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Kepler third law

Approximating the last orbit by $r=6GM/c^2$ gives
$$
T=12\pi\sqrt6\,\frac{GM}{c^3}.
$$
The dominant quadrupole gravitational-wave frequency is twice the orbital frequency, $f_{\rm GW}=2/T$.


Last-orbit frequency of a compact binary

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4 / 37B / b / i / Solution

Last-orbit frequency of a compact binary

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Last-orbit frequency of a compact binary

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