  The case of Hyperion has been studied excesively due to the fact it is the
largest known celestial body of a highly aspherical shape. It also has a low
mass density and remains in a 4:3 orbital resonance with Titan. Its lightcurve,
obtained through photometric observations by (Klavetter 1989a,b), was initialy
used to show that Hyperion's rotation exhibits no periodicity. Herein it is
analyzed in the means of time series analysis. The Hurst Exponent was estimated
to be H=0.87, indicating a persistent behaviour. The largest Lyapunov Exponent
$\lambda_{max}$ unfortunately could not be given a reliable estimate because of
the shortness of the dataset, consisting 38 observational points. These results
are compared with numerical simulations, which gave a value H=0.88 for the
chaotic zone of the phase space. The Lyapunov time $T_{Lyap}=1/\lambda_{max}$
is about 30 days, which is roughly 1.5 times greater than the orbital period.
By conducting observations over a longer period an insight in the dynamical
features of the present rotational state is possible.
