Find the difference in declination between the two stars in seconds of arc. 3. T

Question

Find the difference in declination between the two stars in seconds of arc.

3. The coordinates of the two reference stars are as follows: Declination 58° 41' 54" 59° 46' 04" Star Right Ascension Omicron Draconis 16h om 57 SAO 029766 16h om 58 (a) Find the difference in declination between the two stars in seconds of arc. Record this value on your data sheet. Remember that there are 60 minutes of arc in a degree and 60 seconds of arc per minute of arc. (b) Use a millimeter ruler and measure the linear distance between the images of Omicron Draconis and SAO 029766 on Figure 23-la or b. Record this value to the tenth- millimeter

Explanation / Answer

The declination in (Degrees)(Minutes)(Seconds) can be converted to seconds of arc as:

(Degrees x 3600)" + (Minutes x 60)" + (Seconds)

Declination of Omicron Draconis: (58 x 3600)" + (41 x 60)" + 54"

208800" + 2460" + 54" = 211314 seconds of arc

Declination of SAO 029766: (59 x 3600)" + (46 x 60)" + 4"

212400" + 2760" + 4" = 215164 seconds of arc

Thus, the difference in declination between the two stars is 215164 - 211314 = 3850 seconds of arc.

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