7/31/2019 Cartography Power i
1/61
Cartography
Introduction
Datum
-Vertical-Horizontal
7/31/2019 Cartography Power i
2/61
7/31/2019 Cartography Power i
3/61
7/31/2019 Cartography Power i
4/61
7/31/2019 Cartography Power i
5/61
7/31/2019 Cartography Power i
6/61
7/31/2019 Cartography Power i
7/61
7/31/2019 Cartography Power i
8/61
7/31/2019 Cartography Power i
9/61
7/31/2019 Cartography Power i
10/61
7/31/2019 Cartography Power i
11/61
7/31/2019 Cartography Power i
12/61
7/31/2019 Cartography Power i
13/61
Geodetic Datums
Geodetic datums define the reference systems that describe the size and shape of the
earth. Hundreds of different datums have been used to frame position descriptions since
the first estimates of the earth's size were made by Aristotle. Datums have evolved fromthose describing a spherical earth to ellipsoidal models derived from years of satellite
measurements.
Modern geodetic datums range from flat-earth models used for plane surveying to
complex models used for international applications which completely describe the size,
shape, orientation, gravity field, and angular velocity of the earth. While cartography,surveying, navigation, and astronomy all make use of geodetic datums, the science of
geodesy is the central discipline for the topic.
Referencing geodetic coordinates to the wrong datum can result in position errors of
hundreds of meters. Different nations and agencies use different datums as the basis for
coordinate systems used to identify positions in geographic information systems, precise
positioning systems, and navigation systems. The diversity of datums in use today andthe technological advancements that have made possible global positioning
measurements with sub-meter accuracies requires careful datum selection and careful
conversion between coordinates in different datum.
7/31/2019 Cartography Power i
14/61
7/31/2019 Cartography Power i
15/61
Global Systems
Latitude, Longitude, Height
oThe most commonly used coordinate system today is the latitude, longitude,
and height system.
oThe Prime Meridian and the Equator are the reference planes used to define
latitude and longitude.
oThe geodetic latitude (there are many other defined latitudes) of a point is the
angle from the equatorial plane to the vertical direction of a line normal to the
reference ellipsoid.
oThe geodetic longitude of a point is the angle between a reference plane and a
plane passing through the point, both planes being perpendicular to the equatorial
plane.
The geodetic height at a point is the distance from the reference ellipsoid to the
point in a direction normal to the ellipsoid.
7/31/2019 Cartography Power i
16/61
7/31/2019 Cartography Power i
17/61
ECEF X, Y, Z
oEarth Centered, Earth Fixed Cartesian coordinates are also used to define three
dimensional positions.
oEarth centered, earth-fixed, X, Y, and Z, Cartesian coordinates (XYZ) define
three dimensional positions with respect to the center of mass of the reference
ellipsoid.
oThe Z-axis points toward the North Pole.
oThe X-axis is defined by the intersection of the plane define by the prime
meridian and the equatorial plane.
The Y-axis completes a right handed orthogonal system by a plane 90 degrees east
of the X-axis and its intersection with the equator.
7/31/2019 Cartography Power i
18/61
Universal Transverse Mercator (UTM)
Universal Transverse Mercator (UTM) coordinates define two dimensional,
horizontal, positions.
UTM zone numbers designate 6 degree longitudinal strips extending from 80
degrees South latitude to 84 degrees North latitude.
UTM zone characters designate 8 degree zones extending north and south
from the equator.
There are special UTM zones between 0 degrees and 36 degrees longitudeabove 72 degrees latitude and a special zone 32 between 56 degrees and 64
degrees north latitude.
7/31/2019 Cartography Power i
19/61
7/31/2019 Cartography Power i
20/61
Each zone has a central meridian. Zone 14, for example, has a
central meridian of 99 degrees west longitude. The zone
extends from 96 to 102 degrees west longitude.
