A note on the geometric modeling of the full two body problem
Classical Physics
2019-01-04 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
The two full body problem concerns the dynamics of two spatially extended rigid bodies (e.g. rocky asteroids) subject to mutual gravitational interaction. In this note we deduce the Euler-Poincare and Hamiltonian equations of motion using the geometric mechanics formalism.
Keywords
Cite
@article{arxiv.1901.00776,
title = {A note on the geometric modeling of the full two body problem},
author = {Tanya Schmah and Cristina Stoica},
journal= {arXiv preprint arXiv:1901.00776},
year = {2019}
}