A planet has been discovered orbiting the sun-like star HD 209458. From the period and velocity measured by the Doppler method, its mass was calculated to be 0.69 times that of Jupiter. The plane of the planet's orbit is edge-on and it has been observed to transit across the face of the star. The light from the star was seen to drop by 1.7% when the planet's disc lay fully within that of the star which has a radius of 8 × 10³ km. Assuming that the brightness of the star is constant across the observed face, estimate the diameter of the planet and hence it density in comparison with that of Jupiter which has a radius of 7.1 x 10¹ km.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
Problem 66PQ
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A planet has been discovered orbiting the sun-like star HD 209458. From
the period and velocity measured by the Doppler method, its mass was
calculated to be 0.69 times that of Jupiter. The plane of the planet's orbit is
edge-on and it has been observed to transit across the face of the star. The
light from the star was seen to drop by 1.7% when the planet's disc lay fully
within that of the star which has a radius of 8 × 10°km. Assuming that
the brightness of the star is constant across the observed face, estimate
the diameter of the planet and hence it density in comparison with that of
Jupiter which has a radius of 7.1 × 10ʻkm.
3.
Transcribed Image Text:A planet has been discovered orbiting the sun-like star HD 209458. From the period and velocity measured by the Doppler method, its mass was calculated to be 0.69 times that of Jupiter. The plane of the planet's orbit is edge-on and it has been observed to transit across the face of the star. The light from the star was seen to drop by 1.7% when the planet's disc lay fully within that of the star which has a radius of 8 × 10°km. Assuming that the brightness of the star is constant across the observed face, estimate the diameter of the planet and hence it density in comparison with that of Jupiter which has a radius of 7.1 × 10ʻkm. 3.
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