Question
Suppose a Cepheid has a period of 5 days. Estimate its luminosity from Figure $63.5,$ then determine its distance if its measured brightness is $4 \times 10^{-12}$ watts/m $^{2}$.
Step 1
5 From the given information, the Cepheid has a period of 5 days. Referring to Figure 63.5 (which is not provided here, but you can refer to it in your textbook or source), we can estimate the luminosity of the Cepheid. Let's assume the luminosity is L. Show more…
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Suppose you observe a classical Cepheid variable with a period of 10 days. What is the luminosity of this star? What other piece of information would you need to find out how far away this star is?
A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth. –5.95 –4.60 3.25 4.60
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