Angular momentum bounds in particle systems
Astrophysics of Galaxies
2019-12-11 v1 Mathematical Physics
math.MP
Abstract
Four expressions involving sums of position and velocity coordinates bounding the total angular momentum of particle systems, and by extension of any continuous or discontinuous material systems, are derived which are tighter for any particle configuration than similar inequalities derived by Sundman (1913), Saari (2005) and Scheeres (2012). Eight distinct inequalities can thus be ordered according to their tightness to angular momentum.
Cite
@article{arxiv.1912.01002,
title = {Angular momentum bounds in particle systems},
author = {Daniel Pfenniger},
journal= {arXiv preprint arXiv:1912.01002},
year = {2019}
}
Comments
This article published as part of the topical collection on 50 years of Celestial Mechanics and Dynamical Astronomy. The abstract references in the publised version have been altered by the publisher