7/31/2019 Cartography Power i
21/61
7/31/2019 Cartography Power i
22/61
7/31/2019 Cartography Power i
23/61
7/31/2019 Cartography Power i
24/61
7/31/2019 Cartography Power i
25/61
World Geographic Reference System (GEOREF)
oThe World Geographic Reference System is used for aircraftnavigation.
oGEOREF is based on latitude and longitude.
oThe globe is divided into twelve bands of latitude andtwenty-four zones of longitude, each 15 degrees in extent.
7/31/2019 Cartography Power i
26/61
7/31/2019 Cartography Power i
27/61
These 15 degree areas are further divided into one degree
units identified by 15 characters.
7/31/2019 Cartography Power i
28/61
Two numeric characters designate the integer number of minutes of
longitude east of the one degree quadrangle boundary longitude.
Two additional numeric characters designate the number of minutes
of latitude north of the one degree quadrangle boundary latitude.
7/31/2019 Cartography Power i
29/61
The World Geographic Reference System can be extended to refer
to larger areas of operation.
A larger East-West area can be designated by adding an "S" and thenumber of of nautical miles to the east and west sides of the
referenced point.
A larger north-south area can be designated by adding an "X" and
the number of nautical miles to the north and south.
A circular area can be designated by adding an "R" and the radius
of the circle in nautical miles.
An altitude zone can be defined by adding an "H" and a value of
altitude. The number of digits indicates the precision of the value.
Five digits implies units in feet. Four digits implies tens of feet,three digits, hundreds of feet, and two digits, thousands of feet.
7/31/2019 Cartography Power i
30/61
Local systems
oUniversal Polar Stereographic (UPS)
The Universal Polar Stereographic projection (UPS) is
defined above 84 degrees north latitude and south of 80
degrees south latitude.
The eastings and northings are computed using a polar
aspect stereographic projection.
Zones are computed using a different character set for south
and north Polar regions.
7/31/2019 Cartography Power i
31/61
7/31/2019 Cartography Power i
32/61
7/31/2019 Cartography Power i
33/61
7/31/2019 Cartography Power i
34/61
7/31/2019 Cartography Power i
35/61
National Grid Systems
oMany nations have defined grid systems based on coordinates that cover their territory.
Australia, Belgium, Great Britain, Finland , Ireland, Italy, The Netherlands, New Zealand,and Sweden are a examples of nations that have defined a National Grid System.
oBritish National Grid (BNG)
oThe British National Grid (BNG) is based on the National Grid System of England,
administered by the British Ordnance Survey.
oThe BNG has been based on a Transverse Mercator projection since the 1920s.oThe modern BNG is based on the Ordnance Survey of Great Britain Datum 1936 (Airy
Ellipsoid).
oThe true origin of the system is at 49 degrees north latitude and 2 degrees west longitude.
oThe false origin is 400 km west and 100 km north.
oScale at the central meridian is 0.9996012717
oThe first BNG designator defines a 500 km square.
The second designator defines a 100 km square.
http://www.nls.fi/kartta/julkaisu/kkj.htmlhttp://www.nls.fi/kartta/julkaisu/kkj.html7/31/2019 Cartography Power i
36/61
7/31/2019 Cartography Power i
37/61
The remaining numeric characters define 10 km, 1 km, 100 m, 10 m, or 1 m
eastings and northings.
7/31/2019 Cartography Power i
38/61
oThe Irish National Grid (ING) is administered by the Irish Ordnance
Survey.
oThe ING has been based on a Transverse Mercator projection since the
1920s.
oThe ING is based on the Ordnance Survey of Great Britain Datum 1936 or
the Ireland Datum 1965.
oThe true origin of the system is at 53 degrees, 30 minutes north latitude and
8 degrees west longitude.
oThe false origin is 200 km west and 250 km south of the true origin.
oScale at the central meridian is 1.000035.
oThe first ING designator defines a 100 km square.
oThe remaining numeric characters define 10 km, 1 km, 100 m, 10 m, or 1
m eastings and northings.
