celmech: A Python Package for Celestial Mechanics

We present celmech , an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from the classical disturbing function expansion of the interaction...

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Bibliographic Details
Published in:The Astronomical journal Vol. 164; no. 5; pp. 179 - 194
Main Authors: Hadden, Sam, Tamayo, Daniel
Format: Journal Article
Language:English
Published: Madison The American Astronomical Society 01.11.2022
IOP Publishing
Subjects:
Astronomy
Celestial mechanics
Computational methods
Disturbing functions
Equations of motion
Mathematical models
Perturbation methods
ISSN:0004-6256, 1538-3881
Online Access:Get full text
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Summary:We present celmech , an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from the classical disturbing function expansion of the interaction potential between pairs of planets. The code can be applied, for example, to isolate the contribution of particular resonances to a system’s dynamical evolution and develop simple analytical models with the minimum number of terms required to capture a particular dynamical phenomenon. Equations and expressions can be easily manipulated by leveraging the extensive symbolic mathematics capabilities of the sympy Python package. The celmech package is designed to interface seamlessly with the popular N -body code REBOUND to facilitate comparisons between calculation results and direct N -body integrations. The code is extensively documented, and numerous example Jupyter notebooks illustrating its use are available online.
Bibliography:AAS39607
Laboratory Astrophysics, Instrumentation, Software, and Data
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ISSN:0004-6256
1538-3881
DOI:10.3847/1538-3881/ac8d01