Friday

February 27, 2015

February 27, 2015

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

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 5:55pmt^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.

**Answer this Question**

**Related Questions**

physics - According to Kepler's third law, the orbital period T of a planet is ...

Logarithms - Kepler's third law of planetary motion relates P, the period of a ...

Astrophysics - I'm having trouble understanding the formulas for determining a ...

Physics - A 21.0-kg satellite has a circular orbit with a period of 2.37 h and a...

Physics - How do you calculate. How many years would it take the planet to orbit...

Physics - A planet has two satellite moons. Moon X has an orbital period of 2.13...

physics - According to Newton's version of Kepler's third law, how would the ...

Earth Science - According to Kepler's law of harmonies, which planet takes the ...

Physics - Newton's Law of universal gravitation - Describe how Newton used each ...

Math - The period of revolution of a planet around the sun is the time it takes ...