Circular-binary quadrupole radiation (${\omega }^2=Gm/(4R^3),{\omega }_{\mathrm{GW}}=2\omega$)

Two equal masses $m$ orbiting their centre of mass at radius $R$ have separation $2R$. Newton's law of universal gravitation gives the displayed orbital frequency. Their mass quadrupole moment varies at twice that frequency, producing gravitational radiation with two gravitational wave polarizations. For inclination $\iota$, its leading plus and cross amplitudes are proportional to $1+{\cos }^2\iota$ and $2\cos \iota$, respectively. Face-on radiation is circularly polarized; edge-on radiation is linearly polarized.