Question

The distance modulus of a star is − 0.1. At what distance is it from the earth?

Answer 1

Answer on Question# 61084 --Physics -- Astronomy -- Astrophysics

The distance modulus of a star is $\sim 0.1$. At what distance is it from the earth?

Answer:

$$\mu = -0.1$$

We have that the in parsecs

$$\log_{10} d = 1 + \frac{\mu}{5}$$ $$d = 10^{0.98} pc = 9.55 pc$$ $$1 pc = 206265 \text{ a.u.}$$ $$d = 9.55 pc = 1969815 \text{ a.u.}$$

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