Package pygeodesy :: Module triaxials :: Class JacobiConformal

Class JacobiConformal

  object --+                    
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named._Named --+                
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named._NamedBase --+            
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named._NamedEnumItem --+        
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               Triaxial_ --+    
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                    Triaxial --+
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                              JacobiConformal

Known Subclasses:

JacobiConformalSpherical

This is a conformal projection of a triaxial ellipsoid to a plane in which the X and Y grid lines are straight.

Ellipsoidal coordinates beta and omega are converted to Jacobi Conformal y respectively x separately. Jacobi's coordinates have been multiplied by sqrt(a**2 - c**2) / (2 * b) so that the customary results are returned in the case of an ellipsoid of revolution.

Note: This constructor can not be used to specify a sphere, see alternate JacobiConformalSpherical.

See Also: Triaxial, C++ class JacobiConformal, Jacobi's conformal projection and Jacobi, C. G. J. Vorlesungen über Dynamik, page 212ff.

Instance Methods

xR(self, omega)
Compute a Jacobi Conformal x projection.

xR_(self, somega, comega)
Compute a Jacobi Conformal x projection.

xyR2(self, beta, omega, **name)
Compute a Jacobi Conformal x and y projection.

xyR2_(self, sbeta, cbeta, somega, comega, **name)
Compute a Jacobi Conformal x and y projection.

yR(self, beta)
Compute a Jacobi Conformal y projection.

yR_(self, sbeta, cbeta)
Compute a Jacobi Conformal y projection.

Inherited from Triaxial: __init__, forwardBetaOmega, forwardBetaOmega_, forwardCartesian, forwardLatLon, forwardLatLon_, reverseBetaOmega, reverseCartesian, reverseLatLon

Inherited from Triaxial_: __str__, area_p, hartzell4, height4, normal3d, sideOf, toEllipsoid, toStr

Inherited from named._NamedEnumItem: unregister

Inherited from named._NamedBase: __repr__, others, toRepr

Inherited from named._Named: __imatmul__, __matmul__, __rmatmul__, attrs, classof, copy, dup, methodname, rename, renamed, toStr2

Inherited from object: __delattr__, __format__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

Properties

xyQ2

Inherited from Triaxial: area

Inherited from Triaxial_: a, b, c, e2ab, e2ac, e2bc, isOrdered, isSpherical, unOrdered, volume

Inherited from named._NamedEnumItem: name

Inherited from named._Named: classname, classnaming, iteration, named, named2, named3, named4, sizeof

Inherited from object: __class__

Method Details

xR (self, omega)

Compute a Jacobi Conformal x projection.

Arguments:

omega - Ellipsoidal longitude (radians or Degrees).

Returns:

The x projection (Radians).

xR_ (self, somega, comega)

Compute a Jacobi Conformal x projection.

Arguments:

somega - Ellipsoidal longitude sin(omega) (scalar).
comega - Ellipsoidal longitude cos(omega) (scalar).

Returns:

The x projection (Radians).

xyR2 (self, beta, omega, **name)

Compute a Jacobi Conformal x and y projection.

Arguments:

beta - Ellipsoidal latitude (radians or Degrees).
omega - Ellipsoidal longitude (radians or Degrees).
name - Optional name (str), overriding name="xyR2".

Returns:

A Jacobi2Tuple(x, y).

xyR2_ (self, sbeta, cbeta, somega, comega, **name)

Compute a Jacobi Conformal x and y projection.

Arguments:

sbeta - Ellipsoidal latitude sin(beta) (scalar).
cbeta - Ellipsoidal latitude cos(beta) (scalar).
somega - Ellipsoidal longitude sin(omega) (scalar).
comega - Ellipsoidal longitude cos(omega) (scalar).
name - Optional name (str), overriding name="xyR2_".

Returns:

A Jacobi2Tuple(x, y).

yR (self, beta)

Compute a Jacobi Conformal y projection.

Arguments:

beta - Ellipsoidal latitude (radians or Degrees).

Returns:

The y projection (Radians).

yR_ (self, sbeta, cbeta)

Compute a Jacobi Conformal y projection.

Arguments:

sbeta - Ellipsoidal latitude sin(beta) (scalar).
cbeta - Ellipsoidal latitude cos(beta) (scalar).

Returns:

The y projection (Radians).

Property Details

xyQ2

Get method:: _fget(inst) - Get and cache/memoize the property value.
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.