🪐 Kozai-Lidov Oscillations: Eccentricity and Inclination Exchange in a Hierarchical Triple

Kozai-Lidov oscillations of a planet in a wide binary: doubly averaged quadrupole equations, conserved j_z and energy, 39.2 degree critical angle, closed-form e_max and the hot-Jupiter pericentre dive, with live graphs and in-page numerical checks.