Stability in the Full Two-Body Problem

摘要: Stability conditions are established in the problem of two gravitationally interacting rigid bodies, designated here as full two-body problem. The stability derived using basic principles from N-body which can be carried over to Sufficient for Hill and instability, against impact derived. analysis is applicable binary small-body systems such have been found recently asteroids Kuiper belt objects. In this paper, some classical results applied each with an arbitrary gravity field. Such a serve model dynamics system, asteroid or object, especially during early stages its evolution following disruptive planetary flyby. specific interest expressed paper concerns long term disrup- tion (escape) impact. disruption essentially stability, we find sufficient con- ditions violation stability. Necessary more difficult, explained. problem, often related Lagrange restricts both positions velocities bodies bounded. For point masses, restriction guarantees that will not occur. However, distributed mass, impacts occur finite velocity; thus introduce definition called (SAI). We SAI