Numerical integration in celestial mechanics: a case for contact geometry
Numerical Analysis
2019-12-19 v3 Earth and Planetary Astrophysics
Numerical Analysis
Mathematical Physics
math.MP
Abstract
Several dynamical systems of interest in celestial mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities. For instance, the modified Kepler problem, the spin-orbit model and the Lane-Emden equation all belong to such class. In this work we start an investigation of these models from the point of view of contact geometry. In particular we focus on the (contact) Hamiltonisation of these models and on the construction of the corresponding geometric integrators.
Keywords
Cite
@article{arxiv.1909.02613,
title = {Numerical integration in celestial mechanics: a case for contact geometry},
author = {Alessandro Bravetti and Marcello Seri and Mats Vermeeren and Federico Zadra},
journal= {arXiv preprint arXiv:1909.02613},
year = {2019}
}
Comments
Published in Celestial Mechanics and Dynamical Astronomy