Planet Occurrence Rate Correlated to Stellar Dynamical History: Evidence from Kepler and Gaia

The dynamical history of stars influences the formation and evolution planets significantly. To explore influence on planet from observations, we assume that who experienced significantly different histories tend to have relative velocities. Utilizing accurate Gaia-Kepler Stellar Properties Catalog, select single main-sequence divide these into three groups according their velocities, i.e. high-V, medium-V, low-V stars. After considering known biases Kepler data adopting prior posterior correction minimize stellar properties occurrence rate, find high-V a lower rate super-Earths sub-Neptunes (1--4 R$_{\rm \oplus}$, P<100 days) higher sub-Earth (0.5--1 R$_{ P<30 than Additionally, hot Jupiter sized (4--20 R$_{\oplus}$, P<10 slightly warm or cold 10<P<400 days). investigating multiplicity eccentricity, hosts prefer fraction multi-planets systems average which is consistent with eccentricity-multiplicity dichotomy planetary systems. All statistical results favor scenario large velocity may experience fewer gravitational events, while be influenced by clustering