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