Equilibrium temperature of a circumbinary planet ($T_{\mathrm{eq}}$)

For blackbody stars of radii $R_A,R_B$ and temperatures $T_A,T_B$, a distant circumbinary planet with Bond albedo $A_B$ and uniform global reradiation has planetary equilibrium temperatureThis neglects internal cooling, eccentricity, and corrections from finite binary separation. The stars heat the planet through the sum of their absorbed bolometric fluxes, not an average of their temperatures.