ES1 Elliptical Orbits Earth in Space Lab # 2

Look back at Figure 4 to identify the foci and major axis. Measure the distance between the thumbtacks foreach ellipse in millimeters (a in table below). Put the data in the table.!! Draw a line across the foci to the edges of the ellipse to see the major axis. Measure it in mm also.! Repeat for all 3 ellipses and calculate the eccentricity, converting it to a decimal with 2 digit accuracy.Why do you round it? (Consult Density and Measurement notes if needed.)__________________________Compare the roundness of the 3 ellipses--they may look circular, but they’re not! (Compare major axis to“minor axis”--perpendicular to focii, if you want to prove it to yourself. Which should be shorter?_________)Ellipsetable-10 pts.(a) Distance betweenfoci (mm). give unitfor all. Known--seeyour drawings(b) Length ofmajor axis(mm)Eccentricity: a/bConvert to decimal (2 digit accuracy -- why?Show work.Look at ellipses.Which isroundest? leastround?123The eccentricity should be between 0 and 1, with no unit. Why does a ratio like this have no unit?______________________________________________________________________________________(Hint: Think about what you are comparing: what unit is on the top and bottom of this fraction?________)Analysis1. How does the shape (not the size) of the ellipse change when the loop is the same size, and the foci arespread apart?2. Look at the eccentricities of your ellipse. As the ellipse becomes rounder, does the eccentricity get higheror lower?______________What would the eccentricity be of a circle_________ (hint--what is the distance between foci?________)What would the eccentricity be of a line_________ (hint--how does the distance between foci compare tothe length of the major axis?____________________________________________________________emptysunLook at your Newton’s Kepler’s notes and explain why0