Angular momentum bounds in particle systems
Daniel Pfenniger
TL;DR
This paper derives four new bounds on the total angular momentum of particle systems that are tighter than previous inequalities, applicable to both discrete particles and continuous materials.
Contribution
It introduces four novel inequalities that improve upon existing bounds for angular momentum in particle and material systems.
Findings
Derived four tighter angular momentum bounds
Ordered eight inequalities by tightness
Applicable to both discrete and continuous systems
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.
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