There and back again: the quasi-interstellar objects

A population of interstellar objects (ISOs) exist that originate from the Solar System, rather than from other stars. Such a foreground could challenge straightforward analysis of the ISO sample expected to be gathered by upcoming sky surveys. We assess whether small bodies unbound from the Solar System can experience dynamical evolution in the Galactic potential that places them on re-encounter trajectories. We find that these 'quasi-interstellar objects' (quasi-ISOs) primarily depart the Solar System through erosion of the outer Oort cloud in the past few hundred Myr, excluding the most recent 10 Myr. After orbiting in the Milky Way potential nearby the Sun but beyond the tidal radius, those ejected on certain orbits can re-encounter the Solar System. Meanwhile, the larger population of ISOs produced by the Solar System early in its life will be too spread-out in the Galaxy to contribute significantly to the observed sample. We predict that quasi-ISOs will be intrinsically rare and have v infinity values of order 0.1 km s-1, easily distinguishable from ISOs from other stars, meaning that the observed ISO sample will be truly Galactic. The detection of a quasi-ISO would imply larger-than-expected losses from the Oort cloud, or a particularly catastrophic erosion event 10-300 Myr ago that would not be detectable any other way.