Ellipsoid

Description

[ShutdownSurvive]
sealed class Tinman.Terrain.Georef.Ellipsoid

Derived from: GeoObject ^abstract

Describes an ellipsoid.

See also: GeoRegistry

Public / Constants

Airy_1830

public static readonly attribute Airy_1830 → (Ellipsoid)

Airy 1830

Semi major axis: 6377563.396 (Metre)
Inv. flattening: 299.3249646
Semi minor axis: 6356256.909237285 (Metre)

Airy_Modified_1849

public static readonly attribute Airy_Modified_1849 → (Ellipsoid)

Airy Modified 1849

Semi major axis: 6377340.189 (Metre)
Inv. flattening: 299.3249646
Semi minor axis: 6356034.447938534 (Metre)

Australian_National_Spheroid

public static readonly attribute Australian_National_Spheroid → (Ellipsoid)

Australian National Spheroid

Semi major axis: 6378160 (Metre)
Inv. flattening: 298.25
Semi minor axis: 6356774.719195305 (Metre)

Average_Terrestrial_System_1977

public static readonly attribute Average_Terrestrial_System_1977 → (Ellipsoid)

Average Terrestrial System 1977

Semi major axis: 6378135 (Metre)
Inv. flattening: 298.257
Semi minor axis: 6356750.304921594 (Metre)

Bessel_1841

public static readonly attribute Bessel_1841 → (Ellipsoid)

Bessel 1841

Semi major axis: 6377397.155 (Metre)
Inv. flattening: 299.1528128
Semi minor axis: 6356078.962818189 (Metre)

Bessel_Modified

public static readonly attribute Bessel_Modified → (Ellipsoid)

Bessel Modified

Semi major axis: 6377492.018 (Metre)
Inv. flattening: 299.1528128
Semi minor axis: 6356173.508712696 (Metre)

CGCS2000

public static readonly attribute CGCS2000 → (Ellipsoid)

CGCS2000

Semi major axis: 6378137 (Metre)
Inv. flattening: 298.257222101
Semi minor axis: 6356752.314140356 (Metre)

Clarke_1866

public static readonly attribute Clarke_1866 → (Ellipsoid)

Clarke 1866

Semi major axis: 6378206.4 (Metre)
Inv. flattening: 294.9786982138982
Semi minor axis: 6356583.8 (Metre)

Clarke_1866_Authalic_Sphere

public static readonly attribute Clarke_1866_Authalic_Sphere → (Ellipsoid)

Clarke 1866 Authalic Sphere

Semi major axis: 6370997 (Metre)

Clarke_1880_Arc

public static readonly attribute Clarke_1880_Arc → (Ellipsoid)

Clarke 1880 (Arc)

Semi major axis: 6378249.145 (Metre)
Inv. flattening: 293.4663077
Semi minor axis: 6356514.966398753 (Metre)

Clarke_1880_Benoit

public static readonly attribute Clarke_1880_Benoit → (Ellipsoid)

Clarke 1880 (Benoit)

Semi major axis: 6378300.789 (Metre)
Inv. flattening: 293.4663155389811
Semi minor axis: 6356566.435 (Metre)

Clarke_1880_IGN

public static readonly attribute Clarke_1880_IGN → (Ellipsoid)

Clarke 1880 (IGN)

Semi major axis: 6378249.2 (Metre)
Inv. flattening: 293.4660212936269
Semi minor axis: 6356515 (Metre)

Clarke_1880_international_foot

public static readonly attribute Clarke_1880_international_foot → (Ellipsoid)

Clarke 1880 (international foot)

Semi major axis: 20926202 (Foot)
Inv. flattening: 293.46630765562986
Semi minor axis: 20854895 (Foot)

Clarke_1880_RGS

public static readonly attribute Clarke_1880_RGS → (Ellipsoid)

Clarke 1880 (RGS)

Semi major axis: 6378249.145 (Metre)
Inv. flattening: 293.465
Semi minor axis: 6356514.8695497755 (Metre)

Clarke_1880_SGA_1922

public static readonly attribute Clarke_1880_SGA_1922 → (Ellipsoid)

Clarke 1880 (SGA 1922)

