Since 2013, dense and narrow rings are known around the small Centaur object
Chariklo and the dwarf planet Haumea. Dense material has also been detected
around the Centaur Chiron, although its nature is debated. This is the first
time ever that rings are observed elsewhere than around the giant planets,
suggesting that those features are more common than previously thought. The
origins of those rings remain unclear. In particular, it is not known if the
same generic process can explain the presence of material around Chariklo,
Chiron, Haumea, or if each object has a very different history. Nonetheless, a
specific aspect of small bodies is that they may possess a non-axisymmetric
shape (topographic features and or elongation) that are essentially absent in
giant planets. This creates strong resonances between the spin rate of the
object and the mean motion of ring particles. In particular, Lindblad-type
resonances tend to clear the region around the corotation (or synchronous)
orbit, where the particles orbital period matches that of the body. Whatever
the origin of the ring is, modest topographic features or elongations of
Chariklo and Haumea explain why their rings should be found beyond the
outermost 1/2 resonance, where the particles complete one revolution while the
body completes two rotations. Comparison of the resonant locations relative to
the Roche limit of the body shows that fast rotators are favored for being
surrounded by rings. We discuss in more details the phase portraits of the 1/2
and 1/3 resonances, and the consequences of a ring presence on satellite
formation.Comment: Chapter to be published in the book "The Transneptunian Solar
System", Dina Prialnik, Maria Antonietta Barucci, Leslie Young Eds. Elsevie