📝 SummarXiv

Abstract

We study the gravitational dynamics of quasi-hierarchical triple systems, where the outer orbital period is significantly longer than the inner one, but the outer orbit is extremely eccentric, rendering the time at pericentre comparable to the inner period. Such systems are not amenable to the standard techniques of perturbation theory and orbit-averaging. Modelling the evolution of these triples as a sequence of impulses at the outer pericentre, we show that such triples lend themselves to a description as a correlated random walk of the inner binary's eccentricity and angular-momentum vector, going beyond the von Zeipel-Lidov-Kozai mechanism. The outer orbit is seen to excite the inner eccentricity arbitrarily close to unity, eventually. These quasi-hierarchical triples constitute, therefore, a natural mechanism for creating highly eccentric binaries. We discuss applications for gravitational-wave mergers engendered by this process, and show that for a large portion of the parameter space, the time-to-coalescence is significantly reduced.