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Table 1

Corrections to the GW phase in the Fourier space computed within the stationary phase approximation for a quasi-circular binary (see Eq. (12)).

Mechanism γ(β = 0) κ0 γ(β = 1) κ1
Gravitational pull 2 1 4/3 1
Gravitational drag 11/3 η−3(1 − 3η)π−11∕3 3 η−16∕5(1 − 3η)π−3
Accretion – Bondi 11/3 η−3(1 − 3η)π−11∕3 3 η−16∕5(1 − 3η)π−3
Accretion – collisionless 3 η−1π−3 7/3 η−6∕5π−7∕3

Notes. The binary moves in a mediumof density , and it is subjected to accretion, gravitational forces from the matter distribution (assumed to be centered at the binary’s center of mass), and to gravitational drag. Results refer to β = (0, 1) and to collisionless and Bondi accretion, respectively.

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