# Aligned horizontally for all elliptical orbits

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aligned horizontally for all elliptical orbits created in this simulator, where they are randomly aligned in our solar system. Animate the simulated planet. You may need to increase the animation rate for very large orbits or decrease it for small ones. The planetary presets set the simulated planet’s parameters to those like our solar system’s planets. Explore these options. NAAP – Planetary Orbit Simulator 2/8 Tip: You can change the value of a slider by clicking on the slider bar or by entering a number in the value box.
Question 6: (1 point) For what eccentricity is the secondary focus (which is usually empty) located at the sun? What is the shape of this orbit? E=0, this is what makes a circular orbit. Question 7: (1 point) Create an orbit with a = 20 AU and e = 0. Drag the planet first to the far left of the ellipse and then to the far right. What are the values of r 1 and r 2 at these locations?
Question 8: (1 point) Create an orbit with a = 20 AU and e = 0.5. Drag the planet first to the far left of the ellipse and then to the far right. What are the values of r 1 and r 2 at these locations? r 1 (AU) r 2 (AU) Far Left 10 30 Far Right 30 10 (1 point) For the ellipse with a = 20 AU and e = 0.5, can you find a point in the orbit where r 1 and r 2 are equal? Sketch the ellipse, the location of this point, and r 1 and r 2 in the space below. Use document drawing capability or draw by hand to scan and submit. NAAP – Planetary Orbit Simulator 3/8
Question 9: (1 point) What is the value of the sum of r 1 and r 2 and how does it relate to the ellipse properties? Is this true for all ellipses? r1+r2=2AU+20AU=40AU-2a. This value is true for all ellipses. Question 10: (1 point) It is easy to create an ellipse using a loop of string and two thumbtacks. 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 the ellipse. 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. e=c/a and c=ae represent the distance between a focus point and the center of the ellipse. 2c to get the value of the separation of the thumbtacks that is 2c=2ae=2(20cm) (0.5)=20cm. The length of the string is r 1 +r 2 +2c that is 20cm+20cm+20cm=60cm.
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