Empirical establishing of Mass-Radius relation for stars

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Discussion Overview

The discussion revolves around the empirical establishment of the Mass-Radius relation for stars, focusing on the need for observational data to create a M(R) relation diagram. Participants explore methods to obtain stars with known mass and radius from astronomical databases.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks to empirically establish the Mass-Radius relation and inquires about catalogues of stars with known mass and radius.
  • Another participant suggests using the Stefan-Boltzmann relationship to determine radius and mentions that mass can be determined from binary stars.
  • A participant considers using the Eddington relation (Luminosity-Mass) to estimate mass but questions whether this assumption is valid for their purpose.
  • Concerns are raised about the validity of using the Eddington relation, with a suggestion to find stars by mass instead.
  • A participant shares that they found several catalogues in the Aladin database that contain relevant data, although some are indirect measures related to temperature and luminosity.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the best approach to estimate mass and the availability of catalogues. There is no consensus on the validity of using the Eddington relation for the task at hand, and the discussion remains unresolved regarding the best methods to obtain the necessary data.

Contextual Notes

Participants mention limitations in finding specific catalogues and the need for further analysis of the data available in the Aladin database. The discussion reflects varying degrees of familiarity with the databases and methods for determining stellar properties.

Pawell
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Hello,

I need to determine Mass-Radius relation for stars, as I prepare myslef to finish my study work. I know it's possible to evaluate it theoritically in the form - M~Rn, but I have to prove it using empirical, observational data. Making a M(R) relation diagram is indispensable so I have to find somewhere stars of known mass and radius. So, are there any this kind of stars catalougues? I can't find any way to filter interesting me information from Simbad and Aladin astronomical databases in the net. Is there any option to filter stars of known radius and mass in there? Supposly, there is no such information.

Please, help.
Regards.
 
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Radius is determined from absolute magnitude and the Stefan-Boltzmann relationship. Mass is determined from binaries, so you should filter on that.
 
Thank You, your reply was very helpful. Would it be ok if I use Eddington relation: Luminosity-Mass (L~M3) to estimate mass of a star? There are 345 results for absolute magnitude and effective temperature filters. I think it should be enough for my diagram. Anyway, I can't find masses for binaries, where are they in data?

For example, a double star in Simbad:

http://simbad.u-strasbg.fr/simbad/sim-id?Ident=@747&Name=CCDM J21148+3803AB&submit=submit
 
Last edited:
Pawell said:
Thank You, your reply was very helpful. Would it be ok if I use Eddington relation: Luminosity-Mass (L~M3) to estimate mass of a star?

You'll have to ask whomever is giving you this assignment. This seems to me close to assuming what you want to prove.

As far as finding the right catalog, I am afraid I can't help you on that.
 
Vanadium 50 said:
This seems to me close to assuming what you want to prove.

Probably you're right, I suspected that too, that's why I asked. It would me more judicious to find stars by mass yet, I don't believe there is no such a catalogue! Anybody? Anyway, thanks for help. I'll keep seeking.
 
I have found plenty of needed catalogues in Aladin database, however with different types of data, according to mass-radius only or indirectly: temperature, luminosity - just to set the radius. I go shares with anyone interested in this subject, list of those catalogues below:

Nearest stars until 10pc (Zakhozhaj, 1979-1996)

Catalogue of stars within ten parsecs of the Sun

Spectroscopic study of red giants in M15 (Meszaros+, 2008)

Red giant stars in clusters. II. M13 and M92 (Meszaros+, 2009)

M/L relation of intermediate-mass stars (Malkov+, 2007)

What I need yet is to have lots of spare time to analyse data..
Thanks, and wish me good luck!
 

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