Acceleration due to gravity via gravity force and centripetal acceleration
==========================================================================

Suppose a reference frame :math:`S'` is fixed to a rotating body :math:`A` (e.g. Earth), so that
frame :math:`S'` rotates w.r.t. another static reference frame :math:`S`. The acceleration due to
gravity (in moving frame :math:`S'`) is the acceleration another body :math:`B` has in the gravity
field of body :math:`A`, with rotational effects such as the centripetal acceleration taken into
account. It is the same for all bodies at a fixed point, but can be different at different points
in space.

..
    TODO: add link to source

.. py:currentmodule:: symplyphysics.laws.gravity.vector.acceleration_due_to_gravity_via_gravity_force_and_centripetal_acceleration

.. py:data:: mass

    :attr:`~symplyphysics.symbols.basic.mass` of body :math:`B`.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: acceleration_due_to_gravity

    Vector of acceleration due to gravity of body :math:`B`.

Symbol:
    :code:`g`

Latex:
    :math:`{\vec g}`

Dimension:
    :code:`acceleration`


.. py:data:: gravity_force

    Vector of the :attr:`~symplyphysics.symbols.classical_mechanics.force` of gravity pull exerted on body :math:`B`.

Symbol:
    :code:`F`

Latex:
    :math:`{\vec F}`

Dimension:
    :code:`force`


.. py:data:: centripetal_acceleration

    Vector of centripetal :attr:`~symplyphysics.symbols.classical_mechanics.acceleration` of body :math:`B`.

Symbol:
    :code:`a_cp`

Latex:
    :math:`{\vec a}_\text{cp}`

Dimension:
    :code:`acceleration`


.. py:data:: law

    :code:`g = F / m - a_cp`


    Latex:
        .. math::
            {\vec g} = \frac{{\vec F}}{m} - {\vec a}_\text{cp}