Explain in general terms how one uses the information given to compute: An impli

Question

Explain in general terms how one uses the information given to compute:

An implicit equation for the orbit of a planet with the given assumptions and information. You should also provide methods to check your work. Give several plots of your implicit models highlighting both the inner planets, the outer planets, and the entire solar system. A parametric equation for the orbit of the planet where the parameter is time, and the orbital period is correct, but the orbit does not necessarily abide by Kepler's Second Law of planetary motion. You should also provide methods to check your work. Give several plots of your explicit models highlighting both the inner planets, the outer planets, and the entire solar system. A table of 12 values for each of the orbits of the planets where the orbits abide by Kepler's Second Law of planetary motion. You should also provide methods to check your work.

Explanation / Answer

As, gravitational force , F = GMm/r2

Also, centripetal force = gravitational force

=>   mv2/r = GMm/r2

=>   velocity , v = sqrt(GM/r)

Thus, time period , T = (2pi * r)/(v)

                                 = (2pi * r)/sqrt(GM/r)

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