A computer-assisted proof of symbolic dynamics in Hyperion's inner rotation model

Abstract

The rotation of Hyperion is often modelled by equations of motion of an ellipsoidal satellite. The model is expected to be chaotic for large range of parameters. The paper contains a rigorous computer-assisted proof of the existence of symbolic dynamics in its dynamics by the use of CAPD C++ library.

14 pages, 11 figures

References in corpus (1)

• Influence of a second satellite on the rotational dynamics of an oblate moon

Cited by in corpus (3)

• Symbolic dynamics in a binary asteroid system
• Euler integral as a source of chaos in the three-body problem
• A computer-assisted proof of the existence of Smale horseshoe for the folded-towel map