# Kepler-9: the First Multi-Transiting System and the First Transit Timing Variations

## TL;DR

Kepler-9 was the first multi-transiting exoplanet system with observable transit timing variations, providing crucial insights into planetary masses and dynamics, and marking a significant milestone in exoplanet discovery with the Kepler mission.

## Contribution

This paper reviews the discovery, characterization, and dynamical analysis of Kepler-9, the first multi-transiting system with TTVs, highlighting its importance in exoplanet research and methodology.

## Key findings

- First confirmed multi-transiting system with TTVs
- Strong anti-correlated TTVs indicating planetary interactions
- Identification of a third small planet, Kepler-9d

## Abstract

Kepler-9, discovered by Holman et al. 2010, was the first system with multiple confirmed transiting planets and the first system to clearly show long-anticipated transit timing variations (TTVs). We review the historical circumstances behind the discovery and characterization of these planets and the publication of Holman et al. 2010. It was the first major novel exoplanet discovery of the Kepler Space Telescope mission. The Kepler pipeline identified two Saturn-radius candidates (called Kepler Objects of Interest or KOIs): KOI-377.01 with a 19-day period and KOI-377.02 with a 39-day period. Even with only 9 transits for KOI-377.01 and 6 of KOI-377.02, the transit times were completely inconsistent with a linear ephemeris and showed strongly anti-correlated variations in transit times. Holman et al. 2010 were able to readily show that these objects were planetary mass, confirming them as bona fide planets Kepler-9b and Kepler-9c. As a multi-transiting system exhibiting strong TTVs, the relative planetary properties (e.g., mass ratio, radius ratio) were strongly constrained, opening a new chapter in comparative planetology. KOI-377.03, a small planet with a 1.5-day period, was not initially discovered by the Kepler pipeline, but was identified during the analysis of the other planets and was later confirmed as Kepler-9d through the BLENDER technique by Torres et al. 2011. Holman et al. 2010 included significant dynamical analysis to characterize Kepler-9's particular TTVs: planets near resonance show large amplitude anti-correlated TTVs with a period corresponding to the rotation of the line of conjunctions and an additional "chopping" signal due to the changing positions of the planets. We also review the updated properties of this system and propose ideas for future investigations.