Semi major axis: 6378249.2 (Metre)
Inv. flattening: 293.46598
Semi minor axis: 6356514.996941779 (Metre)

Danish_1876

public static readonly attribute Danish_1876 → (Ellipsoid)

Danish 1876

Semi major axis: 6377019.27 (Metre)
Inv. flattening: 300
Semi minor axis: 6355762.5391 (Metre)

Everest_1830_1937_Adjustment

public static readonly attribute Everest_1830_1937_Adjustment → (Ellipsoid)

Everest 1830 (1937 Adjustment)

Semi major axis: 6377276.345 (Metre)
Inv. flattening: 300.8017
Semi minor axis: 6356075.41314024 (Metre)

Everest_1830_1962_Definition

public static readonly attribute Everest_1830_1962_Definition → (Ellipsoid)

Everest 1830 (1962 Definition)

Semi major axis: 6377301.243 (Metre)
Inv. flattening: 300.8017255
Semi minor axis: 6356100.230165384 (Metre)

Everest_1830_1967_Definition

public static readonly attribute Everest_1830_1967_Definition → (Ellipsoid)

Everest 1830 (1967 Definition)

Semi major axis: 6377298.556 (Metre)
Inv. flattening: 300.8017
Semi minor axis: 6356097.550300896 (Metre)

Everest_1830_1975_Definition

public static readonly attribute Everest_1830_1975_Definition → (Ellipsoid)

Everest 1830 (1975 Definition)

Semi major axis: 6377299.151 (Metre)
Inv. flattening: 300.8017255
Semi minor axis: 6356098.145120132 (Metre)

Everest_1830_Modified

public static readonly attribute Everest_1830_Modified → (Ellipsoid)

Everest 1830 Modified

Semi major axis: 6377304.063 (Metre)
Inv. flattening: 300.8017
Semi minor axis: 6356103.038993155 (Metre)

Everest_1830_RSO_1969

public static readonly attribute Everest_1830_RSO_1969 → (Ellipsoid)

Everest 1830 (RSO 1969)

Semi major axis: 6377295.664 (Metre)
Inv. flattening: 300.8017
Semi minor axis: 6356094.667915204 (Metre)

GEM_10C

public static readonly attribute GEM_10C → (Ellipsoid)

GEM 10C

Semi major axis: 6378137 (Metre)
Inv. flattening: 298.257223563
Semi minor axis: 6356752.314245179 (Metre)

GRS_1967

public static readonly attribute GRS_1967 → (Ellipsoid)

GRS 1967

Semi major axis: 6378160 (Metre)
Inv. flattening: 298.247167427
Semi minor axis: 6356774.516090714 (Metre)

GRS_1967_Modified

public static readonly attribute GRS_1967_Modified → (Ellipsoid)

GRS 1967 Modified

Semi major axis: 6378160 (Metre)
Inv. flattening: 298.25
Semi minor axis: 6356774.719195305 (Metre)

GRS_1980

public static readonly attribute GRS_1980 → (Ellipsoid)

GRS 1980

Semi major axis: 6378137 (Metre)
Inv. flattening: 298.257222101
Semi minor axis: 6356752.314140356 (Metre)

GRS_1980_Authalic_Sphere

public static readonly attribute GRS_1980_Authalic_Sphere → (Ellipsoid)

GRS 1980 Authalic Sphere

Semi major axis: 6371007 (Metre)

GSK_2011

public static readonly attribute GSK_2011 → (Ellipsoid)

GSK-2011

Semi major axis: 6378136.5 (Metre)
Inv. flattening: 298.2564151
Semi minor axis: 6356751.757955603 (Metre)

Helmert_1906

public static readonly attribute Helmert_1906 → (Ellipsoid)

Helmert 1906

Semi major axis: 6378200 (Metre)
Inv. flattening: 298.3
Semi minor axis: 6356818.169627891 (Metre)

Hough_1960

public static readonly attribute Hough_1960 → (Ellipsoid)

Hough 1960

Semi major axis: 6378270 (Metre)
Inv. flattening: 297
Semi minor axis: 6356794.343434343 (Metre)

Hughes_1980

public static readonly attribute Hughes_1980 → (Ellipsoid)

