``Ellipsoid``
*************

.. currentmodule:: spacekernel.mathtools.ellipsoid

.. autoclass:: Ellipsoid


.. toctree::
    :hidden:
    :maxdepth: 1

    Ellipsoid.Re
    Ellipsoid.f

    Ellipsoid.enu

    Ellipsoid.reduced_lat_from_geodetic_lat
    Ellipsoid.geodetic_lat_from_reduced_lat
    Ellipsoid.surf_pos_from_surf_coord
    Ellipsoid.surf_coord_from_surf_pos

    Ellipsoid.solve_reduced_lat_equation
    Ellipsoid.lla_from_pos
    Ellipsoid.pos_from_lla

    Ellipsoid.geodetic_state_from_state_vector
    Ellipsoid.state_vector_from_geodetic_state

    Ellipsoid.surf_pos_of_ray_first_intersection
    Ellipsoid.aer_coords

    Ellipsoid.c_reduced_lat_from_geodetic_lat
    Ellipsoid.c_geodetic_lat_from_reduced_lat

Attributes
==========

.. list-table::

    *   - :attr:`Re <spacekernel.mathtools.ellipsoid.Ellipsoid.Re>`
        - Ellipsoid equatorial radius (in meters).
    *   - :attr:`f <spacekernel.mathtools.ellipsoid.Ellipsoid.f>`
        - The flattening factor of the ellipsoid. Between [0.0, 1.0).


Methods
=======

.. autosummary::

    Ellipsoid.enu
    Ellipsoid.reduced_lat_from_geodetic_lat
    Ellipsoid.geodetic_lat_from_reduced_lat
    Ellipsoid.surf_pos_from_surf_coord
    Ellipsoid.surf_coord_from_surf_pos
    Ellipsoid.solve_reduced_lat_equation
    Ellipsoid.lla_from_pos
    Ellipsoid.pos_from_lla
    Ellipsoid.geodetic_state_from_state_vector
    Ellipsoid.state_vector_from_geodetic_state
    Ellipsoid.surf_pos_of_ray_first_intersection
    Ellipsoid.aer_coords

C-level Methods
===============

.. autosummary::

    Ellipsoid.c_reduced_lat_from_geodetic_lat

.. list-table::

   * - :c:func:`c_reduced_lat_from_geodetic_lat <Ellipsoid.c_reduced_lat_from_geodetic_lat>`
     - Compute the reduced (parametric) latitude β from a geodetic latitude φ.
   * - :c:func:`c_geodetic_lat_from_reduced_lat <Ellipsoid.c_geodetic_lat_from_reduced_lat>`
     - Inverse: geodetic latitude φ from reduced latitude β.