Calculate distance between stars in a globular cluster?

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SUMMARY

The discussion centers on calculating the distance between stars in a globular cluster, specifically using a method based on the approximate distance to the cluster, which is 25,000 light-years (Ly). The calculation involves using the formula 2π(25,000)/60*60*360, resulting in an approximate distance of 0.12 Ly or about 0.037 parsecs (pc). The method emphasizes the use of standard candles, such as variable stars with known properties, to derive these distances accurately.

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caesarborgia2
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Would it be possible to calculate the approximate distance between stars in a globular cluster by doing something simple like this:

Approximate distance to a cluster: 25,000 Ly
Two stars in the cluster just barely resolved in my telescope (resolution about 1 arcsec)

Therefore: 2pi (25,000)/60*60*360

equals approximately 0.12Ly, or about 0.037pc?

Thanks.
 
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that is pretty much how its done. scientists try to find variable stars wth fairly well known properties [standard candles] and muddle their way from there.
 

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