For each problem, explain your reasoning and neatly show yourwork including equations used — numerical answers only will notget full credit. Also, be sure to include diagrams/sketches whenrequested.
Kepler’s Third Law: a. Sketch a simple graph of planet distancefrom the Sun (x axis in units in AU) with period (y axis in unitsof years) for Mercury, Earth, and Jupiter. Demonstrate graphicallywhether this obeys Kepler’s third law — explain your reasoning.This should include data points and a continuous line showing theresult from Kepler’s law. You can hand-sketch neatly or use agraphing program (eg, excel, python). (4 points).
b. Imagine a new planet “Planet Wolverine” is announced that hasan orbital period of 6 years. Mark the location of Planet Wolverineon your graph from part a and use Kepler’s Third law to estimatethe semi-major axis of the orbit in AU (2 points)