Question: Please i need PYTHON CODE for this problem 5:14 Chapter 3.1 Problem 7P Done In 1601 the German astronomer Johannes Kepler became director of the
5:14 Chapter 3.1 Problem 7P Done In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory. Kepler had been helping Tycho Brahe in collecting 13 years of observations on the relative motion of the planet Mars. By 1609 Kepler had formulated his first two laws: i. Each planet moves on an ellipse with the sun at one focus. ii. For each planet, the line from the sun to the planet sweeps out equal areas in equal times. Kepler spent many years verifying these laws and formulating a third law, which relates the planets' orbital periods and mean distances from the sun. a. Plot the period time T versus the mean distance r using the following updated observational data. Planet Period (days) 88 225 Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto 365 687 4,329 10,753 30,660 60,150 90,670 Mean distance from the sun (millions of kilometers) 57.9 108.2 149.6 227.9 778.1 1428.2 28379 4488.9 5876.7 b. Assuming a relationship of the form T=Cr determine the parameters and a by plotting In T versus Inr. Does the model seem reasonable? Try to formulate Kepler's third law
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