Package pygeodesy :: Module ecef :: Class EcefKarney |
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# Class EcefKarney

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               _EcefBase --+
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                          EcefKarney

Conversion between geodetic and geocentric, aka Earth-Centered, Earth-Fixed (ECEF) coordinates based on Karney's Geocentric methods.

Instance Methods
__init__(self, a_ellipsoid, f=None, name='') New EcefKarney converter. |
forward(self, latlonh, lon=None, height=0, M=False, name='') Convert from geodetic `(lat, lon, height)` to geocentric `(x, y, z)`. |
reverse(self, xyz, y=None, z=None, M=False, name='') Convert from geocentric `(x, y, z)` to geodetic `(lat, lon, height)`. |
Inherited from `_EcefBase`: `toStr` Inherited from `named._NamedBase`: `__repr__`, `__str__`, `others`, `toRepr` Inherited from `named._Named`: `_DOT_`, `attrs`, `classof`, `copy`, `rename`, `toStr2` Inherited from `object`: `__delattr__`, `__format__`, `__getattribute__`, `__hash__`, `__new__`, `__reduce__`, `__reduce_ex__`, `__setattr__`, `__sizeof__`, `__subclasshook__`

Properties
| hmax Get the distance limit (`float`).
Inherited from `_EcefBase`: `a`, `datum`, `ellipsoid`, `equatoradius`, `equatorialRadius`, `f`, `flattening` Inherited from `named._Named`: `classname`, `classnaming`, `name`, `named`, `named2`, `named3`, `named4` Inherited from `object`: `__class__`

Method Details

### __init__ (self, a_ellipsoid, f=None, name='') (Constructor) |
New EcefKarney converter. Arguments: `a_ellipsoid` - A (non-prolate) ellipsoid (Ellipsoid, Ellipsoid2, Datum or a_f2Tuple) or `scalar` ellipsoid's equatorial radius (`meter`). `f` - `None` or the ellipsoid flattening (`scalar`), required for `scalar` `a_ellipsoid`, `f=0` represents a sphere, negative `f` a prolate ellipsoid. `name` - Optional name (`str`). Raises: `EcefError` - If `a_ellipsoid` not Ellipsoid, Ellipsoid2, Datum or a_f2Tuple or `scalar` or `f` not `scalar` or if `scalar` `a_ellipsoid` not positive or `f` not less than 1.0. Overrides: object.__init__

### forward (self, latlonh, lon=None, height=0, M=False, name='') |
Convert from geodetic `(lat, lon, height)` to geocentric `(x, y, z)`. Arguments: `latlonh` - Either a `LatLon`, an Ecef9Tuple or `scalar` latitude (`degrees`). `lon` - Optional `scalar` longitude for `scalar` `latlonh` (`degrees`). `height` - Optional height (`meter`), vertically above (or below) the surface of the ellipsoid. `M` - Optionally, return the rotation EcefMatrix (`bool`). `name` - Optional name (`str`). Returns: An Ecef9Tuple`(x, y, z, lat, lon, height, C, M, datum)` with geocentric `(x, y, z)` coordinates for the given geodetic ones `(lat, lon, height)`, case `C` 0, optional `M` (EcefMatrix) and `datum` if available. Raises: `EcefError` - If `latlonh` not `LatLon`, Ecef9Tuple or `scalar` or `lon` not `scalar` for `scalar` `latlonh` or `abs(lat)` exceeds 90°. Overrides: _EcefBase.forward Note: Let `v` be a unit vector located at `(lat, lon, h)`. We can express `v` as column vectors in one of two ways, `v1` in east, north, up coordinates (where the components are relative to a local coordinate system at `C(lat0, lon0, h0)`) or as `v0` in geocentric `x, y, z` coordinates. Then, v0 = M ⋅ v1 where `M` is the rotation matrix.

### reverse (self, xyz, y=None, z=None, M=False, name='') |
Convert from geocentric `(x, y, z)` to geodetic `(lat, lon, height)`. Arguments: `xyz` - A geocentric (`Cartesian`, Ecef9Tuple) or `scalar` ECEF `x` coordinate (`meter`). `y` - ECEF `y` coordinate for `scalar` `xyz` and `z` (`meter`). `z` - ECEF `z` coordinate for `scalar` `xyz` and `y` (`meter`). `M` - Optionally, return the rotation EcefMatrix (`bool`). `name` - Optional name (`str`). Returns: An Ecef9Tuple`(x, y, z, lat, lon, height, C, M, datum)` with geodetic coordinates `(lat, lon, height)` for the given geocentric ones `(x, y, z)`, case `C`, optional `M` (EcefMatrix) and `datum` if available. Raises: `EcefError` - Invalid `xyz` or `scalar` `x` or `y` and/or `z` not `scalar` for `scalar` `xyz`. Overrides: _EcefBase.reverse Note: In general, there are multiple solutions and the result which minimizes `height` is returned, i.e., `(lat, lon)` corresponds to the closest point on the ellipsoid. If there are still multiple solutions with different latitudes (applies only if `z` = 0), then the solution with `lat` > 0 is returned. If there are still multiple solutions with different longitudes (applies only if `x` = `y` = 0) then `lon` = 0 is returned. The returned `height` value is not below −E.a * (1 − E.e2) / sqrt(1 − E.e2 * sin(lat)**2). The returned `lon` is in the range [−180°, 180°]. Like `forward` above, v1 = Transpose(M) ⋅ v0.

Property Details

### hmax Get the distance limit (`float`). Get method: hmax(self) - Get the distance limit (`float`). Set method: _fset_error(inst, val) - Throws an `AttributeError`, always. Delete Method: _fdel(inst) - Zap the cached, memoized `property` value.