A visual binary is composed of two stars A and B. This visual binary has a rotation period of 59.94 years and a distance of 3.64 pc from Earth. Assuming that the plane of the orbit is in the plane of the sky, the true angular extent of the semi-major axis is 7.61". The ratio of the distances of A and B from the centre of mass is aд/aB = 0.6. Find the masses of each member of the system. NOTE: to keep the calculation easier you should express the mass of the system in units of solar masses.

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A visual binary is composed of two stars A and B. This visual binary has a rotation period
of 59.94 years and a distance of 3.64 pc from Earth. Assuming that the plane of the orbit
is in the plane of the sky, the true angular extent of the semi-major axis is 7.61". The ratio
of the distances of A and B from the centre of mass is aд/aB = 0.6. Find the masses of
each member of the system.
NOTE: to keep the calculation easier you should express the mass of the system in units
of solar masses.
Transcribed Image Text:A visual binary is composed of two stars A and B. This visual binary has a rotation period of 59.94 years and a distance of 3.64 pc from Earth. Assuming that the plane of the orbit is in the plane of the sky, the true angular extent of the semi-major axis is 7.61". The ratio of the distances of A and B from the centre of mass is aд/aB = 0.6. Find the masses of each member of the system. NOTE: to keep the calculation easier you should express the mass of the system in units of solar masses.
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