Table 3.
Orbital radius r0, max at the entry in LISA band (S/N1 yr ⑾ 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 Sgr A*.
| Primordial | White | Neutron | 10 M⊙ | 30 M⊙ | |
|---|---|---|---|---|---|
| BH | dwarf | star | BH | BH | |
| μ/ M⊙ | 10−3 | 0.5 | 1.4 | 10 | 30 |
| r0, max/M (θ = 0) | 12.6 (12.3) | 41.5 (41.3) | 50.3 (50.3) | 72.0 (72.0) | 88.0 (88.0) |
| r0, max/M (θ = π/2) | 10.7 (10.4) | 35.3 (35.1) | 42.4 (42.3) | 59.6 (59.6) | 72.8 (72.8) |
| fm = 2(r0, max) (θ = 0) [mHz] | 0.351 (0.355) | 0.059 (0.059) | 0.044 (0.044) | 0.026 (0.026) | 0.019 (0.019) |
| fm = 2(r0, max) (θ = π/2) [mHz] | 0.449 (0.458) | 0.075 (0.075) | 0.057 (0.057) | 0.034 (0.034) | 0.025 (0.025) |
| Tin-band (θ = 0) [105 yr] | 8.61 (14.51) | 3.00 (3.18) | 2.35 (2.35) | 1.38 (1.38) | 1.02 (1.02) |
| Tin-band (θ = π/2) [105 yr] | 3.61 (7.52) | 1.55 (1.67) | 1.18 (1.24) | 0.648 (0.648) | 0.481 (0.481) |
Notes. The numbers outside (resp. inside) parentheses are for Sgr A* spin parameter a = 0 (resp. a = 0.98 M).
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