├── .github └── workflows │ ├── documentation.yml │ └── release.yml ├── .gitignore ├── CHANGES.txt ├── LICENSE.txt ├── README.md ├── __pycache__ └── test_sample.cpython-311-pytest-8.3.4.pyc ├── docs ├── .nojekyll ├── Makefile ├── index.html ├── make.bat ├── requirements.txt └── source │ ├── _static │ ├── PygroGeodesicEngine.png │ ├── css │ │ └── custom.css │ ├── effective-potential-dark.png │ ├── effective-potential.png │ ├── null_geodesic │ │ ├── null_geodesic_example_1.png │ │ └── null_geodesic_example_2.png │ ├── observer-illustration-angles-dark.png │ ├── observer-illustration-angles.png │ ├── observer-illustration-dark.png │ ├── observer-illustration-schwarzschild-dark.png │ ├── observer-illustration-schwarzschild.png │ ├── observer-illustration.png │ ├── observer_example_1.png │ ├── observer_example_2.png │ ├── orbit-example-1.png │ ├── orbital-parameters-dark.png │ ├── orbital-parameters.png │ ├── pygro-banner-dark.png │ ├── pygro-banner.png │ ├── pygro-logo-dark.png │ ├── pygro-logo.png │ ├── time_like │ │ ├── time_like_geodesic_example_1.png │ │ └── time_like_geodesic_example_2.png │ ├── visualize_example_1.png │ ├── visualize_example_2.png │ ├── visualize_example_3.png │ └── wormhole-configuration.png │ ├── conf.py │ ├── create_metric.rst │ ├── define_observer.rst │ ├── examples │ ├── Kerr-Photons.ipynb │ ├── S2_MCMC.rst │ ├── Schwarzschild-ISCO.ipynb │ ├── Schwarzschild-PhotonOrbit.ipynb │ ├── Schwarzschild-Precession.ipynb │ ├── Wormhole.ipynb │ └── orbital_fitting │ │ ├── S2_MCMC.py │ │ ├── data │ │ ├── tab_gillessen_pos.csv │ │ └── tab_gillessen_vr.csv │ │ └── results │ │ ├── S2_all.png │ │ └── Schwarzschild_posterior.png │ ├── geodesic.rst │ ├── geodesicengine.rst │ ├── geodesics │ ├── null_geodesic.rst │ └── timelike_geodesic.rst │ ├── getting_started.rst │ ├── index.rst │ ├── integrate_geodesic.rst │ ├── integrating_orbits.rst │ ├── integrators.rst │ ├── interpolators.rst │ ├── metricengine.rst │ ├── observer.rst │ ├── orbit.rst │ ├── pygro-icon.ico │ └── visualize.rst ├── pygro ├── __init__.py ├── default_metrics │ ├── Kerr-BL.metric │ ├── __init__.py │ └── __pycache__ │ │ └── KerrBL.cpython-39.pyc ├── geodesic.py ├── geodesic_engine.py ├── integrators.py ├── interpolators.py ├── metric_engine.py ├── observer.py ├── orbit.py └── utils │ ├── __init__.py │ ├── __pycache__ │ ├── __init__.cpython-310.pyc │ ├── __init__.cpython-311.pyc │ ├── __init__.cpython-312.pyc │ ├── __init__.cpython-39.pyc │ ├── kepler.cpython-311.pyc │ ├── kepler.cpython-39.pyc │ ├── pi_formatter.cpython-311.pyc │ ├── pi_formatter.cpython-39.pyc │ ├── rotations.cpython-310.pyc │ ├── rotations.cpython-311.pyc │ ├── rotations.cpython-312.pyc │ └── rotations.cpython-39.pyc │ ├── constants.py │ ├── kepler.py │ ├── pi_formatter.py │ └── rotations.py ├── pyproject.toml ├── requirements.txt └── tests ├── __init__.py ├── __pycache__ ├── __init__.cpython-311.pyc └── metric_engine_test.cpython-311-pytest-8.3.4.pyc └── metric_engine_test.py 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