The stock is up 36 points or 7% in after-hours. I would be short. These moves from management reek of desperation and don't give me much confidence. They missed big on ipad sales
Some companies certainly split their stocks to encourage demand, but I don't think any do it for "desperation." As for Apple, they've proven time after time they don't really care about short-term expectations.
There is no analytical solution for multi-body problem. But one can still use numerical solution to simulate. Though the error will become bigger and bigger and not reflect the real world scenario.