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Formulary of basic geodesy functions and approximations.
Version: 20.04.11
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Variables | |
__all__ = _ALL_LAZY.formy
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Function Details |
Return the antipode, the point diametrically opposite to a given point
in
See Also: Geosphere. |
Return the antipode, the point diametrically opposite to a given point
in
See Also: Geosphere. |
Compute the initial or final bearing (forward or reverse azimuth) between a (spherical) start and end point.
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Compute the initial or final bearing (forward or reverse azimuth) between a (spherical) start and end point.
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Return the angle from North for the direction vector (lon2 - lon1, lat2 - lat1) between two points. Suitable only for short, non-near-polar vectors up to a few hundred Km or Miles. Use function bearing for longer vectors.
Note: Courtesy Martin Schultz. See Also: Local, flat earth approximation. |
Compute the distance between two points using the spherical Law of Cosines fromula.
See Also: Functions cosineLaw_, equirectangular, euclidean, flatLocal, flatPolar, haversine, vincentys and method Ellipsoid.distance2. Note: See note at function vincentys_. |
Compute the angular distance between two points using the spherical Law of Cosines fromula.
See Also: Functions cosineLaw, equirectangular_, euclidean_, flatLocal_, flatPolar_, haversine_ and vincentys_. Note: See note at function vincentys_. |
Compute the distance between two points using the Equirectangular Approximation / Projection.
See Also:
Function equirectangular_ for more details, the available
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Compute the distance between two points using the Equirectangular Approximation / Projection. This approximation is valid for short distance of several hundred Km
or Miles, see the
See Also:
Local, flat earth approximation, functions equirectangular, cosineLaw, euclidean, flatLocal, flatPolar, haversine, vincentys and methods Ellipsoid.distance2,
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Approximate the
See Also:
Distance between two (spherical) points,
functions euclidean_, cosineLaw, equirectangular, flatLocal, flatPolar, haversine, vincentys and methods Ellipsoid.distance2,
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Approximate the angular
See Also: Functions euclidean, cosineLaw_, equirectangular_, flatLocal_, flatPolar_, haversine_ and vincentys_. |
Compute the distance between two (ellipsoidal) points using the ellipsoidal Earth to plane projection fromula.
Note: The meridional and prime_vertical radii of curvature are taken and scaled at the mean latitude. See Also: Functions flatLocal_, cosineLaw, flatPolar, equirectangular, euclidean, haversine, vincentys, method Ellipsoid.distance2 and local, flat earth approximation. |
Compute the distance between two (ellipsoidal) points using the ellipsoidal Earth to plane projection fromula.
Note: The meridional and prime_vertical radii of curvature are taken and scaled at the mean latitude. See Also: Functions flatLocal, cosineLaw_, flatPolar_, equirectangular_, euclidean_, haversine_ and vincentys_ and local, flat earth approximation. |
Compute the distance between two (spherical) points using the polar coordinate flat-Earth formula.
See Also: Functions flatPolar_, cosineLaw, flatLocal, equirectangular, euclidean, haversine and vincentys. |
Compute the angular distance between two (spherical) points using the polar coordinate flat-Earth formula.
See Also: Functions flatPolar, cosineLaw_, equirectangular_, euclidean_, flatLocal_, haversine_ and vincentys_. |
Compute the distance between two (spherical) points using the Haversine formula.
See Also:
Distance between two (spherical) points,
functions cosineLaw, equirectangular, euclidean, flatLocal, flatPolar, vincentys and methods Ellipsoid.distance2,
Note: See note at function vincentys_. |
Compute the angular distance between two (spherical) points using the Haversine formula.
See Also: Functions haversine, cosineLaw_, equirectangular_, euclidean_, flatLocal_, flatPolar_ and vincentys_. Note: See note at function vincentys_. |
Determine the height above the (spherical) earth after traveling along a straight line at a given tilt.
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Determine the distance to the horizon from a given altitude above the (spherical) earth.
See Also: Distance to horizon. |
Check whether two points are antipodal, on diametrically opposite sides of the earth.
See Also: Geosphere. |
Check whether two points are antipodal, on diametrically opposite sides of the earth.
See Also: Geosphere. |
Convert lat-, longitude to
See Also: Function philam2n_xyz. Note:
These are |
Convert
See Also: Function n_xyz2philam. |
Convert
See Also: Function n_xyz2latlon. |
Convert lat-, longitude to
See Also: Function latlon2n_xyz. Note:
These are |
Check a path or polygon represented by points.
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Compute the distance between two (spherical) points using Vincenty's spherical formula.
See Also:
Functions vincentys_, cosineLaw, equirectangular, euclidean, flatLocal, flatPolar, haversine and methods Ellipsoid.distance2,
Note: See note at function vincentys_. |
Compute the angular distance between two (spherical) points using Vincenty's spherical formula.
See Also: Functions vincentys, cosineLaw_, equirectangular_, euclidean_, flatLocal_, flatPolar_ and haversine_. Note: Functions vincentys_, haversine_ and cosineLaw_ produce equivalent results, but vincentys_ is suitable for antipodal points but slightly more expensive (3 cos, 3 sin, 1 hypot, 1 atan2, 6 mul, 2 add) than haversine_ (2 cos, 2 sin, 2 sqrt, 1 atan2, 5 mul, 1 add) and cosineLaw_ (3 cos, 3 sin, 1 acos, 3 mul, 1 add). |
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