Ygal Klein, speaking in an Institute for Advanced Study astrophysics seminar, presents new analytical solutions to high eccentricity perturbed Keplerian orbits undergoing Kozai-Lidov oscillations. His claim is that the seemingly complex long-term behavior of hierarchical few-body stellar systems, such as triple or quadruple star systems, can be reduced to simple pendulum models that predict how these orbits evolve over time. Klein works through specific cases, including the octupole term effect for both massive and nonmassive perturbing bodies, and a precessing quadrupole potential that emerges once a fourth body is added to the system. The talk is aimed at researchers in stellar dynamics and orbital mechanics, walking through the mathematical reduction step by step on the blackboard, in the Bloomberg Lecture Hall setting typical of IAS seminars. Runtime is about an hour.