For the purposes of this document, the following terms and definitions apply. Symbols or abbreviations used as representations for the term are listed immediately following the term. After the definition, where necessary, an additional clarifying note may be provided. Terms defined in the body of this document are presented in italics at the point where they are defined. The Index provides a directory of those terms defined in the body of this International Standard.
3.1.1
spherical harmonic expansion of the gravitational field potential
NOTE Rotational effects are not included in this model; gravity includes rotational effects.
3.1.2
plane defined by the orbit of a planet at a point in time
3.1.3
plane through a designated centre of an object and normal to the rotational axis of the object
3.1.4
datum describing the relationship of a coordinate system to the Earth [ISO 19111]
NOTE In most cases, the geodetic datum includes an ellipsoid definition.
3.1.5
that pole of rotation that lies on the north side of the invariable plane of the solar system [RIIC]
NOTE 1 Some planets have retrograde rotation with respect to this definition.
NOTE 2 Map north (see Clause 5) may be unrelated to this direction.
3.1.6
physical or virtual object to which spatial information applies
3.1.7
mathematical function that re-expresses coordinates, directions, and/or distances expressed in one spatial reference frame in terms of a different spatial reference frame or a mathematical function for distance or other geometric quantities within a single spatial reference frame
Table 3.1 lists the mathematical notation conventions used in this document.
Table 3.1 — Mathematical notation
Style |
Use |
Examples |
lower case, bold, italic |
points, vectors |
x, p |
lower case, italic |
variables, scalars, scalar-valued functions, axes of a linear coordinate system |
a, b, f, x-axis |
upper case, bold, italic |
vector-valued functions, matrices |
F, G, M |
upper case, italic |
sets |
S, T |
Upper case italic letter symbols are also used for scalar-valued functions that are customarily capitalized.
EXAMPLE RN in Table 5.6.
Table 3.2 lists the symbols used in this document.
Table 3.2 — Symbols
Symbol |
Definition |
a |
major semi-axis length of an oblate ellipsoid |
b |
minor semi-axis length of an oblate ellipsoid |
f |
flattening (see Table 5.6) |
h |
ellipsoidal height |
he |
elevation |
k0 |
central scale |
RM |
radius of curvature in the meridian (see Table 5.6) |
RN |
radius of curvature in the prime vertical (see Table 5.6) |
Rn |
vector space of n-tuples |
|
meridional distance to equator (see Table 5.6) |
α |
azimuth |
|
(first) eccentricity (see Table 5.6) |
|
second eccentricity (see Table 5.6) |
φ |
geodetic latitude |
γ |
convergence of the meridian |
Λc |
longitudinal centring (see Table 5.6) |
λ |
geodetic or planetodetic longitude |
θ |
spherical latitude or depression/elevation angle or cylindrical angle or (polar) angle |
ρ |
radius or range |
ξ |
height |
Table 3.3 lists the abbreviated terms used in this document. In the specification of an abbreviation, the letters in the abbreviated term used to form the abbreviation are presented in upper-case and other letters are presented in lower-case with one exception. When the abbreviated term includes another abbreviation that is used to form the abbreviation for that term, all the letters of the included abbreviation are presented in upper-case even if all of the letters are not used in the formed abbreviation.
Abbreviation |
Abbreviated term |
one Dimensional |
|
two Dimensional |
|
three Dimensional |
|
Application Program Interface |
|
Computer Aided Design/ Computer Aided Manufacturing |
|
Coordinate System |
|
Convergence Of the Meridian |
|
Designated Spatial Surface |
|
East |
|
Earth Reference Model |
|
Geo Tile Reference System |
|
International Electrotechnical Commission |
|
Institut Géographique National (France) |
|
International Organization for Standardization |
|
Joint Technical Committee |
|
Moderate resolution Transmittance (atmospheric radiation transfer) |
|
Map Projection |
|
North |
|
Nouvelle Triangulation Français (France) |
|
Object Binding Rule Set |
|
Object Reference Model |
|
Object Reference Model Template |
|
Reference Datum |
|
Reference Transformation |
|
South |
|
Système International d'unités (International System of Units) |
|
Spatial Reference Frame |
|
Spatial Reference Frame Set |
|
Spatial Reference Frame Template |
|
Spatial Reference Model |
|
SRF Set Member |
|
Temps Atomique International (International Atomic Time) |
|
United Kingdom |
|
United States |
|
Coordinated Universal Time |
|
West |
|
World Geodetic System |