Lab 6 plotting the orbit of the moon 2 table 1 moons

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Lab 6 / Plotting the Orbit of the Moon 2 Table 1. Moon’s Orbit Data Image Age (days) Difference in Days from Previous Image Degrees Moved from Previous Image Position Plot at Longitude (°) Moon Diameter d (mm) Scale Distance D (mm) 1 4.0 ----------- -------------- 270 42.1mm 23.2 2 5.0 1 13.2 283.2 46.5mm 26.5 3 7.1 2.1 13.2 296.4 50.3mm 16.2 4 9.1 2 13.2 309.6 54.7mm 15.7 5 11.1 2 13.2 322.8 56.8mm 22.9 6 15.0 3.9 13.2 336.0 59.4mm 18.1 7 17.0 2 13.2 349.2 55.6mm 26.7 8 19.0 2 13.2 2.4 52.1mm 14.8 9 19.5 .5 13.2 15.6 49.7mm 17.3 10 21.4 .9 13.2 28.8 47.2mm 14.6 11 23.5 2.1 13.2 42.0 43.9mm 19.3 12 26.6 3.1 13.2 55.2 42.3mm 20.1 Round all values in this table to 1 decimal place.
9. Though the Moon’s orbit looks nearly circular, it is an ellipse with the Earth at one of the foci. Draw and label the major axis of the orbit. The line for the major axis is determined by two points: the Earth (a focus) and the center of the Moon’s orbit (determined through the compass arcs). Label the perigee (closest point of approach) and apogee (farthest point
of approach) through visual inspection. Measure the length of the semi-major axis, a (to an accuracy of 0.5 mm). [Hint: Draw the major axis, measure it in mm, and divide that measurement by 2 to get the length of a or the semi-major axis. Remember that the major axis must go through two points: the center of the Moon’s orbit and the Earth, which is one of the two foci of the ellipse.] a = 20.8mm [Round to 1 decimal place.] 10. Remember, from Lab 4 you learned that c is the distance between the center of the ellipse (i.e., the Moon’s orbit) and one of the foci (here, the Earth). Measure c to an accuracy of 0.5 mm. (See the attached sheet on the ellipse if you need a refresher.) c = 26.3 mm [Round to 1 decimal place.] 11. The eccentricity of an ellipse is given by the equation e = c/a. Calculate the eccentricity of the Moon’s orbit from your measurements of a and c. Express your answer using 4 decimal places. Note: Answers for questions 9–12 must be derived e = c/a = 1.2644[Round to 4 decimal places.] from measurements made from the graph. Answers that are guesses or copied will NOT be accepted. 12. The published eccentricity of the Moon’s orbit is 0.0549. What percentage of the published eccentricity is your computed value? 12.64 % [Round to 1 decimal place.] Scoring for Lab 6 If your value of e is less than the published value (0.0549), then the percentage must be less than Completing Table 1: 30 pts 100%. If your value of e is more than the Plotting orbital points: 20 pts published value (0.0549), then the percentage Drawing smooth orbital curve thru plotted points: 05 pts must be more than 100%. To
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