By B. A. Vorontsov-Vel'Yaminov
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Additional info for Astronomical Problems. An Introductory Course in Astronomy
What is the Right Ascension and the Declination of the Sun on the 22nd March and on the 23rd September? 195. What are the Right Ascension and the Declination of the Sun on the 22nd June? What are they on the 22nd December? 196. What are the latitude and the longitude of the Sun when its Right Ascension is 6 and 12 hr, respectively? 197. )? 198. What is the height of the Sun at Moscow (φ = 55°45') at midday on the day of the Summer Solstice ? 199. At the mouth of the Belomorsco-Baltinsco canal (the canal between the White Sea and the Baltic), in the town of Belomorsk the altitude of the celestial North Pole is 64p33'.
Figure 8 represents the projection of the celestial sphere on the FIG. 8. The celestial sphere in projection upon the plane of the meridian. 27 28 ASTRONOMICAL PROBLEMS plane of the meridian, at the moment of highest culmination of a body. The Declination δ, the zenithal distance z, and the latitude φ of the place of observation are connected by the formula z = ±(φ-δ). The sign + applies if the star culminates to the south of the zenith, and the sign — applies if the star culminates between the zenith and the North celestial Pole.
Did the eclipse take place before the apparent noon ? *268. At the culmination of Arcturus (λ = 14 hr 12 min) on the 15th August the sidereal clocks in an observatory gave the time as 15 hr 18 min. Is this possible? If not, what would account for the discrepancy between the observation and theory? 269. The star y Ursae Minoris (a = 15 hr 20 min 49 sec) is THE DETERMINATION OF TIME AND LONGITUDE 55 observed in lower culmination, when sidereal clocks give the time as 3 hr 39 min 33 sec. What is the clock correction?