Fig. 13.—Star map of the region about Orion.
24. The moon's motion among the stars.—Whenever the moon is visible note its position among the stars by allineations, and plot it on the key map opposite [page 190]. Keep a record of the day and hour corresponding to each such observation. You will find, if the work is correctly done, that the positions of the moon all fall near the curved line shown on the map. This line is called the ecliptic.
After several such observations have been made and plotted, find by measurement from the map how many degrees per day the moon moves. How long would it require to make the circuit of the heavens and come back to the starting point?
On each night when you observe the moon, make on a separate piece of paper a drawing of it about 10 centimeters in diameter and show in the drawing every feature of the moon's face which you can see—e. g., the shape of the illuminated surface (phase); the direction among the stars of the line joining the horns; any spots which you can see upon the moon's face, etc. An opera glass will prove of great assistance in this work.
Use your drawings and the positions of the moon plotted upon the map to answer the following questions: Does the direction of the line joining the horns have any special relation to the ecliptic? Does the amount of illuminated surface of the moon have any relation to the moon's angular distance from the sun? Does it have any relation to the time at which the moon sets? Do the spots on the moon when visible remain always in the same place? Do they come and go? Do they change their position with relation to each other? Can you determine from these spots that the moon rotates about an axis, as the earth does? In what direction does its axis point? How long does it take to make one revolution about the axis? Is there any day and night upon the moon?
Each of these questions can be correctly answered from the student's own observations without recourse to any book.
25. The sun and its motion.—Examine the face of the sun through a smoked glass to see if there is anything there that you can sketch.
By day as well as by night the sky is studded with stars, only they can not be seen by day on account of the overwhelming glare of sunlight, but the position of the sun among the stars may be found quite as accurately as was that of the moon, by observing from day to day its right ascension and declination, and this should be practiced at noon on clear days by different members of the class.
Exercise 10.—The right ascension of the sun may be found by observing with the sidereal clock the time of its transit over the meridian. Use the equation in [§ 20], and substitute in place of U the value of the clock correction found from observations of stars on a preceding or following night. If the clock gains or loses with respect to sidereal time, take this into account in the value of U.
Exercise 11.—To determine the sun's declination, measure its altitude at the time it crosses the meridian. Use either the method of [Exercise 4], or that used with Polaris in [Exercise 8]. The student should be able to show from [Fig. 11] that the declination is equal to the sum of the altitude and the latitude of the place diminished by 90°, or in an equation