Sirius is a visual binary with a period of 49.94 yr. Its measured trigonometric parallax is 0.37921" (used to calculate the distance to the system) and, assuming that the plane of the orbit is the plane of the sky, the true angular extent of the semi-major axis of the reduced mass is 7.61" (needs to be converted to radians). The ratio of the distances of Sirius A and Sirius B from the center of mass is aa/aB=0.466. Find the masses of Sirius A and B.

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Sirius is a visual binary with a period of 49.94 yr. Its measured trigonometric parallax is
0.37921" (used to calculate the distance to the system) and, assuming that the plane of the
orbit is the plane of the sky, the true angular extent of the semi-major axis of the reduced mass
is 7.61" (needs to be converted to radians). The ratio of the distances of Sirius A and Sirius B
from the center of mass is aa/aB=0.466. Find the masses of Sirius A and B.
Transcribed Image Text:Sirius is a visual binary with a period of 49.94 yr. Its measured trigonometric parallax is 0.37921" (used to calculate the distance to the system) and, assuming that the plane of the orbit is the plane of the sky, the true angular extent of the semi-major axis of the reduced mass is 7.61" (needs to be converted to radians). The ratio of the distances of Sirius A and Sirius B from the center of mass is aa/aB=0.466. Find the masses of Sirius A and B.
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