Question

Kepler's Third Law of Orbital Motion states that you can approximate the period P (in Earth years) it takes a planet to complete one orbit of the sun using the function p= da, where d is the distance (in astronomical units, AU) from the planet to the sun. How many Earth years would it take for a planet that is 6.76 AU from the sun?

Answer 1

To find the period P (in Earth years) using Kepler's Third Law of Orbital Motion, we have the formula p = da, where d is the distance (in astronomical units, AU) from the planet to the sun.

In this case, the planet is 6.76 AU from the sun, so we substitute this value into the formula: p = 6.76 * a.

To find the value of a, we need to know the distance of the planet's orbit from the sun. Without this information, we cannot determine the exact number of Earth years it would take for the planet to complete one orbit.