Assume that you wish to draw an ellipse with a semi

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Assume that you wish to draw an ellipse with a semi-major axis of a = 20 cm and e = 0.5. Using what you have learned earlier in this lab, what would be the appropriate distances for a) the separation of the thumbtacks and b) the length 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 Law features. Open the Kepler's 2nd Law tab. Press the “start sweeping” button. Adjust the semimajor axis and animation rate so that the planet moves at a reasonable speed. Adjust the size of the sweep using the “adjust size” slider. Click and drag the sweep segment around. Note how the shape of the sweep segment changes, but the area does not. Add more sweeps. Erase all sweeps with the “erase sweeps” button. The “sweep continuously” check box will cause sweeps to be created continuously when sweeping. Test this option. Question 12:Erase all sweeps and create an ellipse with a = 1 AU and e = 0. Set the fractional sweep size to one-twelfth of the period. Drag the sweep segment around. Does its size or shape change?
NAAP – Planetary Orbit Simulator 5/8 Question 13:Leave the semi-major axis at a = 1 AU and change the eccentricity to e = 0.5. Drag the sweep segment around and note that its size and shape change. Where is the sweep segment the “skinniest”? Where is it the “fattest”? Where is the planet when it is sweeping out each of these segments? (What names do astronomers use for these positions?) Question 14:What eccentricity in the simulator gives the greatest variation of sweep segment shape? Question 15:Halley’s comet has a semimajor axis of about 18.5 AU, a period of 76 years, and an eccentricity of about 0.97 (so Halley’s orbit cannot be shown in this simulator.) The orbit of Halley’s Comet, the Earth’s Orbit, and the Sun are shown in the diagram below (not exactly to scale). Based upon what you know about Kepler’s 2ndLaw, explain why we can only see the comet for about 6 months every orbit (76 years)?
NAAP – Planetary Orbit Simulator 6/8 Kepler’s 3rdLaw Use the “clear optional features” button to remove the 2nd Law features. Open the Kepler's 3rd Law tab.

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