Using planetary motion, prove that the planet always being bound to the attracting solar center and never escapes from it. (explain with equation)

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
Problem 8.40P
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Using planetary motion, prove that the planet always being bound to the attracting solar center and never escapes from it. (explain with equation)

 

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