Table C.1.
Orbital radius r0, max at the entry in LISA band (S/N1 yr reaching 10), the corresponding gravitational wave frequency fm = 2(r0, max) and the time spent in LISA band until the ISCO, Tin-band, for various compact objects orbiting M 32 MBH.
| Primordial | White | Neutron | 10 M⊙ | 30 M⊙ | |
|---|---|---|---|---|---|
| BH | dwarf | star | BH | BH | |
| μ/ M⊙ | 10−2 | 0.5 | 1.4 | 10 | 30 |
| r0, max/M (θ = 0) | 9.84 (9.50) | 22.9 (22.7) | 28.0 (27.8) | 40.6 (40.4) | 49.8 (49.6) |
| r0, max/M (θ = π/2) | 8.16 (7.73) | 19.3 (19.1) | 23.7 (23.5) | 34.3 (34.2) | 42.0 (41.9) |
| fm = 2(r0, max) (θ = 0) [mHz] | 0.838 (0.855) | 0.236 (0.237) | 0.174 (0.175) | 0.100 (0.100) | 0.074 (0.074) |
| fm = 2(r0, max) (θ = π/2) [mHz] | 1.109 (1.150) | 0.305 (0.307) | 0.224 (0.225) | 0.128 (0.129) | 0.095 (0.095) |
| Tin-band (θ = 0) [103 yr] | 8.01 (20.06) | 9.63 (11.33) | 7.98 (8.94) | 5.11 (5.43) | 3.88 (4.05) |
| Tin-band (θ = π/2) [103 yr] | 2.09 (9.36) | 4.59 (5.71) | 3.94 (4.59) | 2.59 (2.80) | 1.96 (2.08) |
Notes. The numbers outside (resp. inside) parentheses are for a MBH spin parameter a = 0 (resp. a = 0.98 M). With respect to the equivalent table for Sgr A* (Table 3), note that the primodial BH mass is chosen to be μ = 10−2 M⊙ and that the scale of Tin-band is 103 yr.
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