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We review the orbital stability of the planar circular restricted three-bodyproblem, in the case of massless particles initially located between bothmassive bodies. We present new estimates of the resonance overlap criterion andthe Hill stability limit, and compare their predictions with detailed dynamicalmaps constructed with N-body simulations. We show that the boundary between(Hill) stable and unstable orbits is not smooth but characterized by a richstructure generated by the superposition of different mean-motion resonanceswhich does not allow for a simple global expression for stability.  We propose that, for a given perturbing mass $m_1$ and initial eccentricity$e$, there are actually two critical values of the semimajor axis. All values$a < a_{\rm Hill}$ are Hill-stable, while all values $a > a_{\rm unstable}$ areunstable in the Hill sense. The first limit is given by the Hill-stabilitycriterion and is a function of the eccentricity. The second limit is virtuallyinsensitive to the initial eccentricity, and closely resembles a new resonanceoverlap condition (for circular orbits) developed in terms of the intersectionbetween first and second-order mean-motion resonances.

The Resonance Overlap and Hill Stability Criteria Revisited