Posted by **Rick** on Saturday, October 9, 2010 at 6:52pm.

Kepler’s third law. 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 (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 average radius of 5.2 AU, whereas Saturn orbits the

sun in 29.46 years

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?

- college algebra -
**Henry**, Sunday, October 10, 2010 at 5:55pm
t^2 / r^3 = (11.86)^2 / (5.2)^3 = 140.66 / 140.61 = 1.00 For all planets in the solar system.

t^2 / (0.723)^3 = 1.00,

Solve for t:

t^2 = (0.723)^3,

t^2 = 0.3779,

Take sqrt of both sides:

t = 0.615 years.

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