# Eclipsing binary problem im really frustrated

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Eclipsing binary problem!!! im really frustrated!!!

I have been looking at this problem for a while and i am really getting frustrated. I asked my astronomy teacher, but we are both stumped. This isnt graded, but i really need to learn how to do it for science olympiad.

Here it is. I have an eclipsing binary system with a period of 1 year. Star Q has 800 solar luminosities, while the other star, star R, has 5 solar luminosities.
the radius of star R is 1,000,000 km, and it is .75 solar masses. Its apparent magnitude is 11.6.
It does not say whether or not the stars are main sequence.

a) what is the apparent magnitude of star R?
b) what is the seperation of the two stars in km
c) what is the distance to the star system in parsecs.
d) what is the absolute magniude of star R.

the answer for the above questions are as follows:
a) 5.8-6.3
b) 7-8x 10^9 km
c) 470-530 parsecs
d) 2.8-3.4

i have the answers but i dont know how to get to them and i have been trying for over an hour and a half. please help someone!!!

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