Rocket speed from mass and impulse
==================================

The Tsiolkovsky formula determines the speed that an aircraft develops under the influence of the thrust
of a rocket engine, unchanged in direction, in the absence of all other forces.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.speed_of_rocket_depends_on_mass_and_impulse

.. py:data:: speed_change

    Maximum change in :attr:`~symplyphysics.symbols.classical_mechanics.speed` of the rocket.

Symbol:
    :code:`Delta(v)`

Latex:
    :math:`\Delta v`

Dimension:
    :code:`velocity`


.. py:data:: effective_exhaust_speed

    Effective exhaust :attr:`~symplyphysics.symbols.classical_mechanics.speed`, or specific impulse (i.e. impulse per unit mass). See
    `this Wikipedia paragraph <https://en.wikipedia.org/wiki/Specific_impulse#Specific_impulse_as_effective_exhaust_velocity>`__
    for more information.

Symbol:
    :code:`v_e`

Latex:
    :math:`v_\text{e}`

Dimension:
    :code:`velocity`


.. py:data:: initial_mass

    Initial :attr:`~symplyphysics.symbols.basic.mass` of the rocket.

Symbol:
    :code:`m_0`

Latex:
    :math:`m_{0}`

Dimension:
    :code:`mass`


.. py:data:: final_mass

    Final :attr:`~symplyphysics.symbols.basic.mass` of the rocket.

Symbol:
    :code:`m_1`

Latex:
    :math:`m_{1}`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`Delta(v) = v_e * log(m_0 / m_1)`


    Latex:
        .. math::
            \Delta v = v_\text{e} \log \left( \frac{m_{0}}{m_{1}} \right)