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Observing Retrograde Motion One of the most difficult parts of constructing an a

ID: 108929 • Letter: O

Question

Observing Retrograde Motion

One of the most difficult parts of constructing an accurate model for planetary motions is that planets seem to wander among the stars. During their normal (or prograde) motion, planets appear to move from west to east over many consecutive nights as seen against the background stars. However, they occasionally (and predictably) appear to reverse direction and move east to west over consecutive nights is seen against the background stars. This backward motion is called retrograde motion.

1)         Given the data in Table 1, plot the motion of the mystery planet on the graph provided in Figure 1 (record dates next to each position you plot). Then, draw a smooth line (or curve). Using your data points, illustrate the path of the planet through the sky.

Table 1 Mystery Planet Positions

Date of Observation

Azimuth (degrees)

(horizontal direction)

Altitude (degrees)

(vertical direction)

May 1

240

45

May 15

210

50

June 1

170

50

June 15

150

45

July 1

170

40

July 15

180

45

August 1

140

50

August 15

120

55

2) On what date was the mystery planet located farthest to the west? What was the azimuth value of the planet on this date?

3) On what date was the mystery planet located farthest to the east? What was the azimuth value of the planet on this date?

4) Describe how the mystery planet moved (east or west), as compared to the background stars, during the time between the dates identified in Questions 2 and 3

5) During which dates does the mystery planet appear to move with normal, prograde, motion, as compared to the background stars? In what direction (east-to-west or west-to-east) does the planet appear to be moving relative to the background stars during this time?

6) During which dates does this mystery planet appear to move with backward, retrograde, motion, as compared to the background stars? In what direction (east-to-west or west­to-east) does the planet appear to be moving relative to the background stars during this time?

7) If a planet were moving with retrograde motion, how would the planet appear to move across the sky in a single night? Where would it rise? Where would it set?

8) Suppose your instructor says that Mars is moving with retrograde motion tonight and will rise at midnight. Consider the following student statement:

Student: Since Mars is moving with retrograde motion, during the night it will be moving west-to-east rather than east-to-west. So at midnight it will rise in the west and move across the sky and then later set in the east.

            Do you agree or disagree with the student? Explain your reasoning.

Date of Observation

Azimuth (degrees)

(horizontal direction)

Altitude (degrees)

(vertical direction)

May 1

240

45

May 15

210

50

June 1

170

50

June 15

150

45

July 1

170

40

July 15

180

45

August 1

140

50

August 15

120

55

60 50 45 40 35 30 E 25 20 15 10 90 110 130 50 170 190 210 230 250 270 Azimuth East West Figure 1

Explanation / Answer

Ans.

Q-8:

Ans. I disagree with the student. The reason is given above in the question- 7.