The system consists of an origin and three coordinate
planes. See Figure 2-13.
1. Origin: The origin is the intersection point of
the three coordinate planes and is located at the center
of the reference ellipsoid. In cases where the origin is
also located at the center mass of the earth, the system
is considered to be geocentric.
2. Coordinate Planes: The three mutually
perpendicular coordinate planes intersect in three
straight lines called coordinate axes. The axes
intersect at right angles at the origin.
a. Z-Axis: The Z-Axis corresponds to the
rotational axis of the reference ellipsoid (Semi-minor
Axis). It lies perpendicular to the plane containing the
X and Y Axes. The z-axis is positive from the origin
to the north pole.
b. X-Axis: The X-Axis lies on the equatorial
plane of the reference ellipsoid at the intersection of
the equatorial plane and the plane containing the
Prime Meridian. It is perpendicular to the plane
containing the Y and Z Axes. The x-axis is positive
from the origin to the Prime Meridian.
c. Y-Axis: The Y-Axis lies on the equatorial
plane of the reference ellipsoid, perpendicular to the
X-Axis. It is perpendicular to the plane containing the
X and Z Axes. The y-axis is positive east of the Prime
Meridian.
Figure 2-13 Coordinate Planes
b. The position of a point on the surface of the earth is
described in terms of X, Y, and Z coordinates. These
coordinates are distances, usually in meters, from the
plane formed by two axes to the point along a line that
is perpendicular to the plane and parallel to the third
axis. See Figure 2-14. The X, Y, and Z coordinates
are discussed below:
1. X coordinate: an x-coordinate is the length of a
line in the x-y plane that is parallel to the x-axis and
measured from the y-z plane.
2. Y coordinate: a y-coordinate is the length of a
line in the x-y plane that is parallel to the y-axis and
measured from the x-z plane.
3. Z coordinate: a z-coordinate is the length of a
line that is parallel to the z-axis and is measured from
the intersection of the x-coordinate and the
y-coordinate to a point on the surface of the earth.
4. The coordinates of the origin are (0,0,0).
Figure 2-14 Cartesian Coordinates
2-18 Geographic Coordinates
a. Geographic coordinates are any three dimensional
coordinate system which specifies the position of a
point on the surface of the earth in terms of Latitude
( ), Longitude ( ), and ellipsoid height (h). See
f
l
Figure 2-15. It is an inclusive term which can describe
both geodetic and astronomic positions.
Figure 2-15 Geographic Coordinates
b. Latitude and Longitude are generally represented in
degrees or degrees, minutes, and seconds along with a
cardinal direction corresponding to a hemisphere on
the earth. A position will never have more than 60
DRAFT
2-8
ROTATIONAL AXIS
POINT ON
EARTH'S SURFACE
l
f
h
REFERENCE ELLIPSOID
EQUATOR 0°
20°
40°
60°
80°
90°
90°
80°
60°
40°
20°
N
S
+