Angular momentum is position cross linear momentum
==================================================

The pseudovector of *angular momentum* of a particle is the cross product of its
position vector and linear momentum. Unlike linear momentum, angular momentum depends
on where the origin of the coordinate system is chosen since it depends on the position
vector of the particle defined relative to that origin.

**Notation:**

#. :math:`\vec a \times \vec b` (:code:`cross(a, b)`) denotes a cross product between
   vectors :math:`\vec a` and :math:`\vec b`.

**Links:**

#. `Wikipedia, see second paragraph <https://en.wikipedia.org/wiki/Angular_momentum#>`__.

.. py:currentmodule:: symplyphysics.classical_mechanics.dynamics.rotational_motion.angular_momentum_is_position_cross_linear_momentum

.. py:data:: position_vector

    Displacement of the body relative to the origin of the reference frame. See
    :attr:`~symplyphysics.symbols.classical_mechanics.distance_to_origin`.

Symbol:
    :code:`r`

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

Dimension:
    :code:`length`


.. py:data:: linear_momentum

    Vector of linear :attr:`~symplyphysics.symbols.classical_mechanics.momentum`.

Symbol:
    :code:`p`

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

Dimension:
    :code:`momentum`


.. py:data:: angular_momentum

    Pseudovector of :attr:`~symplyphysics.symbols.classical_mechanics.angular_momentum`.

Symbol:
    :code:`L`

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

Dimension:
    :code:`length**2*mass/time`


.. py:data:: law

    :code:`L = cross(r, p)`


    Latex:
        .. math::
            {\vec L} = \left[ {\vec r}, {\vec p} \right]