8-18. Use Kepler's results (i.e., his first and second laws) to show that the gravitational force must be central and that the radial dependence must be 1/r. Thus, perform an inductive derivation of the gravitational force law.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
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8-18. Use Kepler's results (i.e., his first and second laws) to show that the gravitational
force must be central and that the radial dependence must be 1/r. Thus, perform
an inductive derivation of the gravitational force law.
Transcribed Image Text:8-18. Use Kepler's results (i.e., his first and second laws) to show that the gravitational force must be central and that the radial dependence must be 1/r. Thus, perform an inductive derivation of the gravitational force law.
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