Enter the luminosity and temperature of a star to calculate the Stellaris Constant. This constant is a dimensionless number that helps in the classification of stars.

Stellaris Constant Formula

The following formula is used to calculate the Stellaris Constant.

S<sub>c</sub> = L / T<sup>4</sup>

Variables:

  • Sc is the Stellaris Constant (dimensionless)
  • L is the luminosity of the star (in solar luminosities L)
  • T is the temperature of the star (in Kelvin)

To calculate the Stellaris Constant, divide the luminosity of the star by the fourth power of its temperature.

What is the Stellaris Constant?

The Stellaris Constant is a dimensionless number that is derived from a star’s luminosity and temperature. It is used in astrophysics to classify stars and understand their properties. The constant is named after the popular space strategy game Stellaris, which features a universe filled with various star systems and celestial phenomena.

How to Calculate the Stellaris Constant?

The following steps outline how to calculate the Stellaris Constant.


  1. First, determine the luminosity of the star (L) in solar luminosities (L).
  2. Next, determine the temperature of the star (T) in Kelvin.
  3. Next, gather the formula from above = Sc = L / T4.
  4. Finally, calculate the Stellaris Constant (Sc).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Luminosity of the star (L) = 5 L

Temperature of the star (T) = 6000 K