Problem A.2: Brightness of a Binary Star (4 Points)
A binary star system consists of two stars very close to one another. The two stars have apparent
magnitudes of m1 = 2 and m2 = 3. The apparent magnitude m is defined with a stars’ flux
density F , compared to a reference star with m0 and F0:
m − m0 = −2.5 log10
( F
F0
)
Calculate the total magnitude of the binary star system.