Homework due in class, Oct 24. Show your work, neatly.

1) Calculate the azimuths of the star Procyon (declination 5° N) when its zenith distance (the angle from zenith to star) is 75° as seen by an observer at latitude 45° N. Draw a diagram. (Answer: 261.9°) (6 points)

2) Calculate the hour angle of Vega (declination 38° 44' N) when on the prime vertical west (the line from the zenith to the west point) at latitude 40° (Answer: 1H 08M 19S) . For what latitudes is Vega circumpolar? Draw a diagram.( 6 points)

3) What is your local solar time for the following locations and UT's: (6 points)

(Answers: 19H 47M 12S, 01H 03M 36S, 11H 39M 44S)

4) What is the LST for the following locations and LSTs at Greenwich: (6 points)

(Answers: 19H 04M 12S, 16H 14M 52S, 14H 55M 16S)

5) Find the hour angle for Vega (RA 18h 34m 52s) for an observer at longitude 126° 34' E. The local time is 06h 30m Feb 2 and the LST at Greenwich was 08h 45m 09s at midnight on Feb 2 (Answer: 05H 06M 33S West). (6 points)