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PyRAA
Python Restricted Astronomy and Astrodynamics

Open-source Python package for dynamical systems analysis of restricted multi-body models

Thanks for checking out PyRAA! The Python Restricted Astronomy and Astrodynamics library was developed to aid researchers in dynamical astronomy and multi-body astrodynamics with routine calculations in restricted multi-body models.

PyRAA Core Functionality
  • Circular and Elliptical Restricted Three-body dynamical models
  • Variable precision Runge-Kutta numerical integration
  • Flexible and advanced plotting capabilities
  • Differential corrections targeting algorithms
  • Numerical continuation schemes
  • Poincaré map generation

What is a restricted multi-body model?

A restricted multi-body model is a simplification of the gravitational N-body problem. The model assumes that the particle of interest is massless and subject to the gravitational influce of two or more other bodies. The massive bodies move in predictable 2-body motion, while the particle of interest is studied under the dynamics of two or more gravitational interactions.

Examples:

  • Circular Restricted Three-body Problem (CRT3BP)
  • Elliptical Restricted Three-body Problem (ERT3BP)
  • Bicircular Restricted Four-body Problem (BCR4BP)

What are restricted multi-body models used for?

Restricted multi-body models are most useful when studying the effects of multiple gravitational fields on a body that is relatively small compared to the influencing masses.

  • Earth-Moon spacecraft trajectory design
  • Circumbinary exoplanet orbital dynamics
  • Dust particles in at solar system with a giant planet

Important

New Features!
  • numba accelerated computations, integration time peformance boost, 10x faster
  • pyraa.Targeter object oriented differential corrections and eigenspectrum analysis
  • inertial coordinates saved as sat attribute

Note

The primary use-case for PyRAA is dynamical systems analysis of restricted multi-body models used in astrodynamics and dynamical astronomy.

PyRAA does not have functionality similar to other orbital dynamics software such as REBOUND, poliastro, STK, etc.

Not supported features

  • N-body integration
  • 2-body orbital dynamics
  • Lambert solver
  • General coordinate transformations
Author:Drew Langford
Email:langfora@purdue.edu 
.. toctree::
   :maxdepth: 2
   :caption: Contents:

   tutorials.rst
   api.rst
   acknowldegments.rst

Indices and tables