Problem 1.10. [10] The right ascension and declination of the seven stars of the Big Dipper are given below. Star Right Ascension Declination Alkaid 13h48m +49-190 Mizar 13h24m +54-560 Alioth 12h54m +55-580 Megrez 12h15m +57-020 Phecda 11h54m +53-420 Merak 11h02m +56-230 Dubhe 11h04m +61-450 (a) Find range of latitudes for which all of the stars of the Big Dipper are circumpolar. (b) Find the southernmost latitude from which all of the stars of the Big Dipper can be seen.

Applications and Investigations in Earth Science (9th Edition)
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Chapter1: The Study Of Minerals
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Problem 1.10. [10] The right ascension and declination of the seven stars of the Big Dipper are given below.
Star Right Ascension Declination
Alkaid 13h48m +49-190
Mizar 13h24m +54-560
Alioth 12h54m +55-580
Megrez 12h15m +57-020
Phecda 11h54m +53-420
Merak 11h02m +56-230
Dubhe 11h04m +61-450
(a) Find range of latitudes for which all of the stars of the Big Dipper are circumpolar.
(b) Find the southernmost latitude from which all of the stars of the Big Dipper can be seen.
(c) Find the range of latitudes for which none of the stars of the Big Dipper are ever seen above the
horizon.
Hints: Use the results from problem 1.9(c) and (d). Be careful when subtracting angles given in degrees and
arcmin.
For example, 58-150-22-230 = 57-750-22-230 = 35-520. Also, note that -37-180= -37⁰-180, not
-37-+180. So, for example, 15-200-31-120= 15-+200-310-120 = -16°+80= -15°-520.
Transcribed Image Text:Problem 1.10. [10] The right ascension and declination of the seven stars of the Big Dipper are given below. Star Right Ascension Declination Alkaid 13h48m +49-190 Mizar 13h24m +54-560 Alioth 12h54m +55-580 Megrez 12h15m +57-020 Phecda 11h54m +53-420 Merak 11h02m +56-230 Dubhe 11h04m +61-450 (a) Find range of latitudes for which all of the stars of the Big Dipper are circumpolar. (b) Find the southernmost latitude from which all of the stars of the Big Dipper can be seen. (c) Find the range of latitudes for which none of the stars of the Big Dipper are ever seen above the horizon. Hints: Use the results from problem 1.9(c) and (d). Be careful when subtracting angles given in degrees and arcmin. For example, 58-150-22-230 = 57-750-22-230 = 35-520. Also, note that -37-180= -37⁰-180, not -37-+180. So, for example, 15-200-31-120= 15-+200-310-120 = -16°+80= -15°-520.
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