Ideally these should all cross at one place the

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reality, they will show you only approximately where the center should be. Put a dot where you estimate the orbit’s center is.Label the center of the Moon’s orbit “CMO” where you placed your dot. (Note that these steps count for points in the grading.)
Lab 6 / Plotting the Orbit of the Moon 2 Table 1.Moon’s Orbit DataImage 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 2 5.0 3 7.1 4 9.1 5 11.1 6 15.0 7 17.0 8 19.0 9 19.5 10 21.4 11 23.5 12 26.6 Dave= 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 axisof 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 aor the semi-major axis. Remember that the major axis must go through two points: the center of the Moon’s orbit andthe Earth, which is one of the two foci of the ellipse.] a= _______________ mm [Round to 1 decimal place.]10. Remember, from Lab 4 you learned that cis the distance between the center of the ellipse (i.e., the Moon’s orbit)and one of the foci (here, the Earth). Measure cto an accuracy of 0.5 mm. (See the attached sheet on the ellipse if you need a refresher.) c= _______________ 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 aand c. Express your answer using 4 decimal places.e= c/a= _______________ [Round to 4 decimal places.]12. The published eccentricity of the Moon’s orbit is 0.0549. What percentage of the published eccentricity is your computed value? _________________% [Round to 1 decimal place.]If your value of eis lessthan the published value (0.0549), then the percentage must be lessthan 100%. If your value of eis morethan the published value (0.0549), then the percentage must be morethan 100%. To determine the correct percentage, use the following algorithm: eyour/ 0.0549 = x/ 100 Scoring for Lab 6 Completing Table 1: 30 pts
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