Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is || = 190 km/s and the orbital period of each is 12.9 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.)

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Chapter1: Units, Trigonometry. And Vectors
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Plaskett's binary system consists of two stars that revolve in a circular orbit
about a center of mass midway between them. This statement implies that
the masses of the two stars are equal (see figure below). Assume the orbital
speed of each star is |v|
190 km/s and the orbital period of each is 12.9
days. Find the mass M of each star. (For comparison, the mass of our Sun is
1.99 x 1030 kg.)
18.33
You may have used the diameter of the circle in calculating the centripetal
acceleration rather than the radius. solar masses
M
XCM
M
Transcribed Image Text:Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v| 190 km/s and the orbital period of each is 12.9 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) 18.33 You may have used the diameter of the circle in calculating the centripetal acceleration rather than the radius. solar masses M XCM M
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