That equation permits their population's approach to a separatrix, and was first solved by Wisdom.
Recoil drift may produce slow leakages through them via the Yarkovsky Effect, a possible explanation for their population of high-albedo objects. Trajectories associated with them were first solved with a time-averaged Hamiltonian applied to a restricted ellipse, which reduced to a harmonic dynamic. That equation permits their population's approach to a separatrix, and was first solved by Wisdom. Examples like the Hestia and the Hecuba give rise to the Alinda and Griqua groups. The most prominent ones occur at mean-motion ratios of 3:1, 5:2, 7:3, and 2:1 with that of a certain nearby body, and result from chaotic increases in eccentricity.  FTP, name these large spaces cleared by orbital resonances of Jupiter from the Asteroid Belt.
Recoil drift may produce slow leakages through them via the Yarkovsky Effect, a possible explanation for their population of high-albedo objects.
Kirkwood Gaps