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Astronomy / The Cosmic Perspective Fundamentals 2 / Chapter 12 / Problem 14SEQ

The Cosmic Perspective Fundamentals | 2nd Edition | ISBN: 9780133889567 | Authors: Jeffrey O. Bennett; Megan O. Donahue; Nicholas Schneider; Mark Voit

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Problem 14SEQ

Explain answer clearly, with complete sentences and proper essay structure if needed.

Cepheids as Standard Candles. Suppose you are observing Cepheids in a nearby galaxy. You observe one Cepheid with a period of 8 days between peaks in brightness, and another with a period of 35 days. Estimate the luminosity of each star. Explain how you arrived at your estimate. (Hint: See Figure 12.4.)

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QUESTION:

Problem 14SEQ

Explain answer clearly, with complete sentences and proper essay structure if needed.

Cepheids as Standard Candles. Suppose you are observing Cepheids in a nearby galaxy. You observe one Cepheid with a period of 8 days between peaks in brightness, and another with a period of 35 days. Estimate the luminosity of each star. Explain how you arrived at your estimate. (Hint: See Figure 12.4.)

ANSWER:

Step 1 of 3

We have to estimate the luminosity of each Cepheids which can be done by using the relation for absolute magnitude and Period of a Cepheid variable star.

$M=\ -2.78+log\ P-1.35$

Where, $M=$ Absolute magnitude of the star.

$P=$ Period in days

The luminosity ( $L$ ) and Absolute magnitude ( $M$ ) relation for a star is given by,

$L={L}_{s}\ {10}^{\{(4.75-M)/2.5\}}$

Where, ${L}_{S}=$ Luminosity of Sun = 3.8 $\times{}$ 1026 W

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