From the 1 of 6 linked papers with an AI index.
6 papers
Hierarchical Three-Body Problem at High Eccentricities = Simple Pendulum, IV: Octupole for Librating Kozai-Lidov Cycles
Ygal Y. Klein
The paper analytically derives the long‑term octupole dynamics of librating Kozai‑Lidov cycles in hierarchical three‑body systems, showing they behave like a simple pendulum and pr…
Short-Range Forces Can Catalyze Extreme Orbital Evolution in Hierarchical Triples
Ygal Y. Klein, Chris Hamilton
Hierarchical triples are promising environments for producing exotica such as black hole mergers and hot Jupiters, because of the von Zeipel-Lidov-Kozai (ZLK) effect, whereby a dis…
von Zeipel-Kozai-Lidov oscillations in nearby bright stars. I. Lambda Ophiuchi
Idel Waisberg, Ygal Klein, Boaz Katz
The challenge of constraining both the inner and the outer orbits in multiple stars has resulted in a growing abyss between the rich theoretical and the sparse observational studie…
Which is the most eccentric binary known? Insights from the 2023/4 pericenter passages of Zeta Boötis and Eta Ophiuchi
Idel Waisberg, Ygal Klein, Boaz Katz
There is a clear dearth of very eccentric binaries among those for which individual eccentricities can be measured. In this paper we report on observations of the two nearby, brigh…
Kozai Lidov Cycles = Simple Pendulum
Roi D. Basha, Ygal Y. Klein, Boaz Katz
The quadrupole Kozai mechanism, which describes the hierarchical three-body problem in the leading order, is shown to be equivalent to a simple pendulum where the change in the ecc…
Hierarchical Three-Body Problem at High Eccentricities = Simple Pendulum III: Precessing Quadrupole
Ygal Y. Klein, Boaz Katz
The very long-term evolution of the hierarchical restricted three-body problem with a slightly aligned precessing quadrupole potential is investigated analytically and solved for b…