The product of a semi-major axis, 1 minus eccentricity, and the cube root of one third the ratio of the lesser to the greater mass gives an approximation of its namesake radius, at which motion is Keplerian.
Artsakhov demonstrated a method of modeling chaotic stabilization of binary systems outside this construct via Aarseth-Zare regularization, and chaotic transitions toward this region from quasiperiodic trajectories along KAM tori may occur via intruder scattering. The Yarkovsky Effect, gas resonance, and tidal accretion are processes which have been invoked to explain permanent allochthonous body fixation (*) within it. The product of a semi-major axis, 1 minus eccentricity, and the cube root of one third the ratio of the lesser to the greater mass gives an approximation of its namesake radius, at which motion is Keplerian. It extends between the L1 and L2 Lagrange Points, below which third-body orbitals decay toward the Roche Limit. FTP, name this region in which the strength of a planet's gravitational field exceeds the strength of the solar gravitational field, in which stable lunar orbits may exist.
Artsakhov demonstrated a method of modeling chaotic stabilization of binary systems outside this construct via Aarseth-Zare regularization, and chaotic transitions toward this region from quasiperiodic trajectories along KAM tori may occur via intruder scattering.
{Hill Sphere}