# Distance Modulus of a Star cluster

#### James Beedy

Problem Statement
I need to understand how to figure out the distance modulus to a star.

Question: If the distance of modulus of a star cluster is 12, what is the distance?
Relevant Equations
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I need to understand how to figure out the distance modulus to a star: If the distance of modulus of a star cluster is 12, what is the distance?

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#### collinsmark

Homework Helper
Gold Member
I need to understand how to figure out the distance modulus to a star: If the distance of modulus of a star cluster is 12, what is the distance?
Hello @James Beedy,

Ya' know, you can easily google "distance modulus of a star" and you'll get detailed explanations in the first few hits. It's not hard to find.

Per PF rules, you must show that you've put at least some effort into solving the problem.

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(At the risk of offering too much help -- again, a quick google search will give you all of this)

If we define our terms as:
$m:$ apparent magnitude of the object
$M:$ absolute magnitude of the object
$\mu:$ distance modulus
$d:$ distance, in units of parsecs

then the distance modulus is $\mu = m - M$, and is related to the distance by the following formula,

$m - M = 5 \log_{10} d - 5$

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