Estimation of EMRI detection horizon z (3.5 yr)
FoM
Redshift corresponding to SNR=20.0 as a function of the system masses.
- OK 2.44 [1.5 2.0 3.0] : Horizon z with M_0=2e+05 and mu_0=10
Detection horizon (z at SNR=20.0) for an EMRI with masses 10 and 2e+05.
- OK 5.35 [4.5 5.0 6.0] : Horizon z with M_0=2e+05 and mu_0=30
Detection horizon (z at SNR=20.0) for an EMRI with masses 30 and 2e+05.
Summary
For different values of the EMRI system mu_0 mass we fixed one value of the system M_0 mass (see table) and generated 400 sources randomizing over the sky position at z=1.0. From this set of sources we selected the sky parameters maximising SNR for each value of mu_0. We then considered multiple M_0 values for each mu_0 and, fixing the sky parameters to the selected optimal values, we computed the z corresponding to SNR=20.0 (rescaled by the duty cycle).
| mu | M |
|---|---|
| 10.000000 | 263665.089873 |
| 30.000000 | 90967.051326 |
