Parameter estimation accuracies from LISA ligth IMRI observations [Table 4] [3.5]
FoM
Science investigation and Observational requirement: SI3.1 OR3.1 from Science requirement document.
- OK 2.308243876927056 [10 3 1] : Absolute error on the sky position in square degree.
System with \(M = 1.10^5 M_\odot\), \(\mu = 10 M_\odot\), spin\(=0\), e_pl\(=0\), t_pl\(=2.4yr\), z=0.5
- OK 0.06768672533042608 [0.3 0.1 0.05] : Relative error on distance.
System with \(M = 1.10^5 M_\odot\), \(\mu = 10 M_\odot\), spin\(=0\), e_pl\(=0\), t_pl\(=2.4yr\), z=0.5
- GREAT 52.80914410978173 [20 25 40] : SNR
System with \(M = 1.10^5 M_\odot\), \(\mu = 10 M_\odot\), spin\(=0\), e_pl\(=0\), t_pl\(=2.4yr\), z=0.5
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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 5.000000e+04 | 1.000000e+01 | 5.000000e-01 | 2.000000e-02 | 2.400000e+00 | 1.000000e-02 | 7.853982e-01 | 2.397275e+01 | 3.881459e+01 | 1.593768e-05 | 7.549015e-06 | 2.003051e-05 | 1.368574e-02 | 6.091681e-08 | 9.769198e-02 | 3.273013e-04 | 3.435020e+00 | 3.853706e-02 | 1.282948e-02 | 1.283016e-02 |
| 1.000000e+05 | 1.000000e+01 | 5.000000e-01 | 2.000000e-02 | 2.400000e+00 | 1.000000e-02 | 7.853982e-01 | 3.381199e+01 | 5.280914e+01 | 2.678102e-05 | 1.478812e-05 | 8.018455e-05 | 2.504990e-02 | 4.883640e-07 | 6.768673e-02 | 6.443080e-04 | 2.308244e+00 | 2.857787e-02 | 9.515746e-03 | 9.528357e-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.c3.md
- data : ['SciRDv1_redbook/data_SO3a_s0.c3.pkl', 'SciRDv1_redbook/data_SO3a_s1.c3.pkl']
- tobs : 3.5
- snr_thresh : 20
- fom_title : Parameter estimation accuracies from LISA ligth IMRI observations [Table 4]
- fom_config : SO3/parameter_estimation.c3.yml
- fom_index : -1
- z : 0.5
- e_pl : [0.02, 0.02]
- t_pl : [2.4, 2.4]
- e0 : None
- p0 : None
- Mbig : [50000.0, 100000.0]
- mu : [10.0, 10.0]
- spin : [0.01, 0.01]
- foms : [{'system': 1, 'value': 'dOmega', 'good': 3, 'bad': 10, 'extra': 1, 'title': 'Absolute error on the sky position in square degree.', 'descr': 'System with $M = 1.10^5 M_\\odot$, $\\mu = 10 M_\\odot$, spin$=0$, e_pl$=0$, t_pl$=2.4yr$, z=0.5'}, {'system': 1, 'value': 'di_DL/DL', 'good': 0.1, 'bad': 0.3, 'extra': 0.05, 'title': 'Relative error on distance.', 'descr': 'System with $M = 1.10^5 M_\\odot$, $\\mu = 10 M_\\odot$, spin$=0$, e_pl$=0$, t_pl$=2.4yr$, z=0.5'}, {'system': 1, 'value': 'snr_aak', 'good': 25, 'bad': 20, 'extra': 40, 'title': 'SNR', 'descr': 'System with $M = 1.10^5 M_\\odot$, $\\mu = 10 M_\\odot$, spin$=0$, e_pl$=0$, t_pl$=2.4yr$, z=0.5'}]