# Great Circles, Geodesics, and Rhumb Lines

Find shortest path between two points, find curve that crosses meridians at same angle

A great circle is the shortest path between two points along the surface of a sphere, a geodesic is the shortest path between two points on a curved surface, and a rhumb line is a curve that crosses each meridian at the same angle. Use these functions to:

• Find distances and azimuths along great circle, geodesic, and rhumb line tracks.

• Find the coordinates of reckon points and antipodes.

• Find the coordinates of track points along great circle, geodesic, and rhumb line tracks.

• Find the intersection points of great circles, geodesics, and rhumb lines.

## Functions

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 `distance` Distance between points on sphere or ellipsoid `azimuth` Azimuth between points on sphere or ellipsoid `departure` Departure of longitudes at specified latitudes `meridianarc` Ellipsoidal distance along meridian
 `reckon` Point at specified azimuth and range on sphere or ellipsoid `antipode` Point on opposite side of globe `meridianfwd` Reckon position along meridian
 `track` Geographic track points from waypoints `track1` Geographic track points from starting point, azimuth, and range `track2` Geographic track points from starting and ending points `trackg` Display great circle or rhumb line on `axesm`-based map using mouse
 `gcxgc` Intersection points for pairs of great circles `gcxsc` Intersection points for great and small circle pairs `rhxrh` Intersection points for pairs of rhumb lines