How do we determinate the mass of stars

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SUMMARY

Astronomers determine the mass of stars and planets in other solar systems primarily through the mass-luminosity relation (MLR) and Kepler's laws for binary stars. The mass of exoplanets is inferred from the Doppler shift of their parent stars as they exhibit a "wobble." Additionally, the gravitational mass can be calculated by observing the orbital period and dimensions of bodies orbiting around a star, utilizing Newton's law of gravitation. Interferometry is a common method for measuring stellar sizes, while mass measurements are often derived from the MLR.

PREREQUISITES
  • Understanding of the mass-luminosity relation (MLR)
  • Familiarity with Kepler's laws of planetary motion
  • Knowledge of Newton's law of gravitation
  • Basic principles of interferometry in astronomy
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  • Research the application of the mass-luminosity relation (MLR) in stellar astrophysics
  • Study Kepler's laws and their implications for binary star systems
  • Explore the techniques for measuring Doppler shifts in exoplanet studies
  • Investigate the role of interferometry in modern astrophysical measurements
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Astronomers, astrophysicists, and students interested in stellar dynamics, exoplanet research, and the methodologies for measuring celestial masses.

Bjarne
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How do we determinate the mass of stars (or planet) in other solar systems?
 
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The mass of a planet or a star can be infered by observing a body orbiting around it - you have to measure the orbital period (time) and the dimensions of the orbit (radius for circles, semimajor axis for ellipse) and then use Newton's law for gravitation to calculate the gravitating mass. The astronomy textbook example is calculating the masses of two stars that orbit around their common center of mass - the so called binary stars. We know the gravitating mass of the Sun from the periods and distances to its planets.

I think mass of star can be infered from it's spectrum by modelling the processes inside it but that is model dependent, let astronomers say how much its reliable.
 
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Interfereometry is the usual measurement method.
 
Chronos said:
Interfereometry is the usual measurement method.

For size, not mass.
 
Mass measuirements using interfereometry is pretty mainstream these days. See, for example: http://www.iop.org/EJ/article/1538-3881/120/2/1106/990454.web.pdf?request-id=a02eb948-b3dc-4629-8fa1-f6a4ec77fe22
 
Luminosity measurements using interferometry may be mainstream, however the mass is determined using the mass-luminosity relation (MLR), as your link notes.
 
Agreed, I don't see the issue here.
 

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