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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.

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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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