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Table 1.

Instantaneous EMRI+DP (), EMRI (EMRI), and DP (DP) rates produced in the snapshots we investigated.

M [M] t [Myr] [yr−1] N ˙ EMRI cl $ \dot{N}^{\mathrm{cl}}_{\mathrm{EMRI}} $ [yr−1] EMRI [yr−1] N ˙ DP cl $ \dot{N}^{\mathrm{cl}}_{\mathrm{DP}} $ [yr−1] DP [yr−1]
104 0.58 5.9 × 10−7 5.3 × 10−7 4.0 × 10−7 6.5 × 10−8 1.9 × 10−7
105 11 6.6 × 10−7 3.1 × 10−7 2.9 × 10−7 3.7 × 10−7 3.8 × 10−7
3 × 105 25 3.5 × 10−7 4.9 × 10−8 6.7 × 10−8 3.0 × 10−7 2.8 × 10−7
3 × 105 45 7.4 × 10−7 2.0 × 10−7 2.1 × 10−7 5.4 × 10−7 5.3 × 10−7

Notes. We report estimates according to our formulation Eq. (62) (no superscript) based on the transfer function S(a0), and the classical estimates Eq. (64) (superscript cl) based solely on the critical semi-major axis ac = 0.01 Rinf.

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