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3        Terms, definitions, symbols, and abbreviated terms

3.1        Terms and definitions

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

Earth gravitational model

spherical harmonic expansion of the gravitational field potential

NOTE  Rotational effects are not included in this model; gravity includes rotational effects.

3.1.2

ecliptic plane

plane defined by the orbit of a planet at a point in time

3.1.3

equatorial plane

plane through a designated centre of an object and normal to the rotational axis of the object

3.1.4

geodetic datum

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

north pole

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

spatial object

physical or virtual object to which spatial information applies

3.1.7

spatial operation

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

3.2        Notation, symbols and abbreviated terms

Table 3.1 lists the mathematical notation conventions used in this document.

Table 3.1Mathematical 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 3.2Symbols

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

formula or figure

meridional distance to equator (see Table 5.6)

 α

azimuth

formula or figure

(first) eccentricity (see Table 5.6)

formula or figure

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.

Table 3.3Abbreviated terms

Abbreviation

Abbreviated term

1D

one Dimensional

2D

two Dimensional

3D

three Dimensional

API

Application Program Interface

CAD/CAM

Computer Aided Design/ Computer Aided Manufacturing

CS

Coordinate System

COM

Convergence ­Of the Meridian

DSS

Designated Spatial Surface

E

East

ERM

Earth Reference Model

GTRS

Geo Tile Reference System

IEC

International Electrotechnical Commission

IGN

Institut Géographique National (France)

ISO

International Organization for Standardization

JTC

Joint Technical Committee

MODTRAN

Moderate resolution Transmittance (atmospheric radiation transfer)

MP

Map Projection

N

North

NTF

Nouvelle Triangulation Français (France)

OBRS

Object Binding Rule Set

ORM

Object Reference Model

ORMT

Object Reference Model Template

RD

Reference Datum

RT

Reference Transformation

S

South

SI

Système International d'unités (International System of Units)

SRF

Spatial Reference Frame

SRFS

Spatial Reference Frame Set

SRFT

Spatial Reference Frame Template

SRM

Spatial Reference Model

SSM

SRF Set Member

TAI

Temps Atomique International (International Atomic Time)

UK

United Kingdom

US

United States

UTC

Coordinated Universal Time

W

West

WGS

World Geodetic System



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