use the data in the table below and the approach based on logarithms, explained in the lecture, to confirm Kepler's Third Las. Attach a graph supporting your work.

Note: Substitute the mean distances provided in the table for the major semi-axies of the corresponding ellipses. The eccentricities are listed for your information only. Use Matlab to draw the graph, and prove Matlab code!!!!!!!!

1. This problem is worth 0.5 point. Use the data in the table below and the approach based on logarithms, explained in the Lecture, to confirm Kepler's Third Law. Attach a graph supporting your work. Note: Substitute the mean distances provided in the table for the major semi-axes of the corresponding ellipses. The eccentricities are listed for your information only; they are not needed for your solution. Mean distance from Sun (km 106) 57.9 108.2 149.6 227.9 778.3 1427 2870 4497 5907 Eccentricity of orbit 0.206 0.007 0.017 0.093 0.048 0.056 0.046 0.010 0.249 Planet | Period (Earth days)M Mercury Venus Earth 225 365 687 4329 10,753 30,660 60,150 90,670 ars Jupiter Saturn Uranus Neptune Pluto 1. This problem is worth 0.5 point. Use the data in the table below and the approach based on logarithms, explained in the Lecture, to confirm Kepler's Third Law. Attach a graph supporting your work. Note: Substitute the mean distances provided in the table for the major semi-axes of the corresponding ellipses. The eccentricities are listed for your information only; they are not needed for your solution. Mean distance from Sun (km 106) 57.9 108.2 149.6 227.9 778.3 1427 2870 4497 5907 Eccentricity of orbit 0.206 0.007 0.017 0.093 0.048 0.056 0.046 0.010 0.249 Planet | Period (Earth days)M Mercury Venus Earth 225 365 687 4329 10,753 30,660 60,150 90,670 ars Jupiter Saturn Uranus Neptune Pluto