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Dynamics for multis #947

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Re-implementation of Keperian dynamics for N bodies, so that it is compatible with Rebound numerical integrator.

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#!/usr/bin/env python3
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Can you please consolidate all source files related to transformations into a single python file, say transformations.py, so that we have everything in one place? Also, could you move executable parts to a test suite so that it's run alongside other tests? Finally, could you write up a high level documentation for the new implementation? It would be good to put our heads together and discuss naming -- for example, 'xyz' vs. 'cartesian' and similar.

Using user-defined force 'j2' instead of 'gravitational harmonics',
where the z-axis was assumed to be fixed,
not perpendicular to the respective orbit(s).
For the moment, 'j2' must be added as follows:

https://sirrah.troja.mff.cuni.cz/~mira/tmp/phoebe2/reboundx/
Each component has its own rotation axis,
with respect to which the acceleration must be computed
(and transformed back to the inertial frame).
For the moment, src/gravitational_harmonics.c must be modified:

https://sirrah.troja.mff.cuni.cz/~mira/tmp/phoebe2/reboundx_j2_/
@kecnry kecnry changed the title Multiple systems working in Phoebe Dynamics for multis Nov 14, 2024
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