Application of metrics in the space of orbits to search for asteroids on close orbits

Here, we apply natural metrics defined in the space of Keplerian orbits to search for asteroids in close orbits. First, we use as a metric the distance between two orbits in the five-dimensional space of Keplerian orbits. Then, we apply the distance in three-dimensional factor-space of positional orbital elements. We have identified new asteroid pairs with a possible common origin. Once the asteroid pairs candidates are identified, we analyze their dynamical evolution. We find that the Yarkovsky effect must be taken into account when carrying out high accuracy numerical simulations of the orbital evolution of asteroid pairs. Finally, we consider the planning of follow-up astrometric and photometric observations of the candidate asteroid pairs to determine their rotational parameters, needed to modeling the Yarkovsky effect.