Free Mass-Luminosity Relation Calculator

Estimate a main-sequence star's luminosity from its mass using the empirical relation L/L_sun ~ (M/M_sun)^3.5.

M_sun

Luminosity (L_sun)

1.0000 L_sun

Luminosity (W)382,800,000,000,000,000,000,000,000.000 W

Luminosity (L_sun) vs Stellar Mass

Mass-Luminosity Relation

For main-sequence stars, luminosity increases steeply with mass:

L / L_sun ≈ (M / M_sun)^3.5

This is an empirical fit. The exponent varies from about 2.3 for very low-mass stars to about 4 for massive stars, with 3.5 being a good average.

A 10 M_sun star is ~3162 times as luminous as the Sun.

Example Calculation

A 2 solar-mass star.

  1. 01L/L_sun = 2^3.5
  2. 02= 2^3 × 2^0.5 = 8 × 1.414 = 11.31
  3. 03About 11.3 times the Sun's luminosity.

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