# A Sirius Matter

**Classical Mechanics**Level 3

Find the luminosity of the Sun, expressed as a fraction of the luminosity of the star Sirius.

You may use the following information:

Radius of Sirius = 1.711 Solar Radii

*solar radii is the radius of the Sun

Temperature of Sirius = 9940K

Temperature of Sun = 5778K

Stefan-Boltzmann Law = \(L=a\sigma { T }^{ 4 }\)

where a is area, \(\sigma\) is the Stefan-Boltzmann constant and T is temperature.

Leave your answer to 3 decimal places.