质光关系计算器

使用此质光关系计算器快速获得准确的计算结果。

M_sun

光度 (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

公式

## 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.

计算示例

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.

常见问题

Why does luminosity rise so steeply with mass?

Core temperature and pressure increase rapidly with mass, dramatically accelerating nuclear fusion rates.

Does this work for all stars?

Only for main-sequence (hydrogen-burning) stars. Giants, white dwarfs, and other evolved stars do not follow this relation.

What is the range of validity?

Roughly 0.08 to 150 M_sun. Below 0.08 M_sun, objects cannot sustain hydrogen fusion (brown dwarfs). Above 150 M_sun, the Eddington limit makes stars unstable.

相关计算器