Using absolute magnitudes for the sun of mb = 5.48, mv = 4.83, and mr = 4.42, calculate the fluxes fλ (in units of erg cm−2 s −1 ˚a−1 ) and fν (in units of jy) received at earth from the sun when observing with the b, v , and r filters. ignore any absorption by the earth’s atmosphere.
(c) the st magnitude system is designed so that, for any filter, apparent magnitude zero corresponds to fλ = 3.63 × 10−9 erg cm−2 s −1 ˚a−1 . determine the apparent and absolute b, v , and r magnitudes of the sun in the st system.
(d) the ab magnitude system is designed so that, for any filter, apparent magnitude zero corresponds to fν = 3.63 × 10−20 erg cm−2 s −1 hz−1 = 3630 jy. determine the apparent and absolute b, v , and r magnitudes of the sun in the ab system.