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Kepler’s Laws and Stellar Masses

Learn about binary stars, Kepler’s laws of planetary motion, and the mass-luminosity relation for main sequence stars. Explore how stars orbit each other and the relationship between mass and luminosity.

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Kepler’s Laws and Stellar Masses

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  1. Chapter 5: Binary stars and stellar masses Albireo: The Boy Scout star

  2. Kepler’s Three Laws of Planetary Motion Planetary orbits are elliptical A planet sweeps out equal areas in equal times P2 = a3

  3. M2 r2 r1 CM M1 Two stars orbit their center of mass

  4. M2 M1 a Make one star the focus of an ellipse

  5. Visual binary: not viewed face on

  6.  Centauri system (visual binary)

  7. Spectroscopic binary

  8. MASS-LUMINOSITY RELATION (for MAIN SEQUENCE STARS) L = M where [L] = L and [M] = M Approximately: M < 0.3 M = 1.8 0.3 M< M < 3 M = 3.5 M > 3 M = 2.8

  9. OBSERVED APPROXIMATE FITS

  10. M2 a2 a1 M1

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