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Binary Stars Centauri A and Centauri B are binary stars

Chapter 12, Problem 38P

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QUESTION:

Problem 38P

Binary Stars Centauri A and Centauri B are binary stars with a separation of 3.45  ×  1012 m and an orbital period of 2.52  ×  109 s. Assuming the two stars are equally massive (which is approximately the case), determine their mass.

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QUESTION:

Problem 38P

Binary Stars Centauri A and Centauri B are binary stars with a separation of 3.45  ×  1012 m and an orbital period of 2.52  ×  109 s. Assuming the two stars are equally massive (which is approximately the case), determine their mass.

ANSWER:

Step 1 of 2

From Kepler's third law we have the orbital period,

Implies,

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