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The entire question is in the title . It's the case for the solar system but is it always the case ? Can a planet do a revolution faster than another that is closer to the center ? As far as I searched , it's not but I prefer ask here to be sure. Of course I'm talking about similar orbits (all with the same eccentricity). (When I'm talking of the center, I mean the body in the center (in general a sun), even if it's not always the center) |
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You're talking about a year period, right? There is Kepler's Third Law: $$ {S_1^3 \over S_2^3} = {P_1^2 \over P_2^2} .$$ where
Thus the further the planet is from the center (Sun), the longer its orbital period is. You can check that formula by taking examples of Earth ( |
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Kepler's Third Law says that the square of a planet's orbital period is proportional to the cube of its semi-major axis; $$ T^2 \propto a^3 $$ So if one planet has a larger semi-major axis than another, then its orbital period will necessarily be longer. Assuming that we define "closeness to the center" of a planet by the size of the semi-major axis of its orbit, the answer to your question is no. |
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