Distance from the Earth to the Sun It follows from Kepler's Third Law of planetary motion that the average distance from a planet to the sun (in meters) is GM3 d = 1/3 where M = 1.99 × 10" kg is the mass of the sun, G = 6.67 x 10-" N•m²/kg* is the gravitational con- stant, and T is the period of the planet's orbit (in seconds). Use the fact that the period of the earth's orbit is about 365.25 days to find the distance from the earth to the sun.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterA: Calculations And Significant Figures
Section: Chapter Questions
Problem 13E
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Distance from the Earth to the Sun It follows from
Kepler's Third Law of planetary motion that the average
distance from a planet to the sun (in meters) is
GM3
d =
1/3
where M = 1.99 × 10" kg is the mass of the sun,
G = 6.67 x 10-" N•m²/kg* is the gravitational con-
stant, and T is the period of the planet's orbit (in
seconds). Use the fact that the period of the earth's
orbit is about 365.25 days to find the distance from the
earth to the sun.
Transcribed Image Text:Distance from the Earth to the Sun It follows from Kepler's Third Law of planetary motion that the average distance from a planet to the sun (in meters) is GM3 d = 1/3 where M = 1.99 × 10" kg is the mass of the sun, G = 6.67 x 10-" N•m²/kg* is the gravitational con- stant, and T is the period of the planet's orbit (in seconds). Use the fact that the period of the earth's orbit is about 365.25 days to find the distance from the earth to the sun.
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