4. Suppose we observe a binary star system in which one star is much more massive than the other and both are on the main sequence. We measure that the smaller star orbits the larger at a distance of 10¹3 m with a speed of 104 m/s. a. What is the mass of the larger star? b. Which star has a higher luminosity? c. Which has a larger radius? d. Which is hotter?

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4. Suppose we observe a binary star system in which one star is much more massive than the other
and both are on the main sequence. We measure that the smaller star orbits the larger at a
distance of 10¹3 m with a speed of 10 m/s.
a. What is the mass of the larger star?
b. Which star has a higher luminosity?
c. Which has a larger radius?
d. Which is hotter?
Transcribed Image Text:4. Suppose we observe a binary star system in which one star is much more massive than the other and both are on the main sequence. We measure that the smaller star orbits the larger at a distance of 10¹3 m with a speed of 10 m/s. a. What is the mass of the larger star? b. Which star has a higher luminosity? c. Which has a larger radius? d. Which is hotter?
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