.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "contents/tutorials_auto/02_coords/plot_01_test.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_contents_tutorials_auto_02_coords_plot_01_test.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_contents_tutorials_auto_02_coords_plot_01_test.py:


.. _tutorials-coords-ellipsoid:

===================
Reference Ellipsoid
===================



Parametrization Theory (Optional)
---------------------------------


Consider the domain :math:`D = \left(-\pi,\pi\right]\times\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]`

In this sense, let :math:`\PosSph \in \Real^{3\times1}` be the position of a sphere surface, then. 





.. math::
    \Pos\pare{\lambda, \beta}
    =
    \Pos_{\mathrm{surf}}\pare{\lambda, \beta}
    +
    h \hat{\boldsymbol{n}}\pare{\lambda, \beta}


.. image:: /_static/tikzpic/ellipsoid.svg
   :align: center
   :width: 300px

.. GENERATED FROM PYTHON SOURCE LINES 38-45



.. image-sg:: /contents/tutorials_auto/02_coords/images/sphx_glr_plot_01_test_001.png
   :alt: plot 01 test
   :srcset: /contents/tutorials_auto/02_coords/images/sphx_glr_plot_01_test_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    from matplotlib import pyplot


    figure, axes = pyplot.subplots()

    pyplot.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.054 seconds)


.. _sphx_glr_download_contents_tutorials_auto_02_coords_plot_01_test.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_01_test.ipynb <plot_01_test.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_01_test.py <plot_01_test.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_01_test.zip <plot_01_test.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_