period of a planet around the sun is 27 times that of Earth. The ratio of radius of planet's Orbit to the radius of Earth's orbit is?
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The eccentricity of an elliptical orbit can also be used to obtain the ratio of the periapsis to the apoapsis:
ra / rp = 1-e / 1+e
ra - radius at apoapsis (i.e., the farthest distance of the orbit to the center of mass of the system)
rp - radius at periapsis (the closest distance)
e - eccentricity vector.
A number of near-integer-ratio relationships between the orbital frequencies of Jupiter and Earth are 1:12. Mismatch after one cycle of planets is 49.1°. Randomization time is 40 years. Probability is 0.28.
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