Question:
Delta has a mass of 9.5 solar masses. How many more times more luminous is star Delta than star Gamma? Also, what is the difference in their absolute magnitudes? Finally, if Gamma is 19 light years from the Sun, how far from the Sun must Delta be to tha the same apparent magnitude as Gamma?
Answer:
You first need to apply a mass - luminosity relationship. I believe Kepler suggests M = k L^3.5. My results show Gamma:Delta luminosity ratio is 1:3184.
As for absolute magnitudes you need to log things I believe.
You will need m - M = -5 * 5Log(Distance)
This sounds like first year astrophysics coursework. You should attend workshops if you are having trouble.
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