Kepler’s third law of planetary motion relates the average distance, aa, of a planet from the sun to the time, it takes the planet to complete one full orbit around the sun according to
the equation 2 = a^3. when the time, is measured in earth years, the distance, aa, is measured in astronomical units (aus). (one au is equal to the average distance from eart
h to the sun.
a. find an equation for in terms of aa and an equation for aa in terms of
b. venus takes about 0.616 earth year to orbit the sun. what is its average distance from the sun?
c. mercury is an average distance of 0.387 au from the sun. about how long is its orbit in earth years?