# Chaotic zones around rotating small bodies

## TL;DR

This paper analyzes the extent of chaotic orbital zones around rotating small bodies in the Solar system, showing how these zones expand significantly with slower rotation rates, with implications for asteroid dynamics.

## Contribution

It provides an analytical and numerical determination of chaotic zone extents around irregularly shaped, rotating small bodies, highlighting the impact of rotation rate on zone size.

## Key findings

- Chaotic zones expand more than twice when rotation rate decreases tenfold.
- The extent of chaotic zones is analytically and numerically characterized.
- Examples include asteroid 243 Ida and asteroid 25143 Itokawa.

## Abstract

Small bodies of the Solar system, like asteroids, trans-Neptunian objects, cometary nuclei, planetary satellites, with diameters smaller than one thousand kilometers usually have irregular shapes, often resembling dumb-bells, or contact binaries. The spinning of such a gravitating dumb-bell creates around it a zone of chaotic orbits. We determine its extent analytically and numerically. We find that the chaotic zone swells significantly if the rotation rate is decreased, in particular, the zone swells more than twice if the rotation rate is decreased ten times with respect to the "centrifugal breakup" threshold. We illustrate the properties of the chaotic orbital zones in examples of the global orbital dynamics about asteroid 243 Ida (which has a moon, Dactyl, orbiting near the edge of the chaotic zone) and asteroid 25143 Itokawa.