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Main-Sequence Mass-Luminosity Relation

What you are seeing: the steep dependence of stellar luminosity on mass on the main sequence, approximated by piecewise power laws. A 2 MM_\odot star is 16×\sim 16 \times brighter than the Sun; a 10 MM_\odot star is 5000×\sim 5000 \times brighter. Lifetime scales as M/LM / L.

Figure 1. L(M)L(M) on the main sequence.
M / M⊙1.0

WHAT TO TRY

  • Slide the mass up: luminosity climbs far faster (roughly L ~ M^3.5), so a 10 solar-mass star is thousands of times brighter than the Sun. Small mass changes mean huge luminosity changes.
  • Note the lifetime scaling M/L: massive stars burn through their fuel fast and die young despite having more of it. A 10 solar-mass star lives a thousand times shorter than the Sun.
  • Watch the piecewise power law bend: the exponent shifts across mass regimes as the dominant opacity and energy transport change.