SOLUTION: The average radius R of the orbit of a planet around the sun is determined by R = T2/3, where T is the number of years for one orbit and R is measured in astronomical units (AU). I

Question 328759: The average radius R of the orbit of a planet around the sun is determined by R = T2/3, where T is the number of years for one orbit and R is measured in astronomical units (AU). If it takes Pluto 248.53 years to make one orbit of the sun, then what is the average radius of the orbit of Pluto? If the average radius of the orbit of Neptune is 30.08 AU, then how many years does it take Neptune to complete one orbit of the sun?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
If I understand the formula correctly, R = (2/3) * T

T is the number of years for one orbit.
R is the average radius of the orbit measured in Astronomical Units (AU).

Pluto takes 248.53 years to make one orbit of the sun.

What is the average radius of the orbit of Pluto.

Since R = (2/3) * T, then R = (2/3) * 248.53 = 165.6866667 AU.

If the average radius of the orbit of Neptune is 30.08 AU, then how many years does it take Neptune to complete 1 orbit of the sun?

Since R = (2/3) * T, and R = 30.08 AU, then the formula becomes:

30.08 = (2/3) * T

Solve for T to get T = 45.12 years

RELATED QUESTIONS
The average radius (R) of the orbit of a planet around the sun is determined by R =... (answered by ankor@dixie-net.com)

Hi I need help with 3 word problems. I don't even know where to begin. This is from my... (answered by solver91311)

hey guys this is a two part problem not doing so great on I could use your help please. (answered by ankor@dixie-net.com)

If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take (answered by stanbon)

According to Kepler's third law of motion, the ratio T^2/R3 has the same value of every... (answered by ankor@dixie-net.com)

According to Kepler�s third law of planetary motion, the ratio T^2/R^3 has the same value (answered by vleith,nerdybill)

Can you please help with this problem? Thanks According to Kepler�s third law of... (answered by gonzo)

Pls, help me solve it, thank you The average distance between planet Jupiter and to Sun... (answered by cleomenius)

If the average radius of the orbit of Venus is 0.723 AU, then how many years does it tale (answered by ankor@dixie-net.com)