It´s counter-intuitive because of the chaotic path. It appears like with every crazy turn this object takes, one would need a couple of extra bits of the initia

It´s counter-intuitive because of the chaotic path. It appears like with every crazy turn this object takes, one would need a couple of extra bits of the initial state - small deviations will result in completely different flight paths. Here, the initial state is of course the final state, but since its reversible that doesn´t really make a difference.