http://arxiv.org/abs/1901.08981
We revise the r\^{o}le of discreteness and chaos in the dynamics of self-gravitating systems by means of $N$-body simulations with active and frozen potentials, starting from spherically symmetric stationary states and considering the orbits of single particles as well as the orbits of the system in the full $2N$-dimensional phase space. We investigate the dependence on $N$ of the largest Lyapunov exponent both of single particle orbits and of the full $N$-body system. We also show that the use of frozen $N$-body potentials may be misleading in certain cases.
P. Cintio and L. Casetti
Mon, 28 Jan 19
16/55
Comments: 9 pages 10 figures. Submitted to MNRAS, Comments welcome