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Great Circles, Geodesics, and Rhumb Lines

Find the shortest path between two points; find the curve that crosses each meridian at the same angle

Functions

azimuthAzimuth between points on sphere or ellipsoid
departureDeparture of longitudes at specified latitudes
distanceDistance between points on sphere or ellipsoid
gc2scCenter and radius of great circle
gcxgcIntersection points for pairs of great circles
gcxscIntersection points for great and small circle pairs
meridianarcEllipsoidal distance along meridian
meridianfwdReckon position along meridian
reckonPoint at specified azimuth, range on sphere or ellipsoid
rhxrhIntersection points for pairs of rhumb lines
track1Geographic tracks from starting point, azimuth, and range
track2Geographic tracks from starting and ending points
trackgGreat circle or rhumb line defined via mouse input
trackuiGUI to display great circles and rhumb lines on map axes

Examples and How To

Calculate Intersection of Rhumb Line Tracks

This example shows how to calculate the intersection of rhumb lines using the rhxrh function.

Calculate Intersections of Arbitrary Vector Data

This example shows how to calculate the intersections of arbitrary vector data, such as polylines or polygons, using the polyxpoly function.

Calculate Distance Between Two Points in Geographic Space

Distance and azimuth are calculated from the position of two points in geometric space.

Calculate Azimuth and Elevation

Azimuth is the angle a line makes with a meridian, taken clockwise from north.

Concepts

Great Circles

A great circle defines the shortest path between two points along the surface of a sphere.

Rhumb Lines

A rhumb line is a curve that crosses each meridian at the same angle.

About Azimuths

Azimuth is the angle a line makes with a meridian, measured clockwise from north.

Positions, Azimuths, Headings, Distances, Length, and Ranges

Several angular and linear quantities express the distance between two points on a sphere.

Determine Destination Given Starting Point, Initial Azimuth, and Distance

Reckoning is the determination of a destination given a starting point, an initial azimuth, and a distance.

Calculate Distance Between Two Points in Geographic Space

Distance and azimuth are calculated from the position of two points in geometric space.

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