Fundamental effective temperature measurements for eclipsing binary stars -- V. The circumbinary planet system EBLM J0608-59

EBLM J0608-59 / TOI-1338 / BEBOP-1 is a 12th-magnitude, F9V star in an eclipsing binary with a much fainter M-dwarf companion on a wide, eccentric orbit (P=14.6 d). The binary is orbited by two circumbinary planets: one transiting on a 95-day orbit and one non-transiting on a 215-day orbit. We have used high-precision photometry from the TESS mission combined with direct mass measurements for the two stars published recently to measure the following model-independent radii: $R_1 = 1.32 \pm 0.02 R_{\odot}$, $R_2 = 0.309 \pm 0.004 R_{\odot}$. Using $R_1$ and the parallax from Gaia EDR3 we find that this star's angular diameter is $\theta = 0.0309 \pm 0.0005$ mas. The apparent bolometric flux of the primary star corrected for both extinction and the contribution from the M-dwarf ($<0.4$%) is ${\mathcal F}_{\oplus,0} = (0.417\pm 0.005)\times10^{-9} {\rm \,erg\,cm}^{-2} {\rm \,s}^{-1}$. Hence, this F9V star has an effective temperature $T_{\rm eff,1} = 6031{\rm\,K} \pm 46{\rm \,K\,(rnd.)} \pm 10 {\rm \,K\,(sys.)}$. EBLM J0608-59 is an ideal benchmark star that can be added to the sample of such systems we are establishing for "end-to-end" tests of the stellar parameters measured by large-scale spectroscopic surveys.