The Relative Luminosity from Relative Size and Temperature calculator computes the relative luminosity based on the relative size and the relative temperature.
INSTRUCTIONS: Enter the following:
- (T) This is the Relative Temperature. It is the absolute temperature divided by the temperature of the reference object.
- (R) This is the Relative Size. It is the radius divided by the radius of the reference object.
Relative Luminosity: The calculator returns the relative luminosity (L)
The Math / Science
The formula for the relative luminosity of a star based on the relative temperature and size is:
L = R2•T4
where:
- L = Relative luminosity
- R = Relative Size
- T = Relative Temperature
For example, suppose you have a star with 10 times the radius of the Sun but half the absolute temperature. The luminosity of this star would be:
L = 102 • (0.5)4
or 6.25 times the luminosity of the Sun.
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