The Kinematic Age of 3I/ATLAS and its Implications for Early Planet Formation

Abstract: The recent discovery of the third interstellar object (3I/ATLAS) expands the known census from two to three and significantly improves statistical inferences regarding the underlying galactic population. 3I/ATLAS exhibits detectable activity that may increase as the object approaches perihelion. In this paper, we argue that the cometary activity likely significantly contributes to 3I/ATLAS's brightness, since the nuclear size of 3I/ATLAS assuming an asteroidal reflectance implies an untenable interstellar object mass per star. 3I/ATLAS exhibits an excess velocity of $v_\infty=58$ km/s relative to the Sun which is significantly larger than that of 1I/`Oumuamua or 2I/Borisov. This velocity implies that 3I/ATLAS is relatively old in comparison to previous interstellar objects. Here, we calculate the posterior distribution of ages implied by the kinematics of the interstellar objects and find that 3I/ATLAS is likely $\sim3-11$ Gyr old, assuming that the interstellar object and stellar age-velocity relations are equivalent. We also calculate the distribution of host star metallicities and find that 3I/ATLAS likely originated in a lower-metallicity system than the previous interstellar objects. These results show that interstellar object formation is likely efficient at low metallicities and early in the history of the Galaxy. Finally, we estimate and approximate interstellar object formation rate throughout Galactic history implied by these three objects.