7/31/2019 Cartography Power i
39/61
7/31/2019 Cartography Power i
40/61
7/31/2019 Cartography Power i
41/61
State Plane Coordinates
In the United States, the State Plane System was developed in the 1930s and was based on the
North American Datum 1927 (NAD27).
NAD 27 coordinates are based on the foot.While the NAD-27 State Plane System has been superseded by the NAD-83 System, maps in
NAD-27 coordinates (in feet) are still in use.
Most USGS 7.5 Minute Quadrangles use several coordinate system grids including latitude
and longitude, UTM kilometer tic marks, and applicable State Plane coordinates.
The State Plane System 1983 is based on the North American Datum 1983 (NAD83).NAD 83 coordinates are based on the meter.
State plane systems were developed in order to provide local reference systems that were tied
to a national datum.
Some smaller states use a single state plane zone.
Larger states are divided into several zones.
State plane zone boundaries often follow county boundaries.
Lambert Conformal Conic projections are used for rectangular zones with a larger east-west
than north- south extent.
Transverse Mercator projections are used to define zones with a larger north-south extent.
One State Plane zone in Alaska uses an oblique Mercator projection for a thin diagonal area.
7/31/2019 Cartography Power i
42/61
7/31/2019 Cartography Power i
43/61
7/31/2019 Cartography Power i
44/61
7/31/2019 Cartography Power i
45/61
7/31/2019 Cartography Power i
46/61
oTransverse Mercator projections are used to define zones with a larger north-
south extent.
One State Plane zone in Alaska uses an oblique Mercator projection for a thin
diagonal area.
7/31/2019 Cartography Power i
47/61
Public Land Rectangular Surveys
Public Land Rectangular Surveys have been used since the 1790s to identify public lands in the
United States.
The system is based on principal meridians and baselines.
Townships, approximately six miles square, are numbered with reference to baseline and principal
meridian.
Ranges are the distances and directions from baseline and meridian expressed in numbers of
townships.
Every four townships a new baseline is established so that orthogonal meridians can remain north
oriented.
Sections, approximately one mile square, are numbered from 1 to 36 within a township.
Sections are divided into quarter sections.
Quarter sections are divided into 40-acre, quarter-quarter sections.
Quarter-quarter sections are sometimes divided into 10-acre areas.Fractional units of section quarters, designated as numbered lots, often result from irregular claim
boundaries, rivers, lakes, etc.
Abbreviations are used for Township (T or Tps), Ranges (R or Rs), Sections(sec or secs), and
directions (N, E, S, W, NE, etc.).
7/31/2019 Cartography Power i
48/61
7/31/2019 Cartography Power i
49/61
7/31/2019 Cartography Power i
50/61
7/31/2019 Cartography Power i
51/61
7/31/2019 Cartography Power i
52/61
Metes and Bounds
Metes and Bounds identify the boundaries of land parcels by
describing lengths and directions of lines.
Lines are described with respect to natural or artificial monuments
and baselines defined by these monuments.
The metes and bounds survey is based on a point of beginning, an
established monument.
Line lengths are measured along a horizontal level plane.
Directions are bearing angles measured with respect to a previous
line in the survey.
7/31/2019 Cartography Power i
53/61
7/31/2019 Cartography Power i
54/61
Miscellaneous Systems
oPostal Codes
oPostal codes such as the United States ZIP code can beused to identify areas.
oThree digit codes identify large areas.
oTexas 3-Digit Postal Zip Codes
Five-digit ZIP codes identify smaller areas.
http://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip3.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip5.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip5.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip5.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip5.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip3.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip3.gifhttp://www.colorado.edu/geography/gcraft/notes/coordsys/gif/texzip3.gif7/31/2019 Cartography Power i
55/61
7/31/2019 Cartography Power i
56/61
7/31/2019 Cartography Power i
57/61
7/31/2019 Cartography Power i
58/61
7/31/2019 Cartography Power i
59/61
7/31/2019 Cartography Power i
60/61
7/31/2019 Cartography Power i
61/61