Relative Luminosity from relative size and temperature

Not Reviewed
Equation / Last modified by KurtHeckman on 2019/08/16 00:18
`L = `
Rating
ID
sspickle.Relative Luminosity from relative size and temperature
UUID
94be702b-3e0e-11e7-9770-bc764e2038f2

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.

Astronomy Calculators