Planets Across Space and Time (PAST). I.

The relations between the characteristics of these planetary systems and the kinematics, Galactic components, and ages of their host stars have yet to be well explored. To address these questions, we conduct a research project, dubbed Planets Across Space and Time (PAST).

To do this, one of the key steps is to accurately characterize the planet host stars. In this paper, Paper I of the PAST series, we revisit the kinematic method for classification of Galactic components and extend the applicable range of velocity ellipsoid from ~100pc to ~1500pc from the Sun in order to cover most known planet hosts. Furthermore, we revisit the age-velocity dispersion relation (AVR), which allows us to derive kinematic ages with a typical uncertainty of 10-20% for an ensemble of stars.