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Magister
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Is it possible to calculate the radii of a star knowing its mass, luminosity and effective temperature?
Thanks
Thanks
Magister said:Is it possible to calculate the radii of a star knowing its mass, luminosity and effective temperature?
Thanks
Magister said:Do you have any idea where this formula cames from?
[tex]
R=M^{0.8}
[/tex]
The answer to your question is yes, if it is a "main sequence" star.
Magister said:Edit: Thanks for the book recommendation
To calculate the radius of a star, you will need to know its mass, luminosity, and temperature. You can use the equation R = √(L/4πσT4), where R is the radius, L is the luminosity, σ is the Stefan-Boltzmann constant, and T is the temperature.
The Stefan-Boltzmann constant (σ) is a physical constant that relates the temperature of an object to its thermal radiation. Its value is approximately 5.67 x 10-8 W/m2K4.
To measure the mass of a star, you can use the equation M = (4πR2σT4)/L, where M is the mass, R is the radius, σ is the Stefan-Boltzmann constant, and T is the temperature. You can also use observational techniques such as radial velocity or gravitational lensing to estimate the mass of a star.
Yes, you can calculate the radius of a star using only its luminosity and temperature. However, this method assumes that the star is a perfect blackbody radiator, which may not be the case for all stars. It is recommended to also use the star's mass when calculating its radius for a more accurate result.
When calculating star radii, you may need to convert between different units such as meters, kilometers, and solar radii. To do this, you can use conversion factors such as 1 solar radius = 6.957 x 108 meters, or 1 meter = 1.057 x 10-9 solar radii. Make sure to keep track of units and use consistent units throughout your calculations.