Answers to Tutorial Questions

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1.

    The North Star, or Polaris

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2a.

South.  The subsolar point will not move north of the Tropic of Cancer.  After the Solstice, the sun's direct rays will move towards the south (though the southward movement is so slow it is not apparent for a few days; "solstice" means "sun stands": the sun's rays reach the Tropic, and appear to stop for a while before moving south again).  The subsolar point will get to the Equator three months later, and to the Tropic of Capricorn about 3 months after that.

 

 

 

 

 

 

 

 

 

 

 

 

2. 

Twelve hours.  You can get at this in a couple of ways. One, the circle of illumination is a great circle, and so is the Equator.  Great Circles always bisect each other, so if the Equator cuts the circle of illumination in half, it must get 12 hours of light and 12 hours of dark.   Or, you can just figure that there are 0 hours of daylight at the South Pole and 24 at the North Pole, so since the Equator is halfway in between, it must get 12 hours of daylight.

 

 

 

 

 

 

 

 

 

 

 

Bonus question 1

a) the sun at noon would be 66 1/2 degrees above the horizon.  The sun's altitude at 23.5 degrees north is 90 degrees (directly overhead). The difference in latitude between the subsolar point (23.5 degrees north) and the equator (0 degrees) is 23.5.   90-23.5=66.5

 

 

 

 

 

 

 

 

 

 

Bonus question 1

b) the sun at noon would be 23 1/2 degrees above the horizon.  The sun's altitude at 23.5 degrees north is 90 degrees (directly overhead).   The difference in latitude between the subsolar point (23.5 degrees north) and the North Pole (90 degrees north) is 66.5.  90-66.5=23.5.  At the North Pole on the summer solstice, the sun circles around all day 23.5 degrees above the horizon.

 

 

 

 

 

 

 

 

3.

    North.

 

 

 

 

 

 

 

 

 

 

 

4.

    At the Tropic of Cancer--this will be the June solstice.

 

 

 

 

 

 

 

 

 

 

5.

    At the Equator--this will be the Equinox. For the northern hemisphere, it is the Spring (Vernal)              Equinox, since the subsolar point is moving north towards the Tropic of Cancer.

 

 

 

 

 

 

 

 

 

Answer 5a.

    Northern Hemisphere

 

 

 

 

 

 

 

 

 

 

6.

    23 1/2 degrees north

 

 

 

 

 

 

 

 

 

7.

    Tropic of Cancer, the northern boundary of the Tropics

 

 

 

 

 

 

 

 

 

8.

    twelve; daylength is always about 12 hours at the Equator

 

 

 

 

 

 

 

 

 

 

9.

    24; the sun does not rise or set at the North Pole on this day, it just circles around, 23 1/2 degrees      above the horizon

 

 

 

 

 

 

 

 

 

 

10.

    zero; the South Pole has 24 hours of night on the June Solstice, the sun does not rise above the              horizon

 

 

 

 

 

 

 

 

 

11.

    Antarctic

 

 

 

 

 

 

 

 

 

 

12.

    Arctic

 

 

 

 

 

 

 

 

 

 

13.

    Northern

 

 

 

 

 

 

 

 

 

 

14.

    66 1/2 degrees

 

 

 

 

 

 

 

 

 

 

 

15.

    southward, toward the Equator (reaching it in September), then to the Tropic of Capricorn (reaching it in December

 

 

 

 

 

 

 

 

 

 

 

16.

    23 1/2 degrees south

 

 

 

 

 

 

 

 

 

 

 

17.

    Tropic of Capricorn

 

 

 

 

 

 

 

 

 

 

 

18.

    12

 

 

 

 

 

 

 

 

 

 

 

19.

    zero

 

 

 

 

 

 

 

 

 

 

 

20.

    24

 

 

 

 

 

 

 

 

 

 

 

 

21.

    Arctic

 

 

 

 

 

 

 

 

 

 

 

 

 

 

22.

    Antarctic

 

 

 

 

 

 

 

 

 

 

 

 

23.

    Southern

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

24.

    66 1/2 degrees

 

 

 

 

 

 

 

 

 

 

 

 

 

 

25.

    northward

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

26.

    0 degrees

 

 

 

 

 

 

 

 

 

 

 

 

 

27.

    Equator

 

 

 

 

 

 

 

 

 

 

 

28.

    12 hours

 

 

 

 

 

 

 

 

 

 

 

 

 

 

29.

    12 hours

 

 

 

 

 

 

 

 

 

 

 

 

 

30.

    90 degrees

 

 

 

 

 

 

 

 

 

 

 

31.

    northward

 

 

 

 

 

 

 

 

 

 

 

32.

    longer

 

 

 

 

 

 

 

 

 

 

 

 

 

 

33.

    shorter

 

 

 

 

 

 

 

 

 

 

 

 

 

34.

    0 degrees

 

 

 

 

 

 

 

 

 

 

 

35.

    Equator

 

 

 

 

 

 

 

 

 

 

 

 

36.

    12

 

 

 

 

 

 

 

 

 

 

 

37.

    12

 

 

 

 

 

 

 

 

 

 

 

38.

    90 degrees

 

 

 

 

 

 

 

 

 

 

 

 

 

39.

    southwards

 

 

 

 

 

 

 

 

 

 

 

 

40.

    Southern

 

 

 

 

 

 

 

 

 

 

 

41.

    shorter

 

 

 

 

 

 

 

 

 

 

 

 

 

42.

    longer

 

 

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