Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Kepler's laws. Orbits are ellipses with the Sun at a focus. The line to the Sun sweeps equal areas in equal times, so at the nearest and farthest points . And : for bodies around the Sun, with in years and in AU.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) years.
Step 2. (b) , the distance of Neptune.
Answer: (a) years. (b) .
Check. A planet times farther than the Earth takes years. It agrees.
Watch out. Use the units in which the constant is : AU and years, for bodies around the Sun.
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