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

## TL;DR

This paper provides a rigorous computer-assisted proof demonstrating symbolic dynamics in Hyperion's complex rotational behavior, confirming chaos in its motion through advanced computational methods.

## Contribution

It introduces a novel computer-assisted proof approach using CAPD library to establish symbolic dynamics in Hyperion's rotation model, advancing understanding of celestial chaos.

## Key findings

- Confirmed symbolic dynamics in Hyperion's rotation
- Validated chaos in the satellite's motion
- Demonstrated effectiveness of CAPD library for dynamical proofs

## 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.