Constraints on Bounded Motion and Mutual Escape for the Full 3-Body Problem
arXiv:1611.09997 · doi:10.1007/s10569-016-9745-5
Abstract
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.
Accepted for publication in Celestial Mechanics and Dynamical Astronomy
References in corpus (4)
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- Formation of asteroid pairs by rotational fission
- Rotationally Resolved Spectroscopy of Asteroid Pairs: No Spectral Variation Suggests Fission is followed by Settling of Dust
- Relative Equilibria in the Spherical, Finite Density 3-Body Problem