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

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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.