design a program The purpose of programming assignment I is: a) Practicing computational/algorithmic thinking to solve an Astronomy problem b) Using variables and simple arithmetic expressions to develop a Python solution Saturn's Orar Jupiter orbe Males Comer's or Period 76 yn 1910 and es 1948 Uranus orbe Neptune sorte Figure: The planets and Halley's comet revolves around the sun 1. Problem Description: Kepler's laws of planetary motion published in 1609, are three scientific laws describing the motion of planets around the Sun. Actually the usefulness of Kepler's laws extends to the motions of all natural and artificial satellites, as well as to stellar systems and exo- planets. The third law summarizes the relation between the period of an orbiting body and its average distance to the body it orbits. The ratio of the square of an object's orbital period T with the cube of the average distance R is the same for all orbiting objects. Case 1: Kepler's Third Law relates the period T of a planet, which is the time spent for one revolution around the Sun, to the average distance R to the sun. The units for both quantities are taken from the earth's orbit: period is measured in years, which is the time taken for the earth to complete one of its orbits, and distance is taken in astronomical units (au), which is the average distance from the earth to the sun. So for the earth T-1 and R-I by definition T2 R3 For the planet Mars, T-1.88, and R 1.52 (See table 1) T? 1.882 R3 - 1.01 1.52 Here is a table of periods and average distances for some planets, and other famous celestial bodies in the solar system such as Halley's comet: Planet 1 2 3 4 5 6 7 8 9 10 Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto Halley's conet Period (yr) 8.241 0.615 1.00 1.88 11.8 29.5 84.0 Average Distance (au) @.39 @.72 1 1.ee 1.52 5.20 9.54 19.18 30.06 39.44 17.55 165 248 75.3 Tablel: Period of planets and comet and their average distance to the Sun