Q3 Sirius A is the brightest star in the night sky and has a measured parallax of p=0.377 ". It was observed through a V-band filter at the Anglo-Australian Telescope and the measured integrated flux was FV=1.39×10^−8 erg/cm^2/s. The known zeropoint for the filter is ZPV=−21.1.
(a) Determine the apparent magnitude of Sirius in the V-band.
(b) Determine the distance modulus for Sirius.
(c) Determine the absolute bolometric magnitude (Mbol) of Sirius A assuming the bolometric correction is BC=0.09. (d) Determine the luminosity of Sirius A relative to the Sun (L⊙).
(e) The effective surface temperature of Sirius A is Teff=9940 K. What is its radius relative to the Sun's radius (R⊙) ?