Hughes 1980

Semi major axis: 6378273 (Metre)
Inv. flattening: 298.279411123064
Semi minor axis: 6356889.449 (Metre)

IAG_1975

public static readonly attribute IAG_1975 → (Ellipsoid)

IAG 1975

Semi major axis: 6378140 (Metre)
Inv. flattening: 298.257
Semi minor axis: 6356755.288157528 (Metre)

Indonesian_National_Spheroid

public static readonly attribute Indonesian_National_Spheroid → (Ellipsoid)

Indonesian National Spheroid

Semi major axis: 6378160 (Metre)
Inv. flattening: 298.247
Semi minor axis: 6356774.50408554 (Metre)

International_1924

public static readonly attribute International_1924 → (Ellipsoid)

International 1924

Semi major axis: 6378388 (Metre)
Inv. flattening: 297
Semi minor axis: 6356911.9461279465 (Metre)

International_1924_Authalic_Sphere

public static readonly attribute International_1924_Authalic_Sphere → (Ellipsoid)

International 1924 Authalic Sphere

Semi major axis: 6371228 (Metre)

Krassowsky_1940

public static readonly attribute Krassowsky_1940 → (Ellipsoid)

Krassowsky 1940

Semi major axis: 6378245 (Metre)
Inv. flattening: 298.3
Semi minor axis: 6356863.018773047 (Metre)

NWL_9D

public static readonly attribute NWL_9D → (Ellipsoid)

NWL 9D

Semi major axis: 6378145 (Metre)
Inv. flattening: 298.25
Semi minor axis: 6356759.769488684 (Metre)

OSU86F

public static readonly attribute OSU86F → (Ellipsoid)

OSU86F

Semi major axis: 6378136.2 (Metre)
Inv. flattening: 298.257223563
Semi minor axis: 6356751.516927429 (Metre)

OSU91A

public static readonly attribute OSU91A → (Ellipsoid)

OSU91A

Semi major axis: 6378136.3 (Metre)
Inv. flattening: 298.257223563
Semi minor axis: 6356751.616592146 (Metre)

Plessis_1817

public static readonly attribute Plessis_1817 → (Ellipsoid)

Plessis 1817

Semi major axis: 6376523 (Metre)
Inv. flattening: 308.64
Semi minor axis: 6355862.933255573 (Metre)

PZ_90

public static readonly attribute PZ_90 → (Ellipsoid)

PZ-90

Semi major axis: 6378136 (Metre)
Inv. flattening: 298.257839303
Semi minor axis: 6356751.361745712 (Metre)

Struve_1860

public static readonly attribute Struve_1860 → (Ellipsoid)

Struve 1860

Semi major axis: 6378298.3 (Metre)
Inv. flattening: 294.73
Semi minor axis: 6356657.142669561 (Metre)

War_Office

public static readonly attribute War_Office → (Ellipsoid)

War Office

Semi major axis: 6378300 (Metre)
Inv. flattening: 296
Semi minor axis: 6356751.689189189 (Metre)

WGS_72

public static readonly attribute WGS_72 → (Ellipsoid)

WGS 72

Semi major axis: 6378135 (Metre)
Inv. flattening: 298.26
Semi minor axis: 6356750.520016094 (Metre)

WGS_84

public static readonly attribute WGS_84 → (Ellipsoid)

WGS 84

Semi major axis: 6378137 (Metre)
Inv. flattening: 298.257223563
Semi minor axis: 6356752.314245179 (Metre)

Zach_1812

public static readonly attribute Zach_1812 → (Ellipsoid)

Zach 1812

Semi major axis: 6376045 (Metre)
Inv. flattening: 310
Semi minor axis: 6355477.112903226 (Metre)

Public / Constructors

Ellipsoid

public constructor Ellipsoid → (5)

semiMajorAxis ⁱⁿ : float64: [>0]
The semi major axis (a).
semiMinorAxis ^opt : float64 = 0: The semi minor axis (b) or 0.
inverseFlattening ^opt : float64 = 0: The inverse flattening (1/f) or 0.
unit ^opt : UnitOfMeasure = null: The unit of measure to use. If null, UnitOfMeasure.Metre will be used.
name ^opt : string = null: Human-readable name of the geo object. If empty or null, GeoObject.UserDefined will be used instead.

