According to Kepler\'s third law of planetary motion, the ratio t^2/R^3 has the
ID: 3099012 • Letter: A
Question
According to Kepler's third law of planetary motion, the ratio t^2/R^3 has the same value for every planet in our solar system. R is the average radium of the orbit of the planet measured in astronomical unit (AU), and T is the number of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years with an everage radius of 5.2 AU.Orbit of Venus. If the average radius of the orbit of Venus is 0.723 SU, then how many years does it take for Venus to complete one orbit of the sun? Use the information in exercise 115.
Explanation / Answer
if the ratio is the same for every planet of the solar system then you have this: t^2/R^3 of jupiter = t^2/R^3 of venus using the information given about the planets we get the following 11.86^2 / 5.2^3 = t^2 / .723^3 multiply both sides by .723^3 t^2 = (.723^3 * 11.86^2) / 5.2^3 take the square root of both sides and perform the calculations t = sqrt((.723^3 * 11.86^2) / 5.2^3 ) and this is the time t that takes for venus to complete an orbit arounnd the sun.