Relativistic mass moment
========================

Mass moment is an additive physical quantity useful for deriving the Lorentz transformation of
angular momentum. For isolated systems, it is conserved in time, but unlike angular momentum, the
vector of mass moment is a polar ("ordinary") vector and therefore invariant under inversion.

**Links:**

#. `Wikipedia, end of paragraph <https://en.wikipedia.org/wiki/Relativistic_angular_momentum#Dynamic_mass_moment>`__.

.. py:currentmodule:: symplyphysics.laws.relativistic.vector.relativistic_mass_moment

.. py:data:: mass_moment

    Vector of mass moment.

Symbol:
    :code:`N`

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

Dimension:
    :code:`length*mass`


.. py:data:: rest_mass

    :attr:`~symplyphysics.symbols.relativistic_mechanics.rest_mass` of the body.

Symbol:
    :code:`m_0`

Latex:
    :math:`m_{0}`

Dimension:
    :code:`mass`


.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: lorentz_factor

    :attr:`~symplyphysics.symbols.relativistic_mechanics.lorentz_factor`.

Symbol:
    :code:`gamma`

Latex:
    :math:`\gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: position_vector

    Vector of the body's position. See :attr:`~symplyphysics.symbols.classical_mechanics.distance_to_origin`.

Symbol:
    :code:`r`

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

Dimension:
    :code:`length`


.. py:data:: velocity

    Vector of the body's velocity. See :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

Symbol:
    :code:`v`

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

Dimension:
    :code:`velocity`


.. py:data:: law

    :code:`N = m_0 * gamma^2 * (r - v * t)`


    Latex:
        .. math::
            {\vec N} = m_{0} \gamma^{2} \left({\vec r} - {\vec v} t\right)