Creates a new instance of Ellipsoid.

Public / Methods

GeographicScale

[Pure]
public method GeographicScale → (1)

unit ^opt : UnitOfMeasure = null: The geographic unit or null for UnitOfMeasure.Radian.
returns → float64: The approximate scale factor to use for converting coordinates in the geographic unit to coordinates in the metric unit of the ellipsoid.

Returns the approximate scale factor from the given geographic unit ^opt to the metric unit of the ellipsoid.

The returned scale factor has the highest precision at the equator.

See also: CoordinateSystem.GeographicScale

RadiusOfConformalSphere

[Pure]
public method RadiusOfConformalSphere → (1)

phi ⁱⁿ : float64: The latitude angle, in radians.
returns → float64: Radius of conformal sphere.

Radius of conformal sphere: RC

This is a function of latitude and therefore not constant. When used for spherical projections the use of CoordinateOperationParameter.Latitude (or CoordinateOperationParameter.Parallel1 as relevant to method) for phi ⁱⁿ is suggested, except if the projection is equal area when RadiusOfAuthalicSphere should be used.

RadiusOfCurvatureInTheMeridian

[Pure]
public method RadiusOfCurvatureInTheMeridian → (1)

phi ⁱⁿ : float64: The latitude angle, in radians.
returns → float64: Radius of curvature in the meridian.

Radius of curvature in the meridian: rho

Radius of curvature of the ellipsoid in the plane of the meridian at latitude phi ⁱⁿ.

RadiusOfCurvatureInThePrimeVertical

[Pure]
public method RadiusOfCurvatureInThePrimeVertical → (1)

phi ⁱⁿ : float64: The latitude angle, in radians.
returns → float64: Radius of curvature in the prime vertical.

Radius of curvature in the prime vertical: nu.

Radius of curvature of the ellipsoid perpendicular to the meridian at latitude phi ⁱⁿ.

ToUnit

[Pure]
public method ToUnit → (1)

unit ⁱⁿ : UnitOfMeasure: [not-null]
The length unit to convert to.
returns → Ellipsoid: The resulting ellipsoid.

Converts the length unit of this ellipsoid.

Public / Attributes

Eccentricity

[Constant]
public attribute Eccentricity → (get)

value : float64: The value of e.

Eccentricity: e

Equal to sqrt(2 * abs(f) - sqr(f))

EccentricitySqr

[Constant]
public attribute EccentricitySqr → (get)

value : float64: The value of e^2.

Squared eccentricity: e^2

Equal to 2 * abs(f) - sqr(f)

FaceBounds

[Constant]
public attribute FaceBounds → (get)

value : Box2D: The map bounds.

Returns the map bounds of CoordinateOperationMethod.Face for this ellipsoid.

Flattening

[Constant]
public attribute Flattening → (get)

value : float64: The value of f:
> 0 : oblate
< 0 : prolate
= 0 : sphere

Flattening: f

Equal to (a - b) / a. Defaults to 0 (i.e. a sphere).

HasInverseFlattening

[Constant]
public attribute HasInverseFlattening → (get)

value : bool: true if InverseFlattening has been specified by value,
false if it is computed.

Has the inverse flattening been specified for this ellipsoid?

HasSemiMinorAxis

[Constant]
public attribute HasSemiMinorAxis → (get)

value : bool: true if SemiMinorAxis has been specified by value,
false if it is computed.

Has the semi minor axis been specified for this ellipsoid?

InverseFlattening

[Constant]
public attribute InverseFlattening → (get)

value : float64: The value of 1/f.

The inverse flattening (1/f) or 0 if flattening is zero.

IsSphere

[Constant]
public attribute IsSphere → (get)

value : bool: true if the ellipsoid is a sphere, false if not.

Does this parameter bag define an ellipsoid that is actually a sphere?

RadiusOfAuthalicSphere

[Constant]
public attribute RadiusOfAuthalicSphere → (get)

value : float64: Radius of authalic sphere.

Radius of authalic sphere: RA

Radius of sphere having same surface area as ellipsoid.

