Over long periods of time, proper motions can lead to chang of familiar constell

Question

Over long periods of time, proper motions can lead to chang of familiar constellations. The table below shows the proper for some of the more prominent stars in a well known constel- lation. The diagram below shows the shape of the constellation 100,000 years ago, and the arrows indicate the direction of the proper motions. Complete parts a -c of this question. a. In the table to the right, first shift in linear staryrl) 100,000 yrs shlft determine the total shift in posi- tion in 100,000 years, and then using the scale, determine the equivalent linear amount in mm. Assume a scale of 950 seconds is equal to 1mm. .0 b. Using a ruler and the proper motion arrows indicated, extena tne arrow from the center of the star to the new position. Indicate the star's new location with a dot. c. Using a star chart identify this Northern constellation. 7

Explanation / Answer

(a)

Linear Shift

b. Using the given values of the linear shift the respective stars can be shifted in the direction of motion and new location can be obtained.

c. Using the new positions of stars, we have a consetellation which can be compared to the ones in star chart to look for name.

Star "/year Shift in 100,000 year

Linear Shift

alpha 0.138 138,000 145.2632 beta 0.087 87,000 91.5789 gamma 0.095 95,000 100 delta 0.106 106,000 111.5789 epsilon 0.114 114,000 120 zeta 0.127 127,000 133.6842 eta 0.123 123,000 129.4737

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