The Sun has an apparent magnitude of m = -26.7. It is about 1.5 x 10^(11) meters from the Earth. One parsec is about 3.1 x 10^(16) meters. Q: What is the distance to the Sun, in parsecs? d = 4.84 x 10^(-6) pc Q: What is the absolute magnitude M of the Sun? (m - M) = 5 log(d) - 5 M = m - [ 5 log(d) - 5 ] = -26.7 - [ -26.6 - 5 ] = +4.88 Q: Is the Sun more or less powerful than Vega? Sun M = +4.88 Vega M = +0.57 Clearly, Vega emits more light than the Sun. In fact, the luminosity of Vega is greater than that of the Sun by a factor L(Vega) -0.4 * (0.57 - 4.88) ------ = 10 L(Sun) = 53