The gravitational instability of a stream of co-orbital particles

Details The gravitational instability of a stream of co-orbital particles The gravitational instability of a stream of co-orbital particles

2012-03-19

arxiv.org/abs/1203.4192v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

11 pages, 7 figures, 1 table. MNRAS, accepted

Scientific paper

We describe the dynamics of a stream of equally spaced macroscopic particles in orbit around a central body (e.g. a planet or star). A co-orbital configuration of small bodies may be subject to gravitational instability, which takes the system to a spreading, disordered and collisional state. We detail the linear instability's mathematical and physical features using the shearing sheet model and subsequently track its nonlinear evolution with local N-body simulations. This model provides a convenient tool with which to understand the gravitational and collisional dynamics of narrow belts, such as Saturn's F-ring and the streams of material wrenched from tidally disrupted bodies. In particular, we study the tendency of these systems to form long-lived particle aggregates. Finally, we uncover an unexpected connection between the linear dynamics of the gravitational instability and the magnetorotational instability.

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