Is it possible to explain Milankovitch cycles (or some other arbitrary planetary configuration that recurs to some approximation) in terms of the Poincare recurrence theorem?
More generally, is there a good physical example of the Poincare recurrence theorem?
We just had a pedagogical paper on Poincare recurrence:
https://arxiv.org/abs/1705.01444
Yes, for the planetary configuration problem, some of the recurrences can be predicted accurately. It reduces to a classic problem in number theory, namely, the simultaneous Diophantine approximation problem for real numbers. Mathematicians have done a lot on this problem and in particular, a famous algorithm (the LLL algorithm) exists.
