# Ts question has to do with binary star systems, where ‘i’ is the angle of inclination of the system. Calculate the

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the solid angle of a sphere where the observer is in the direction of the z-axis, with each solid angle element weighted by sin 3 (theta). v 1 =100 km/s v 2 =200 km/s Orbital period=2 days M 1 =5.74e33 g M 2 =2.87e33 g |

Ts question has to do with binary star systems, where ‘i’ is the angle of inclination of the system. Calculate the mean expectation value of the factor sin 3 i, i.e., the mean value it would have among an ensemble of binaries with random inclinations. Find the masses of the two stars, if sin 3 i has its mean value. nt: In spherical coordinates, (theta, p), integrate over the solid angle of a sphere where the observer is in the direction of the z-axis, with each solid angle element weighted by sin 3 (theta). v 1 =100 km/s v 2 =200 km/s Orbital period=2 days M 1 =5.74e33 g M 2 =2.87e33 g

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