1. Chapter 17 Longitudes & Latitudes
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2. N
longitudes
latitude S
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4. East North West South 子午线 N The prime Meridian Equator 赤道 S 8/22/2018
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5. latitudes 纬线
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6. N (0 degree Equator) S Center of the circle 8/22/2018
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7. we said that the position of P is . N
If ,
we said that the position of P is N P O Q
The side view is shown on next slide S
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8. N 北纬 P Q O
Equator S
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9. The side view of the earth :N
R:radius of the earth=6370km O E r1
r1, r2, r3 are radius of each small circle r2 r3 S
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10. R=6370 km R
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11. r How to calculate the radius of small circles? N P Q O S 8/22/2018
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12. Find the difference between the latitudes: (a) (b)
e.g. 1
Find the difference between the latitudes:
(a)
(b)
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13. Soln : Difference between latitudes (b) Difference between latitudes
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14. Find the difference between the latitudes: (a) (b)
e.g. 2
Find the difference between the latitudes:
(a)
(b)
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15. Soln : Difference between latitudes (b) Difference between latitudes
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16. longitudes 经线
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17. N B C O A D S
Greenwich Meridian
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18. Longitude of A and B are Longitude of C and D are 8/22/2018
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19. What is the position of R ?Q S
Greenwich Meridian
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20. Viewing from the top of N
So, R is O P R Q
Greenwich Meridian
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21. e.g. 2 Given that and , find the difference between P and Q. 8/22/2018
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22. Soln :
Latitude O P E Q G
So, angle POQ is
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23. Some important facts : Radius of the Earth = 6370km
1 nautical mile = km
Arc length of a circle = , where is in radians
Radius of small circle ,
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24. 5.
1’ = 1 nautical mile 海里
1 hour =
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25. e.g. 3
Find the distance between P and Q in (a) nautical miles , (b) in km of e.g. 2
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26. Soln :
Latitude
PO=r O P Q G
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28. e.g. 4
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29. Soln : N P E O Q S Distance between PQ=6300x1.853 km =11,673.9 km
=6300 n.m. E O Q S
Distance between PQ=6300x1.853 km
=11,673.9 km
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30. e.g. 5
If the standard time (标准时) of London is 9am (0900), find the local time of Tokyo
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31. Soln : L has the same logitude as Greenwich i.e. zero degree. O
The time difference between L and T : L T
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32. i.e. It is 06:20 pm Tokyo is on the East side of London. 8/22/2018
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33. e.g. 6
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34. Soln : Sydne NY G i.e. afternoon 4 o’clock.
Longitude difference between 2 cities : NY G
Time difference
Local time of Sydne is
i.e. afternoon 4 o’clock.
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35. e.g. 7
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36. Soln :
A and B are both on the same longitude : 110 degree East A
Distance between A and B = 2000 km B O E
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37. A B O E So, the latitude of A is : Hence, the location of A is
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38. e.g. 8
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39. Soln : N
P/Q r O O E Q P S
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40. = km
= / n.m.
= n.m.
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