Semiminor axis of elliptical orbit via orbit parameters
=======================================================

The minor semiaxis can be found as a function of the sector speed of the planet,
the major semiaxis of its orbit, and the mass of body that attracts it, such as the Sun.

**Notation:**

#. :math:`G` (:code:`G`) is :attr:`~symplyphysics.quantities.gravitational_constant`.

**Links:**

#. Sivukhin, D.V. (1979). *Obshchiy kurs fiziki* [General course of Physics], vol. 1, p. 318, (58.5)

.. py:currentmodule:: symplyphysics.laws.gravity.radial_motion.semiminor_axis_of_elliptical_orbit_via_orbit_parameters

.. py:data:: semiminor_axis

    The :attr:`~symplyphysics.symbols.classical_mechanics.semiminor_axis` of the planet's orbit.

Symbol:
    :code:`b`

Latex:
    :math:`b`

Dimension:
    :code:`length`


.. py:data:: sector_speed

    The :attr:`~symplyphysics.symbols.classical_mechanics.sector_speed` of the planet, i.e. the area swept by the planet per unit time.

Symbol:
    :code:`sigma`

Latex:
    :math:`\sigma`

Dimension:
    :code:`area/time`


.. py:data:: semimajor_axis

    The :attr:`~symplyphysics.symbols.classical_mechanics.semimajor_axis` of the planet's orbit.

Symbol:
    :code:`a`

Latex:
    :math:`a`

Dimension:
    :code:`length`


.. py:data:: attracting_mass

    The :attr:`~symplyphysics.symbols.basic.mass` of the attracting body, such as the Sun.

Symbol:
    :code:`M`

Latex:
    :math:`M`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`b = 2 * sigma * sqrt(a / (G * M))`


    Latex:
        .. math::
            b = 2 \sigma \sqrt{\frac{a}{G M}}