Equal to a * sqrt((1 - ((1 - sqr(e)) / (2 * e)) * (ln((1 - e) / (1 + e)))) * 0.5))

SecondEccentricity

[Constant]
public attribute SecondEccentricity → (get)

value : float64: The value of e'

Second eccentricity: e'

Equal to = sqrt(sqr(e) / (1 - sqr(e)))

SemiMajorAxis

[Constant]
public attribute SemiMajorAxis → (get)

value : float64: The value of a

The semi-major axis: b

SemiMinorAxis

[Constant]
public attribute SemiMinorAxis → (get)

value : float64: The value of b

The semi-minor axis: b

Unit

[Constant]
public attribute Unit → (get)

value : UnitOfMeasure: [not-null]
The unit of measure.

The unit of the ellipsoid semi axes.

Configuration

Config

public static attribute Config → (get)

value : IConfigurator<Ellipsoid>: [not-null]
The configurator object.

The configurator object for this type.

Serialization

SerialId

public static readonly attribute SerialId → (ISerialTypeInfo)

Serialization information about this type.

Ellipsoid

Description

Public / Constants

Airy_1830

Airy_​Modified_1849

Australian_​National_​Spheroid

Average_​Terrestrial_​System_1977

Bessel_1841

Bessel_​Modified

CGCS2000

Clarke_1866

Clarke_1866_​Authalic_​Sphere

Clarke_1880_​Arc

Clarke_1880_​Benoit

Clarke_1880_​IGN

Clarke_1880_international_foot

Clarke_1880_​RGS

Clarke_1880_​SGA_1922

Danish_1876

Everest_1830_1937_​Adjustment

Everest_1830_1962_​Definition

Everest_1830_1967_​Definition

Everest_1830_1975_​Definition

Everest_1830_​Modified

Everest_1830_​RSO_1969

GEM_10​C

GRS_1967

GRS_1967_​Modified

GRS_1980

GRS_1980_​Authalic_​Sphere

GSK_2011

Helmert_1906

Hough_1960

Hughes_1980

IAG_1975

Indonesian_​National_​Spheroid

International_1924

International_1924_​Authalic_​Sphere

Krassowsky_1940

NWL_9​D

OSU86​F

OSU91​A

Plessis_1817

PZ_90

Struve_1860

War_​Office

WGS_72

WGS_84

Zach_1812

Public / Constructors

Ellipsoid

Public / Methods

Geographic​Scale

Radius​Of​Conformal​Sphere

Radius​Of​Curvature​In​The​Meridian

Radius​Of​Curvature​In​The​Prime​Vertical

To​Unit

Public / Attributes

Eccentricity

Eccentricity​Sqr

Face​Bounds

Flattening

Has​Inverse​Flattening

Has​Semi​Minor​Axis

Inverse​Flattening

Is​Sphere

Radius​Of​Authalic​Sphere

Second​Eccentricity

Semi​Major​Axis

Semi​Minor​Axis

Unit

Configuration

Config

Serialization

Serial​Id

Airy_Modified_1849

Australian_National_Spheroid

Average_Terrestrial_System_1977

Bessel_Modified

Clarke_1866_Authalic_Sphere

Clarke_1880_Arc

Clarke_1880_Benoit

Clarke_1880_IGN

Clarke_1880_RGS

Clarke_1880_SGA_1922

Everest_1830_1937_Adjustment

Everest_1830_1962_Definition

Everest_1830_1967_Definition

Everest_1830_1975_Definition

Everest_1830_Modified

Everest_1830_RSO_1969

GEM_10C

GRS_1967_Modified

GRS_1980_Authalic_Sphere

Indonesian_National_Spheroid

International_1924_Authalic_Sphere

NWL_9D

OSU86F

OSU91A

War_Office

GeographicScale

RadiusOfConformalSphere

RadiusOfCurvatureInTheMeridian

RadiusOfCurvatureInThePrimeVertical

ToUnit

EccentricitySqr

FaceBounds

HasInverseFlattening

HasSemiMinorAxis

InverseFlattening

IsSphere

RadiusOfAuthalicSphere

SecondEccentricity

SemiMajorAxis

SemiMinorAxis

SerialId