- #1

goldilocks

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## Homework Statement

2 solar type stars are in a close binary system. Each indivual star has an apparent brightness of m = 10 mag.

Determine the apparent magnitudes of the combined system of the 2 stars assuming they cannot be resolved as individual objects. Determine the minimum brightness for this eclipsing binary when 100%, 75%, 50% and 25% of the stellar survace are covered during the eclipse.

## Homework Equations

m

_{1}- m

_{2}= -2.5 log(f

_{1}/f

_{2})

## The Attempt at a Solution

m1 - m2 = -2.5 log (f1/f2)

10-10 = -2.5log(f1/f2)

f1/f2 =1

f1=f2

m1+2 - m2 = -2.5 log (f1+f2 \ f2) f1 = f2

m1+2 - m2 = -2.5 log (2f1 \ f1)

m1+2 - m2 = -2.5 log 2

m1+2 = -2.5log2 + 5 mag

m1+2=4.247425011

m1+2 = 4.25 mag

Then I'm not sure how to continue from here - any help would be most appreciated!