Show that equations 1, 2 and 3 lead to Kepler's Third Law of planetary motion. How are the orbital radius and period related? How do you obtain a linear plot from this relationship? Which quantities would be in the x-axis? y-axis?

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter7: Gravitation
Section7.1: Planetary Motion And Gravitation
Problem 1PP
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Equation 1: F = G ™pmM
r2
m
Equation 2: F =
"Mv²
2nr
Equation 3: T =
Show that equations 1, 2 and 3 lead to Kepler's
Third Law of planetary motion. How are the
orbital radius and period related? How do you obtain
a linear plot from this relationship?
Which quantities would be in the x-axis? y-axis?
Transcribed Image Text:Equation 1: F = G ™pmM r2 m Equation 2: F = "Mv² 2nr Equation 3: T = Show that equations 1, 2 and 3 lead to Kepler's Third Law of planetary motion. How are the orbital radius and period related? How do you obtain a linear plot from this relationship? Which quantities would be in the x-axis? y-axis?
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