.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/plate_tectonics/plot_10_mckenzie_parker_plates_on_sphere.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_api_gallery_plate_tectonics_plot_10_mckenzie_parker_plates_on_sphere.py>`
        to download the full example code or to run this example in your browser via JupyterLite.

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

.. _sphx_glr_api_gallery_plate_tectonics_plot_10_mckenzie_parker_plates_on_sphere.py:


McKenzie and Parker's plates on a sphere (1967)
===============================================

Dan McKenzie and Robert Parker showed that the North Pacific moves as one
rigid cap rotating about a single pole. Speed then varies as the sine of the
angular distance from the pole: zero at the pole, largest 90 degrees away.

.. GENERATED FROM PYTHON SOURCE LINES 9-29



.. image-sg:: /api/gallery/plate_tectonics/images/sphx_glr_plot_10_mckenzie_parker_plates_on_sphere_001.png
   :alt: One rotation, many speeds
   :srcset: /api/gallery/plate_tectonics/images/sphx_glr_plot_10_mckenzie_parker_plates_on_sphere_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from earthsciencekit.constants import EARTH_RADIUS
    from earthsciencekit.plate_tectonics import plate_speed
    from earthsciencekit.units import convert

    omega = convert(0.8, "degree", "rad") / convert(1e6, "year", "s")
    distance = np.linspace(0, np.pi, 181)
    speed = plate_speed(omega, EARTH_RADIUS, distance)
    assert np.isclose(float(plate_speed(omega, EARTH_RADIUS, 0)), 0)
    assert np.argmax(speed) == 90 and np.isclose(speed.max(), omega * EARTH_RADIUS)

    fig, ax = plt.subplots()
    ax.plot(np.rad2deg(distance), convert(speed, "m/s", "cm/year"))
    ax.set(xlabel="angular distance from the Euler pole [degree]", ylabel="plate speed [cm/year]")
    ax.set_title("One rotation, many speeds")

    plt.show()


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

   **Total running time of the script:** (0 minutes 0.070 seconds)


.. _sphx_glr_download_api_gallery_plate_tectonics_plot_10_mckenzie_parker_plates_on_sphere.py:

.. only:: html

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

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../../lite/lab/index.html?path=api/gallery/plate_tectonics/plot_10_mckenzie_parker_plates_on_sphere.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

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

      :download:`Download Jupyter notebook: plot_10_mckenzie_parker_plates_on_sphere.ipynb <plot_10_mckenzie_parker_plates_on_sphere.ipynb>`

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

      :download:`Download Python source code: plot_10_mckenzie_parker_plates_on_sphere.py <plot_10_mckenzie_parker_plates_on_sphere.py>`

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

      :download:`Download zipped: plot_10_mckenzie_parker_plates_on_sphere.zip <plot_10_mckenzie_parker_plates_on_sphere.zip>`


.. only:: html

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

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