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Diffstat (limited to 'docs/source/usage/operations/projections/fouc_s.rst')
| -rw-r--r-- | docs/source/usage/operations/projections/fouc_s.rst | 25 |
1 files changed, 0 insertions, 25 deletions
diff --git a/docs/source/usage/operations/projections/fouc_s.rst b/docs/source/usage/operations/projections/fouc_s.rst deleted file mode 100644 index ac353adb..00000000 --- a/docs/source/usage/operations/projections/fouc_s.rst +++ /dev/null @@ -1,25 +0,0 @@ -.. _fouc_s: - -******************************************************************************** -Foucaut Sinusoidal -******************************************************************************** - -.. image:: ./images/fouc_s.png - :scale: 50% - :alt: Foucaut Sinusoidal - - -The `y`-axis is based upon a weighted mean of the cylindrical equal-area and -the sinusoidal projections. Parameter :math:`n=n` is the weighting factor where -:math:`0 <= n <= 1`. - -.. math:: - - x &= \lambda \cos \phi / (n + (1 - n) \ cos \phi) - - y &= n \phi + (1 - n) \sin \phi - -For the inverse, the Newton-Raphson method can be used to determine -:math:`\phi` from the equation for :math:`y` above. As :math:`n \rightarrow 0` and -:math:`\phi \rightarrow \pi/2`, convergence is slow but for :math:`n = 0`, :math:`\phi = -\sin^1y` |
