-02 | 2.721490e-04 | 4.672166e+00 | 3.276068e-02 | 1.637549e-02 | 1.637509e-02 |
| 1.000000e+06 | 3.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 4.416915e+01 | 5.393609e+01 | 1.867445e-05 | 1.657338e-05 | 2.038046e-05 | 7.289555e-05 | 2.712811e-06 | 3.386870e-02 | 1.429046e-04 | 2.749721e+00 | 2.014729e-02 | 1.007583e-02 | 1.007583e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 5.000000e-01 | 7.853982e-01 | 2.722117e+01 | 2.805475e+01 | 3.565074e-05 | 1.836684e-05 | 3.334547e-05 | 2.683358e-04 | 1.971688e-06 | 4.842752e-02 | 1.747888e-04 | 3.027401e+00 | 3.258546e-02 | 1.627572e-02 | 1.627523e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 2.000000e-02 | 3.000000e+00 | 9.000000e-01 | 7.853982e-01 | 3.635033e+01 | 2.831940e+01 | 6.056399e-05 | 1.685127e-05 | 2.805557e-05 | 3.743929e-04 | 6.177627e-05 | 3.486348e-02 | 2.762617e-04 | 2.016029e+00 | 2.492968e-02 | 1.246193e-02 | 1.246234e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 1.000000e-01 | 7.853982e-01 | 3.103364e+01 | 2.407460e+01 | 1.535834e-05 | 7.681632e-06 | 1.803523e-05 | 5.689525e-04 | 4.552146e-07 | 3.564829e-02 | 9.995826e-05 | 1.062464e+00 | 3.076974e-02 | 1.538191e-02 | 1.538071e-02 |
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.c1.md
- data : ['SciRDv1_redbook/data_SO3a_s0.c1.pkl', 'SciRDv1_redbook/data_SO3a_s1.c1.pkl', 'SciRDv1_redbook/data_SO3a_s2.c1.pkl', 'SciRDv1_redbook/data_SO3a_s3.c1.pkl', 'SciRDv1_redbook/data_SO3a_s4.c1.pkl']
- tobs : 3.5
- snr_thresh : 20
- fom_title : Parameter estimation accuracies from LISA EMRI observations [Table 1]
- fom_config : SO3/parameter_estimation.c1.yml
- fom_index : -1
- z : 1
- e_pl : [0.3, 0.3, 0.3, 0.02, 0.3]
- t_pl : [3.4, 3.4, 3.4, 3.0, 3.4]
- e0 : None
- p0 : None
- Mbig : [1000000.0, 1000000.0, 1000000.0, 1000000.0, 1000000.0]
- mu : [10.0, 30.0, 10.0, 10.0, 10.0]
- spin : [0.9, 0.9, 0.5, 0.9, 0.1]
- foms : [{'system': 1, 'value': 'di_Q', 'good': 0.001, 'bad': 0.01, 'extra': 0.0001, 'title': 'Absolute error on the quadripole moment.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 30 M_\\odot$, spin$=0.9$, e_pl$=0.3$, t_pl$=3.4yr$, z=1.'}, {'system': 1, 'value': 'dOmega', 'good': 10, 'bad': 30, 'extra': 1, 'title': 'Absolute error on the sky position in square degree.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 30 M_\\odot$, spin$=0.9$, e_pl$=0.3$, t_pl$=3.4yr$, z=1.'}, {'system': 1, 'value': 'di_DL/DL', 'good': 0.1, 'bad': 0.3, 'extra': 0.05, 'title': 'Relative error on the distance.', 'descr': 'System with $M = 10^6 M_\\odot$, $\\mu = 30 M_\\odot$, spin$=0.9$, e_pl$=0.3$, t_pl$=3.4yr$, z=1.'}]