Most of them are extremely unstable, which is what the Morse number encodes - the number of directions you can roll down doing action minimisation. I don't think any N-body choreographies can exist in nature, because it requires point masses, exactly equal masses, Newtonian gravity etc.
BTW, I've wondered if it's possible to have N-body choreographies in general relativity; maybe some brave person can explore that :)
Most of them are extremely unstable, which is what the Morse number encodes - the number of directions you can roll down doing action minimisation. I don't think any N-body choreographies can exist in nature, because it requires point masses, exactly equal masses, Newtonian gravity etc.
BTW, I've wondered if it's possible to have N-body choreographies in general relativity; maybe some brave person can explore that :)