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Wolfram Language & System Documentation Center
GeoDestination
  • See Also
    • GeoDistance
    • GeoDirection
    • GeoDisplacement
    • GeoPosition
    • GeodesyData
    • GeoVector
    • GeoGridUnitDistance
    • GeoGridDirectionDifference
    • GeoGraphics
    • GeoPath
    • GeoCircle
    • Entity
    • AngleVector
  • Related Guides
    • Geodesy
    • Locations, Paths, and Routing
    • Angles and Polar Coordinates
    • See Also
      • GeoDistance
      • GeoDirection
      • GeoDisplacement
      • GeoPosition
      • GeodesyData
      • GeoVector
      • GeoGridUnitDistance
      • GeoGridDirectionDifference
      • GeoGraphics
      • GeoPath
      • GeoCircle
      • Entity
      • AngleVector
    • Related Guides
      • Geodesy
      • Locations, Paths, and Routing
      • Angles and Polar Coordinates

GeoDestination[loc,{d,α}]

gives the end position of the geodesic of length d starting from loc with azimuthal direction α.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Properties & Relations  
Neat Examples  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • GeoDistance
    • GeoDirection
    • GeoDisplacement
    • GeoPosition
    • GeodesyData
    • GeoVector
    • GeoGridUnitDistance
    • GeoGridDirectionDifference
    • GeoGraphics
    • GeoPath
    • GeoCircle
    • Entity
    • AngleVector
  • Related Guides
    • Geodesy
    • Locations, Paths, and Routing
    • Angles and Polar Coordinates
    • See Also
      • GeoDistance
      • GeoDirection
      • GeoDisplacement
      • GeoPosition
      • GeodesyData
      • GeoVector
      • GeoGridUnitDistance
      • GeoGridDirectionDifference
      • GeoGraphics
      • GeoPath
      • GeoCircle
      • Entity
      • AngleVector
    • Related Guides
      • Geodesy
      • Locations, Paths, and Routing
      • Angles and Polar Coordinates

GeoDestination

GeoDestination[loc,{d,α}]

gives the end position of the geodesic of length d starting from loc with azimuthal direction α.

Details

  • The location loc in GeoDestination[loc,…] can be specified as {lat,lon} coordinates, as a GeoPosition, GeoPositionXYZ, GeoPositionENU, or GeoGridPosition object, or as a geographical entity Entity[…].
  • The distance d can be given as a Quantity length or as a number in meters.
  • The bearing or azimuthal direction α is an angle measured clockwise from true north. It can be given as a Quantity angle or as a number in degrees.
  • GeoDestination[loc,{{d1,d2,…},α}] returns the list of positions at distances di along the geodesic starting from loc with bearing α.
  • GeoDestination[loc,{d,{α1,α2,…}}] returns the list of points at distance d along the geodesics starting from loc with bearings αi.
  • GeoDestination[loc,{d,α}] can also be written as GeoDestination[loc,GeoDisplacement[{d,α}]].
  • Use GeoDestination[loc,GeoDisplacement[{d,α},"Rhumb"]] to find the endpoint along a path of length d and constant bearing α.
  • GeoDestination[{lat,lon},…] gives the latitude-longitude destination for the default reference ellipsoid.
  • GeoDestination[loc,…] finds the destination on the reference ellipsoid associated with the datum for loc. Heights are ignored.
  • GeoDestination solves the geodetic direct or forward problem.

Examples

open all close all

Basic Examples  (2)

Compute the position reached by moving 100 kilometers north from a starting position:

Move 4000 kilometers along a geodesic with initial bearing 105 degrees:

Plot the geodesic path:

Scope  (9)

Specify the initial position as a {lat,lon} pair in degrees:

GeoDestination preserves the type of geodetic position:

Transform to GeoPositionXYZ:

Transform to GeoGridPosition. The destination is returned in the same projection:

Transform to GeoPositionENU. The destination is given with respect to the same ENU origin:

Use DMS strings to specify the original position or the path to follow:

Use a compass point specification of the initial bearing:

Find destination along a geodesic:

Find destination along a line of constant bearing:

Height and time information is returned unmodified:

Computations are performed using the specified datum:

Differences are small, in this case under 1 arc second:

Specify a list of distances to obtain a list of points along the same geodesic:

Specify a list of bearings to obtain a list of points on a geodesic circle:

Specify both a list of distances and a list of bearings. The result is a matrix of points:

Properties & Relations  (4)

The inverse of GeoDestination is GeoDisplacement:

It can also be obtained as a combination of GeoDistance and GeoDirection:

Compute multiple points along the same geodesic:

Compute points on a geodesic circle of 2000 kilometers around Stockholm:

Compare with the corresponding GeoCircle:

Compute consecutive destination points, all moving 1000 kilometers:

Due to the Earth surface's curvature, the path does not close:

Neat Examples  (1)

Points 20000 kilometers from geo position {0,0} in all directions:

Plot in 3D space:

See Also

GeoDistance  GeoDirection  GeoDisplacement  GeoPosition  GeodesyData  GeoVector  GeoGridUnitDistance  GeoGridDirectionDifference  GeoGraphics  GeoPath  GeoCircle  Entity  AngleVector

Related Guides

    ▪
  • Geodesy
  • ▪
  • Locations, Paths, and Routing
  • ▪
  • Angles and Polar Coordinates

History

Introduced in 2008 (7.0) | Updated in 2014 (10.0)

Wolfram Research (2008), GeoDestination, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoDestination.html (updated 2014).

Text

Wolfram Research (2008), GeoDestination, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoDestination.html (updated 2014).

CMS

Wolfram Language. 2008. "GeoDestination." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/GeoDestination.html.

APA

Wolfram Language. (2008). GeoDestination. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoDestination.html

BibTeX

@misc{reference.wolfram_2025_geodestination, author="Wolfram Research", title="{GeoDestination}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/GeoDestination.html}", note=[Accessed: 01-March-2026]}

BibLaTeX

@online{reference.wolfram_2025_geodestination, organization={Wolfram Research}, title={GeoDestination}, year={2014}, url={https://reference.wolfram.com/language/ref/GeoDestination.html}, note=[Accessed: 01-March-2026]}

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