Coordinate systems

Real object coordinates can be expressed in different systems. The main systems are:

Geographic coordinate system

In a geographic coordinate system, latitude and longitude are used and are represented by two angles from the center of the earth:
  • Latitude = south to north +90 or 90N = north pole, -90 or 90S = south pole, and 0 is on the equator.
  • Longitude = east to west. 0 is in England.
An example of coordinates using the geographic: longitude and latitude with optional altitude is shown in Geographic coordinate system.
geographic.gif
Geographic coordinate system
In a geographic coordinate system the angular distance is expressed in degrees and minutes, for example, New York:
  • Latitude 40 Degrees 59'N
  • Longitude 73 Degrees 39'W
A geographic coordinate system is defined by:
  • The unit system of coordinates (angular unit and linear unit).
  • The prime meridian:
    • For example, the Greenwich meridian.
  • The horizontal datum:
    • A horizontal datum is used to represent the shape of the earth.
    • The datum is defined by an ellipsoid (the default is a sphere) and a translation of the ellipsoid (position of the ellipsoid relative to the center of the earth), see Horizontal Datum:
earthmode.gif
Horizontal Datum

Geocentric coordinate system

An example of coordinates using the geocentric: three-axis Cartesian system with the center of the earth as the origin is shown in Geocentric Coordinate System:
geocentric.gif
Geocentric Coordinate System
A three-axis Cartesian system is defined by:
  • Its origin, the center of the earth.
  • Its x-axis, which lies in the plane containing the equator and which is oriented towards the Greenwich meridian.
  • Its y-axis, which lies in the plane containing the equator and which is oriented towards the longitude 90 Degrees East of Greenwich.
  • Its z-axis, which corresponds to the polar axis and which is oriented northwards.
A geocentric coordinate system is defined by:
  • The unit system of coordinates (linear units) on the axes.
  • The horizontal datum.

Projected coordinate system

A projected coordinate system is a representation of the earth on a 2-D surface. Units are attached to each axis of a coordinate system. For example, for geographic coordinates:
  • x- and y-coordinates expressed in degrees
  • z-coordinate expressed in meters
A kernel unit is defined for each type of unit.
  • Length in meters
  • Angles in radians
Coordinate systems are used to display maps and a map projection is used to reduce the dimensions to two. A projected coordinate system is defined by:
  • The associated geographic coordinate system
  • The projection
  • The unit system of projected coordinates