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rigidgrav

Symplectic integration of a dumbbell in space.

https://github.com/avitase/rigidgrav

Science Score: 44.0%

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    CITATION.cff file
    Found CITATION.cff file
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    Low similarity (5.7%) to scientific vocabulary

Keywords

rigid-body-dynamics simulation symplectic-integrators
Last synced: 10 months ago · JSON representation ·

Repository

Symplectic integration of a dumbbell in space.

Basic Info
  • Host: GitHub
  • Owner: avitase
  • License: mit
  • Language: Jupyter Notebook
  • Default Branch: main
  • Homepage:
  • Size: 38.8 MB
Statistics
  • Stars: 0
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Topics
rigid-body-dynamics simulation symplectic-integrators
Created about 4 years ago · Last pushed over 2 years ago
Metadata Files
Readme License Citation

README.md

About Fat Objects in Space

This repository houses a notebook that uses a symplectic integrator to simulate a rigid body (a dumbbell) in the gravitational field of the earth. We compiled this notebook to find an answer to the question: How does the orientation of a rigid body in space change along its trajectory? Does it align with its velocity vector or is the initial orientation an invariant?

See the notebook for our scripts and play around on your own! - notebook.ipynb

TL;DR Below we show what happens if the dumbbell is launched with the exact velocity its center of mass would need to stay on a circular orbit if the dumbbell would behave like a point-like particle.

It is noteworthy that this chaotic looking effect reduces if the length of the dumbbell becomes smaller w.r.t. its distance to the planet:

Just in case you care: We use a high order symplectic and symmetric integrator, ensure total energy and angular momentum conservation, and do our best to minimize the impact of rounding errors. Therefore, the effect of apsidal precession, for example as shown below

seems to be genuine.

Owner

  • Name: Nis Meinert
  • Login: avitase
  • Kind: user
  • Company: Pasteur Labs

Citation (CITATION.cff) 

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Meinert"
  given-names: "Nis"
  orcid: "https://orcid.org/0000-0002-4712-9579"
title: "rigidgrav"
version: 1.0
date-released: 2022-04-04
url: "https://github.com/avitase/rigidgrav"

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Dependencies

requirements.txt pypi
  • imageio *
  • ipywidgets *
  • jupyterlab *
  • matplotlib *
  • nbfigtulz *
  • numba *
  • numpy *
  • scipy *
  • tqdm *