A planet orbits a massive star in a highly elliptical orbit, i.e., the total orbital energy E is close to zero. The initial distance of closest approach is R,· Energy is dissipated through tidal motions until the orbit is circularized with a final radius of R. Assume that orbital angular momentum is conserved during the circularization process. then R. (a) R; (b) R, = R (c) R, = /2R, (d) R, = 2R, f

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 8.17P
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A planet orbits a massive star in a highly elliptical orbit, i.e., the total orbital energy E is
close to zero. The initial distance of closest approach is R, . Energy is dissipated through
tidal motions until the orbit is circularized with a final radius of R,. Assume that orbital
angular momentum is conserved during the circularization process. then
(a) R;
(b) R, = R
(c) R, = /2R,
(d) R, = 2R,
Transcribed Image Text:A planet orbits a massive star in a highly elliptical orbit, i.e., the total orbital energy E is close to zero. The initial distance of closest approach is R, . Energy is dissipated through tidal motions until the orbit is circularized with a final radius of R,. Assume that orbital angular momentum is conserved during the circularization process. then (a) R; (b) R, = R (c) R, = /2R, (d) R, = 2R,
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