Conceptual Idea: “According to Newton, Kepler's 3rd Law (P2 = D3) should be modified to read M+m = D3/P2 where M+m is mass in units of Sun+Earth mass, D is the orbital semi-major axis in astronomical units (AU), and P the time for one orbital revolution in Earth years." If one were trying to measure the mass of the Sun, MS, by observing a planet of mass mP orbiting the Sun, why could this equation be used to get a good estimate of MS? If one were trying to measure the mass of Jupiter, MJ, by observing the moon Ganymede of mass mG orbiting Jupiter, why could this equation be used to get a good estimate of MJ?
Conceptual Idea: “According to Newton, Kepler's 3rd Law (P2 = D3) should be modified to read M+m = D3/P2 where M+m is mass in units of Sun+Earth mass, D is the orbital semi-major axis in astronomical units (AU), and P the time for one orbital revolution in Earth years." If one were trying to measure the mass of the Sun, MS, by observing a planet of mass mP orbiting the Sun, why could this equation be used to get a good estimate of MS? If one were trying to measure the mass of Jupiter, MJ, by observing the moon Ganymede of mass mG orbiting Jupiter, why could this equation be used to get a good estimate of MJ?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Conceptual Idea: “According to Newton,
Kepler's 3rd Law (P2 = D3) should be
modified to read M+m = D3/P2 where M+m
is mass in units of Sun+Earth mass, D is the
orbital semi-major axis in astronomical units
(AU), and P the time for one orbital
revolution in Earth years." If one were trying
to measure the mass of the Sun, MS, by
observing a planet of mass mP orbiting the
Sun, why could this equation be used to get
a good estimate of MS? If one were trying to
measure the mass of Jupiter, MJ, by
observing the moon Ganymede of mass mG
orbiting Jupiter, why could this equation be
used to get a good estimate of MJ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbb1c348-5c5d-41a5-9124-202d4173b063%2F251acb64-006d-4be2-84fe-a8c5606df98b%2Fq3v4ytf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Conceptual Idea: “According to Newton,
Kepler's 3rd Law (P2 = D3) should be
modified to read M+m = D3/P2 where M+m
is mass in units of Sun+Earth mass, D is the
orbital semi-major axis in astronomical units
(AU), and P the time for one orbital
revolution in Earth years." If one were trying
to measure the mass of the Sun, MS, by
observing a planet of mass mP orbiting the
Sun, why could this equation be used to get
a good estimate of MS? If one were trying to
measure the mass of Jupiter, MJ, by
observing the moon Ganymede of mass mG
orbiting Jupiter, why could this equation be
used to get a good estimate of MJ?
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