I've asked Can there be an energetically unbounded three-body orbit where escape is impossible due to conservation of angular momentum? and I'm pretty sure that it
- is a mathematical problem
- will have a mathematical answer if it has an answer
- if anyone has solved it, it will have been a mathematician
I was surprised to see that after two days there are no answers nor even comments. Is there any chance that my question while not off-topic is not really the kind of question that gets answered here, or that the answer is so trivial that people are being polite by not answering? Or is it so difficult that the answer simply isn't known?
Sometimes its difficult for me to judge these things so I thought I'd ask here.
note: I'm looking for a definitive answer and guessing that it would be in the form of a reference to a mathematical proof from a long time ago. In another SE site I might get an answer "probably not" which gets highly up voted and then I'm left with a question that people feel has been answered yet I'm left not knowing for sure.
It is this quest for certainty that lead me to choose Math SE to post.