ENH: 3-dof lateral motion improvement (#883)

* ENH: addition of bella lui based 3 dof and 6 dof comparison notebook

- ENH: a new notebook bella_lui_3dof_vs_6dof.ipynb which uses new implementations of weathercocking model on 3dof

* ENH: addition of weathercocking model to flight.py

- ENH: introduced new weathercock_coeff parameter in Flight.init (default: 1.0)

- ENH: updated u_dot_generalized_3dof to compute quaternion derivatives proportional to misalignment with relative wind

- ENH: angular velocity = weathercock_coeff * sin(misalignment_angle)

* ENH: added tests for weathercocking to test_flight_3dof.py

- ENH: unit tests added for weathercocking to check whether weathercock_coeff=0 results in fixed attitude (no quaternion change).

- MNT: format and lint updates for new additions

* DOC: updating 3 dof documentation and corresponding index.rst

- DOC: added 3 dof and 6 dof comparison analysis to three_dof_simulation.rst

- DOC: updated iusers/index.rst to build three_dof_simulation.rst

- MNT: deleted the bella_lui_3dof_vs_6dof_comparison.ipynb as the doc now covers this section

* MNT: corrections to test_flight_3dof.py

- MNT: corrected doc string to represent correct orientation

- MNT: improved tolerance of check on quaternion derivative which should be ideally very small when axes are aligned

* MNT: docstring corrections to flight.py around new weathercocking implementation

* BUG: correction of singularity bug during align on vectors in weathercocking

- BUG: implemented a dot product check to ensure that singularity bug is avoided when rocket body and wind velocity are anti aligned to make rocket statically stable (in u_dot_generalized_3dof)

- MNT: removed redundant double assignment of e0 and w0 vectors within u_dot_generalized_3dof

- MNT: format correction to test_flight_3dof.py

* MNT: updating location of 3 dof doc in users index.rst

- MNT: 3 dof documentation only referred in users section/getting started

- MNT: correction of docstring in flight.py

- MNT: corrected unit_vector call when defining rotation axis in u_dot_generalized_3dof

- MNT:  docstring correction in test_flight_3dof.py

- ENH: test coverage added for anti alignment case in weathercock model to test_flight_3dof.py

* DOC: three_dof_simulation.rst update to add explanation of weather cocking coeff usage and value.

* MNT: changed default value of weather_coeff in flight.py and added fixtures to test_flight_3dof.py

* MNT: shifting test_flight_dof.py to integration tests.

- MNT: fixed default weathercock_coeff value in flight.py to match 3 dof behaviour by default

- MNT: corrected fixtures and docstrings in test_flight_3dof.py

* MNT: docsrting update in test_flight_3dof.py

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* MNT: Update of docstring in test_flight_3dof.py

- MNT: correction of docstring now that fixtures are used.

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* DOC: Update of three_dof_simulation.rst

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* Update tests/integration/simulation/test_flight_3dof.py

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* Docstring Update tests/integration/simulation/test_flight_3dof.py

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* docstring Update tests/integration/simulation/test_flight_3dof.py

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* docstring Update docs/user/three_dof_simulation.rst

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* Docstring Update rocketpy/simulation/flight.py

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

* MNT: Docstring updates to various files related to 3 dof

* MNT: unit vector edge case check in flight.py

- MNT: perp_axis singularity value error implemented to handle edge case for perp_axis being parallel to body axis in weathercocking model of 3 dof.

* DOC: Add note about motor file paths in 3-DOF comparison section (#902)

* Initial plan

* DOC: Add note about motor file paths in 3-DOF comparison section

Co-authored-by: aZira371 <99824864+aZira371@users.noreply.github.com>

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: aZira371 <99824864+aZira371@users.noreply.github.com>

* MNT: eliminate quaternion derivative code duplication in u_dot_generalized_3dof (#903)

* Initial plan

* Refactor: eliminate quaternion derivative code duplication in u_dot_generalized_3dof

Co-authored-by: aZira371 <99824864+aZira371@users.noreply.github.com>

* Improve comment clarity in weathercocking aligned case

Co-authored-by: aZira371 <99824864+aZira371@users.noreply.github.com>

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: aZira371 <99824864+aZira371@users.noreply.github.com>

* DOC: CHANGELOG.md update to reflect implementation of 3 dof lateral motion improvement

---------

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>
Co-authored-by: Copilot <198982749+Copilot@users.noreply.github.com>

Author: 3 people

CHANGELOG.md

@@ -32,6 +32,7 @@ Attention: The newest changes should be on top -->
 
 ### Added
 
+- ENH: 3-dof lateral motion improvement [#883](https://github.com/RocketPy-Team/RocketPy/pull/883)
 - ENH: Add multi-dimensional drag coefficient support (Cd as function of M, Re, α) [#875](https://github.com/RocketPy-Team/RocketPy/pull/875)
 - ENH: Add save functionality to `_MonteCarloPlots.all` method [#848](https://github.com/RocketPy-Team/RocketPy/pull/848)
 - ENH: add animations for motor propellant mass and tank fluid volumes [#894](https://github.com/RocketPy-Team/RocketPy/pull/894)

docs/user/index.rst

@@ -7,7 +7,7 @@ RocketPy's User Guide
 
    Installation and Requirements <installation.rst>
    First Simulation <first_simulation.rst>
-   3-DOF Simulations <three_dof_simulation.rst>
+   3 DOF Simulations and Comparison <three_dof_simulation.rst>
 
 .. toctree::
    :maxdepth: 1