Miller's instability, microchaos and the short-term evolution of initially nearby orbits
| dc.creator | Helmi, Amina | |
| dc.creator | Gomez, Facundo | |
| dc.date | 2007-10-02 | |
| dc.date.accessioned | 2026-07-07T08:33:33Z | |
| dc.date.available | 2026-07-07T08:33:33Z | |
| dc.description | We study the phase-space behaviour of nearby trajectories in integrable potentials. We show that the separation of nearby orbits initially diverges very fast, mimicking a nearly exponential behaviour, while at late times it grows linearly. This initial exponential phase, known as Miller's instability, is commonly found in N-body simulations, and has been attributed to short-term (microscopic) N-body chaos. However we show here analytically that the initial divergence is simply due to the shape of an orbit in phase-space. This result confirms previous suspicions that this transient phenomenon is not related to an instability in the sense of non-integrable behaviour in the dynamics of N-body systems. | |
| dc.description | 10 pages, 7 figures. Comments welcome | |
| dc.identifier | https://arxiv.org/abs/0710.0514 | |
| dc.identifier | http://arxiv.org/abs/0710.0514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139167 | |
| dc.subject | Astrophysics | |
| dc.title | Miller's instability, microchaos and the short-term evolution of initially nearby orbits | |
| dc.type | text |