The luminosity (brightness) L, radius R, and temperature T of a star are related by the formula:
However, we can simplify the formula when comparing two stars by taking
ratios. If we denote the luminosity, radius and temperature of the sun
by ,
, and
, respectively, we
can set up a ratio:
Example:
If another star has the same radius as the Sun, but a temperature twice
that of the sun, how many times more luminous is this star? Here we
do not need any absolute measures of temperature or luminosity, only
ratios. The ratio () = 2 and the ratio (
) = 1.
Thus (
) =
= 16. The second star is 16 times as
bright as the Sun.