  When gravitational aggregates are spun to fission they can undergo complex
dynamical evolution, including escape and reconfiguration. Previous work has
shown that a simple analysis of the full 2-body problem provides physically
relevant insights for whether a fissioned system can lead to escape of the
components and the creation of asteroid pairs. In this paper we extend the
analysis to the full 3-body problem, utilizing recent advances in the
understanding of fission mechanics of these systems. Specifically, we find that
the full 3-body problem can eject a body with as much as 0.31 of the total
system mass, significantly larger than the 0.17 mass limit previously
calculated for the full 2-body problem. This paper derives rigorous limits on a
fissioned 3-body system with regards to whether fissioned system components can
physically escape from each other and what other stable relative equilibria
they could settle in. We explore this question with a narrow focus on the
Spherical Full Three Body Problem studied in detail earlier.
