Angular momentum bounds in particle systems. (arXiv:1912.01002v1 [astro-ph.GA])

<a href="http://arxiv.org/find/astro-ph/1/au:+Pfenniger_D/0/1/0/all/0/1">Daniel Pfenniger</a>

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.

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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