12000 different solutions that produce 12000 different orbital forecasts keeps actual behavior unpredictable.
1. Central body plus two nonintersecting ellipses.
2. Central body plus two intersecting ellipses.
3. Figure 8 (this one might not work in real life)
4. Two central bodies; third body in an ellipse around them
5. Central body, ellipse around it - 3rd body in an ellipse around the 2nd.
I need 11995 more.