# 7 since the ellipses would be hard to fit on the

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eccentricity to 0.7 since the ellipses would be hard to fit on the screen for largervalues. Note that the semi-major axis is aligned horizontally for all elliptical orbitscreated in this simulator, where they are randomly aligned in our solar system. ·Animate the simulated planet. You may need to increase the animationrate for very large orbits or decrease it for small ones.·The planetary presets set the simulated planet’s parameters to those likeour solar system’s planets. Explore these options.
Question 6:(1 point) For what eccentricity is the secondary focus (which isusually empty) located at the sun? What is the shape of this orbit?
Question 7:(1 point) Create an orbit with a = 20 AU and e = 0. Drag the planetfirst to the far left of the ellipse and then to the far right. What are the values of rand r2at these locations? 1
Question 8:(1 point) Create an orbit with a = 20 AU and e = 0.5. Drag theplanet first to the far left of the ellipse and then to the far right. What are thevalues of r1and r2at these locations? r1 (AU)r2 (AU)Far Left10.030.0Far Right30.010.0Question 9:(1 point) For the ellipse with a = 20 AU and e = 0.5, can you find apoint in the orbit where r1and r2are equal? Sketch the ellipse, the location of thispoint, and r1and r2in the space below. Question 10:(1 point) What is the value of the sum of r1and r2and how does itrelate to the ellipse properties? Is this true for all ellipses?
Question 11:(1 point) It is easy to create an ellipse using a loop of string and twothumbtacks. The string is first stretched over the thumbtacks which act as foci.The string is then pulled tight using the pencil which can then trace out theellipse.Assume that you wish to draw an ellipse with a semi-major axis of a = 20cm and e = 0.5. Using what you have learned earlier in this lab, what would bethe appropriate distances for a) the separation of the thumbtacks and b) thelength of the string? Please fully explain how you determine these values.
Kepler’s 2nd Law·Use the “clear optional features” button to remove the 1st Lawfeatures.
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