Let's say that the Earth is right in the middle of the liquid water Habitable Zone around our sun. Imagine that you find a planet in the middle of the Habitable Zone of a small, nearby star. The star has a mass of 1/2 that of the sun, a radius 1/2 that of the sun, and a temperature of 3000 K (you can assume that the sun is 6000 K). What would be the orbital period of this Earth-twin? (Hint - this problem has several steps, and requires Kepler's 3rd law for the last step).

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...
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Let's say that the Earth is right in the middle of the liquid water Habitable Zone around our sun. Imagine that you find a planet in the middle of the
Habitable Zone of a small, nearby star. The star has a mass of 1/2 that of the sun, a radius 1/2 that of the sun, and a temperature of 3000 K (you can
assume that the sun is 6000 K). What would be the orbital period of this Earth-twin? (Hint - this problem has several steps, and requires Kepler's 3rd
law for the last step).
Transcribed Image Text:Let's say that the Earth is right in the middle of the liquid water Habitable Zone around our sun. Imagine that you find a planet in the middle of the Habitable Zone of a small, nearby star. The star has a mass of 1/2 that of the sun, a radius 1/2 that of the sun, and a temperature of 3000 K (you can assume that the sun is 6000 K). What would be the orbital period of this Earth-twin? (Hint - this problem has several steps, and requires Kepler's 3rd law for the last step).
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