SOLUTION: 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 radius of the orbit of the planet m

Question 149808: 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 radius of the orbit of the planet measured in astronomical units and T is the number of years it takes for one complete orbit of the sun.
If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? Use the information above to solve this problem.

Found 2 solutions by vleith, nerdybill:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You need to set up a ratio. For Earth we know that T = 1 and R = 1. So the ratio is 1^2/1^3 = 1 for Earth.
Now we need to use the information provided to find out about Venus

So Venus takes a trip around the sun every 0.615 years = ~224 days. She's zippin' right along
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The key is to know that T^2/R^3 has the value 1 for all planets in the Solar System.
.
Knowing this we can now have the following relationship:
1 = T^2/0.723^3
.
Solving for T:
1 = T^2/0.723^3
0.723^3 = T^2
sqrt(0.723^3) = T
0.615 years = T

RELATED QUESTIONS
Can you please help with this problem? Thanks According to Kepler�s third law of... (answered by gonzo)
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)
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)
When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the... (answered by Earlsdon,MathLover1)
When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the... (answered by MathLover1)
When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the... (answered by MathLover1)
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)
Kepler�s third law of planetary motion may be given as T=kr^3/2 where T is the time... (answered by richwmiller)