Analytical effective one-body formalism for extreme-mass-ratio inspirals with eccentric orbits

Chen Zhang,Wen-Biao Han,Shu-Cheng Yang

Table 1. Ratios of HS to HNS with different spin and orbital radii (left); frequency errors compared to the full EOB Hamiltonian (right).

$\tfrac{{H}_{{\rm{S}}}}{{H}_{\mathrm{NS}}}\left(/\nu \right)$ ${r}_{{}_{\mathrm{ISCO}}}$ r = 10 r = 20 a = 0.9 1.3 × 10−1 3.8 × 10−3 6.9 × 10−4 a = 0.5 2.1 × 10−2 2.1 × 10−3 4.1 × 10−4 a = 0.1 2.4 × 10−3 5.3 × 10−4 8.8 × 10−5