# Secular evolution of compact binaries revolving around a spinning massive black hole

## TL;DR

This paper investigates how the spin of a supermassive black hole influences the long-term orbital evolution of nearby compact binaries, revealing oscillating effects at the 1.5PN order that differ from non-spinning cases.

## Contribution

It introduces a detailed analysis of the spin-induced effects on binary orbital evolution at the 1.5PN order, highlighting oscillatory behavior absent in non-spinning SMBH models.

## Key findings

- Spin of SMBH causes oscillating secular evolution of binary eccentricity.
- Spin effects appear at 1.5PN order through angular momentum coupling.
- Long-term orbital dynamics are significantly affected by SMBH spin.

## Abstract

The leading order effect of the spin of a distant supermassive black hole (SMBH) on the orbit of compact binary revolving around it appears at the 1.5 post Newtonian (PN) expansion through coupling with the inner and outer orbital angular momenta, and makes an oscillating characteristic contribution to the secular evolution of the compact binary eccentricity over a long time scale compared to the Kozai-Lidov dynamics caused by a non-spinning SMBH.