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## Homework Statement

In an visual binary star system,the apparent magnitude of the primary star is m=9.8 and its spectrral type is G2V.The angular semi-major axis is φ=0''.1 and the period of the system is 24y.Find the distance of the system r and the two masses.The Sun's absolute magnitude is a given.(The luminance-mass relation ##L \propto M^{3.5}## is also known.)

## Homework Equations

$$ M_1 +M_2 = \frac {A^3}{P^2}$$

$$ A= \frac{\phi}{\pi}$$

## The Attempt at a Solution

$$ M-m=5-5logr $$

$$ M-M_{sun} = 2.5 log (\frac{L_{sun}}{L} = 3.5 x 2.5 log( \frac{M_{sun}}{M_1} ) ) $$

$$ \pi = \frac{1}{r}$$

And I'm stuck.