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Geographic coordinate system

            Class#34
       Reg#09pwciv3200
        Presentation#01
Geographic coordinate system



A geographic coordinate system is a coordinate system that enables every
location on the Earth to be specified by a set of numbers. The coordinates are
often chosen such that one of the numbers representvertical position, and
two or three of the numbers represent horizontal position. A common choice of
coordinates is latitude, longitude and elevation.
Latitude
Imagine the Earth was a transparent sphere (actually the shape is slightly
oval; because of the Earth's rotation, its equator bulges out a little).
Through the transparent Earth (drawing) we can see its equatorial
plane, and its middle the point is O, the center of the Earth.To specify the
latitude of some point P on the surface, draw the radius OP to that point.
Then the elevation angle of that pointabove the equator is its latitude λ--
northern latitude if north of the equator, southern (or negative) latitude
if south of it.

 [How can one define the angle between a line and a plane, you may well ask?
After all, angles are usually measured between two lines!
  Good question. We must use the angle which completes it to 90 degrees, the
one between the given line and oneperpendicular to the plane. Here that would
be the angle (90°-λ) between OP and the Earth's axis, known as theco-latitude of
P.]
Latitude


On a globe of the Earth, lines of latitude are circles of different size. The longest
is the equator, whose latitude is zero, while at the poles--at latitudes 90° north
and 90° south (or -90°) the circles shrink to a point.
Latitude
Longitude

On the globe, lines of constant longitude ("meridians") extend from pole to
pole, like the segment boundaries on a peeled orange.



   Every meridian must cross the equator. Since the equator is a circle, we can divide
it--like any circle--into 360 degrees, and the longitude φ of a point is then the
marked value of that division where its meridian meets the equator.



  What that value is depends of course on where we begin to count--on where zero
longitude is. For historical reasons, the meridian passing the old Royal Astronomical
Observatory in Greenwich, England, is the one chosen as zero longitude. Located at
the eastern edge of London, the British capital,
Longitude
the observatory is now a public museum and a brass band stretching across its
yard marks the "prime meridian." Tourists often get photographed as they
straddle it--one foot in the eastern hemisphere of the Earth, the other in the
western hemisphere.

A lines of longitude is also called a meridian, derived from the Latin,
from meri, a variation of "medius" which denotes "middle", and diem,
meaning "day." The word once meant "noon", and times of the day before
noon were known as "ante meridian", while times after it were "post
meridian." Today's abbreviations a.m. andp.m. come from these terms, and
the Sun at noon was said to be "passing meridian". All points on the same
line of longitude experienced noon (and any other hour) at the same time
and were therefore said to be on the same "meridian line", which became
"meridian" for short.
Longitude




Longitude
 lines or "meridians"
About time--Local and Universal
 Two important concepts, related to latitude and (especially) longitude are Local time
(LT) and Universal time (UT) Local time is actually a measure of the position of the
Sun relative to a locality. At 12 noon local time the Sun passes to the south and is
furthest from the horizon (northern hemisphere). Somewhere around 6 am it rises, and
around 6 pm it sets. Local time is what you and I use to regulate our lives locally, our
work times, meals and sleep-times.
  But suppose we wanted to time an astronomical event--e.g. the time when the 1987
supernova was first detected. For that we need a single agreed-on clock, marking time
world-wide, not tied to our locality. That is universal time (UT), which can be defined
(with some slight imprecision, no concern here) as the local time in
Greenwich, England, at the zero meridian.
Q/A

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Pr 1

  • 1. Geographic coordinate system Class#34 Reg#09pwciv3200 Presentation#01
  • 2. Geographic coordinate system A geographic coordinate system is a coordinate system that enables every location on the Earth to be specified by a set of numbers. The coordinates are often chosen such that one of the numbers representvertical position, and two or three of the numbers represent horizontal position. A common choice of coordinates is latitude, longitude and elevation.
  • 3. Latitude Imagine the Earth was a transparent sphere (actually the shape is slightly oval; because of the Earth's rotation, its equator bulges out a little). Through the transparent Earth (drawing) we can see its equatorial plane, and its middle the point is O, the center of the Earth.To specify the latitude of some point P on the surface, draw the radius OP to that point. Then the elevation angle of that pointabove the equator is its latitude λ-- northern latitude if north of the equator, southern (or negative) latitude if south of it. [How can one define the angle between a line and a plane, you may well ask? After all, angles are usually measured between two lines! Good question. We must use the angle which completes it to 90 degrees, the one between the given line and oneperpendicular to the plane. Here that would be the angle (90°-λ) between OP and the Earth's axis, known as theco-latitude of P.]
  • 4. Latitude On a globe of the Earth, lines of latitude are circles of different size. The longest is the equator, whose latitude is zero, while at the poles--at latitudes 90° north and 90° south (or -90°) the circles shrink to a point.
  • 6. Longitude On the globe, lines of constant longitude ("meridians") extend from pole to pole, like the segment boundaries on a peeled orange. Every meridian must cross the equator. Since the equator is a circle, we can divide it--like any circle--into 360 degrees, and the longitude φ of a point is then the marked value of that division where its meridian meets the equator. What that value is depends of course on where we begin to count--on where zero longitude is. For historical reasons, the meridian passing the old Royal Astronomical Observatory in Greenwich, England, is the one chosen as zero longitude. Located at the eastern edge of London, the British capital,
  • 7. Longitude the observatory is now a public museum and a brass band stretching across its yard marks the "prime meridian." Tourists often get photographed as they straddle it--one foot in the eastern hemisphere of the Earth, the other in the western hemisphere. A lines of longitude is also called a meridian, derived from the Latin, from meri, a variation of "medius" which denotes "middle", and diem, meaning "day." The word once meant "noon", and times of the day before noon were known as "ante meridian", while times after it were "post meridian." Today's abbreviations a.m. andp.m. come from these terms, and the Sun at noon was said to be "passing meridian". All points on the same line of longitude experienced noon (and any other hour) at the same time and were therefore said to be on the same "meridian line", which became "meridian" for short.
  • 9. About time--Local and Universal Two important concepts, related to latitude and (especially) longitude are Local time (LT) and Universal time (UT) Local time is actually a measure of the position of the Sun relative to a locality. At 12 noon local time the Sun passes to the south and is furthest from the horizon (northern hemisphere). Somewhere around 6 am it rises, and around 6 pm it sets. Local time is what you and I use to regulate our lives locally, our work times, meals and sleep-times. But suppose we wanted to time an astronomical event--e.g. the time when the 1987 supernova was first detected. For that we need a single agreed-on clock, marking time world-wide, not tied to our locality. That is universal time (UT), which can be defined (with some slight imprecision, no concern here) as the local time in Greenwich, England, at the zero meridian.