Quasi-secular evolution of mildly hierarchical triple systems: analytics and applications for GW-sources and hot Jupiters

Understand

In hierarchical triple systems, the inner binary is perturbed by a distant companion.

• For large mutual inclinations, the Lidov-Kozai mechanism secularly excites large eccentricity and inclination oscillations of the inner binary.
• The maximal eccentricity attained, $e_{\rm max}$ is simply derived and widely used.
• However, for mildly hierarchical systems (i.e.