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 star is brighter than the Sun; a 10 star is brighter. Lifetime scales as .
M / M⊙1.0
L:1.0 L⊙
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.