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 0.00017686487945133472 [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 5.910321757094522 [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.
- OK 0.0501688096468207 [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 | 1.978109e+01 | 2.581824e+01 | 4.474418e-05 | 2.719090e-05 | 4.459451e-05 | 1.621977e-04 | 8.614286e-06 | 9.349864e-02 | 3.419807e-04 | 8.935676e+00 | 4.738535e-02 | 2.366512e-02 | 2.366457e-02 |
| 1.000000e+06 | 3.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 9.000000e-01 | 7.853982e-01 | 3.081882e+01 | 3.795754e+01 | 2.421259e-05 | 2.208462e-05 | 2.585340e-05 | 9.646426e-05 | 3.280489e-06 | 5.016881e-02 | 1.768649e-04 | 5.910322e+00 | 2.893470e-02 | 1.445116e-02 | 1.445143e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 5.000000e-01 | 1.047198e+00 | 2.007257e+01 | 2.590733e+01 | 5.084982e-05 | 2.525681e-05 | 4.915262e-05 | 3.624881e-04 | 2.725510e-06 | 7.500835e-02 | 2.925486e-04 | 6.484674e+00 | 4.472447e-02 | 2.229806e-02 | 2.229730e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 2.000000e-02 | 3.000000e+00 | 9.000000e-01 | 1.047198e+00 | 2.562522e+01 | 2.502593e+01 | 8.833951e-05 | 2.281145e-05 | 4.256833e-05 | 4.904696e-04 | 8.303786e-05 | 5.128005e-02 | 3.884204e-04 | 4.685875e+00 | 3.695745e-02 | 1.839062e-02 | 1.839217e-02 |
| 1.000000e+06 | 1.000000e+01 | 1.000000e+00 | 3.000000e-01 | 3.400000e+00 | 1.000000e-01 | 1.000000e-02 | 2.845720e+01 | 2.091869e+01 | 1.786250e-05 | 1.023434e-05 | 1.011009e-05 | 3.602365e-02 | 6.191112e-07 | 6.041101e-01 | 3.913463e-05 | 8.598759e-01 | 9.836197e-01 | 3.081840e-01 | 3.081790e-01 |
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.'}]