Semimajor axis of orbit via mass and speed
==========================================

Let the body move in an elliptical orbit. Then its semimajor axis depends on the mass of the body around which it
rotates and the orbital velocity.

**Notation:**

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

..
    TODO: find link
    TODO: rename file

.. py:currentmodule:: symplyphysics.laws.gravity.large_half_axis_of_orbit

.. py:data:: semimajor_axis

    :attr:`~symplyphysics.symbols.classical_mechanics.semimajor_axis` of the orbit.

Symbol:
    :code:`a`

Latex:
    :math:`a`

Dimension:
    :code:`length`


.. py:data:: orbital_speed

    :attr:`~symplyphysics.symbols.classical_mechanics.speed` of the attracted body at which it orbits the attracting body.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: attracting_mass

    :attr:`~symplyphysics.symbols.basic.mass` of the attracting body.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`a = G * m / v^2`


    Latex:
        .. math::
            a = \frac{G m}{v^{2}}