The length of the day

The following exercises are based on tables produced by the U.S. Naval Observatory. As do most astronomers, these tables use 24-hour time. You will probably find it easy to use the 24-hour system for these exercises. To get the times in the 12-hour system, subtract 12 hours from all times greater than 12:59. These times will be PM. The hour 0 becomes 12 AM in the 12-hour system.

I. Purpose:
Learn how the elliptical orbit of the earth around the sun influences the times of sunrise and sunset.

Activity:
Open tables of sunrise/sunset for entire year. Using part A, open the file for Sunrise and Sunset in Washington, DC for the current year.
From this table determine the following dates:
    The date of the earliest sunrise:
    The date of the latest sunset:
    Are these the same day? Why do you think that they might not be?

    The date of the earliest sunset:
    The date of the latest sunrise:
    Are these dates the same as that of the winter solstice? Why might they differ?

From the table, answer the following questions:
     What day is the longest?
    What day is the shortest?
    On what date is the sun above the horizon for exactly twelve hours?
    Is this on the date of the spring or autumnal equinox? Why or why not?
After you have thought about these questions, see discussion for more information.

II. Purpose:
Learn how sunrise and sunset times change with geographical position

Activity:
Using part A, determine the time of sunrise and sunset on January 1, April 1, July 1, and October 1 for the U.S. Cities: Washington, DC (latitude 39 deg. North; longitude 77 deg. west) and Fairbanks Alaska ( north latitude 65 deg.; longitude 148 deg. west)   Write down these times in the following tables:

SUNRISE
Date Washington, DC Fairbanks, AK Quito, Equator
January 1 . . .
April 1 . . .
July 1 . . .
September 1 . . .
SUNSET
Date Washington, DC Fairbanks, AK Quito, Ecuador
January 1 . . .
April 1 . . .
July 1 . . .
September 1 . . .
Using part B, determine the same information for Quito, Ecuador (10 min. S latitude,  79 deg. W longitude.) Add these times to the tables also.

From the data in the tables, answer the following questions:

        In which city does the time of sunrise vary the most during the year?
        In which city does it vary the least?
    Why do you think this might be?

        Now that you see how the times of sunrise and sunset change with latitude, estimate the times of sunrise and sunset on each of the four days for:
    Seattle, WA (latitude 47.5 deg. north; longitude 122.3 deg. west) and
    Miami, FL (latitude 26 deg. north; longitude 80 deg. west).
Write your estimates in the following tables:

SUNRISE
Date 
Washington, DC
Columbus, OH
January 1 . .
April 1 . .
July 1 . .
September 1 . .
SUNSET
Date 
Washington, DC
Columbus, OH
January 1 . .
April 1 . .
July 1 . .
September 1 . .
Check your estimates from the Web site. They will not agree exactly but should be close.

Now find the time of sunrise and sunset on these dates for Columbus, OH (latitude 40 deg. north; longitude 83 deg. west). The latitude of Columbus is almost the same as that of Washington.
    Are the times of sunrise and sunset the same?
    Why or why not?

Now that you understand how sunset and and sunset change with latitude, how do you think that the length of twilight will change with latitude? Check your understanding by looking up the beginning and end of astronomical twilight in Fairbanks, Washington, DC, and Quito. Use the tables for the times of twilight. (Astronomical twilight begins in the morning when the sun rises to 18 degrees below the horizon and ends in the evening when the sun declines to 18 degrees below the horizon. At that time the sky is nearly as dark as it will get during the night.)  You may find it helpful to write the times in the following tables:

BEGINNING OF ASTRONOMICAL TWILIGHT - MORNING
Date Washington, DC Fairbanks, AK Quito, Ecuador
January 1 . . .
April 1 . . .
July 1 . . .
September 1 . . .

END OF ASTRONOMICAL TWILIGHT - EVENING

Date Washington, DC Fairbanks, AK Quito, Ecuador
January 1 . . .
April 1 . . .
July 1 . . .
September 1 . . .

III. Purpose:

Learn a little about the moon

For these questions, use the table of the phases of the moon from 1900 to 2005. When will the next Blue Moon be?   (This assumes the modern meaning of "Blue Moon", indicating the second full moon in a single month.)

How many days elapse between successive full moons.
Is this always the same?  (See day of the year for helpful information.)