Solve each problem. Angle through Which the Celestial North Pole Moves At...

Solve each problem.

Angle through Which the Celestial North Pole Moves At present, the north star Polaris is located very near the celestial north pole. However, because Earth is inclined 23.5°, the moon’s gravitational pull on Earth is uneven. As a result, Earth slowly precesses (moves in) like a spinning top, and the direction of the celestial north pole traces out a circular path once every 26,000 yr. See the figure. For example, in approximately A.D. 14,000 the star Vega—not the star Polaris—will be located at the celestial north pole. As viewed from the center C of this circular path, calculate the angle (to the nearest second) through which the celestial north pole moves each year. (Source: Zeilik, M., S. Gregory, and E. Smith, Introductory Astronomy and Astrophysics, Second Edition, Saunders College Publishers.