Orbits of very distant asteroid satellites
The very wide binary asteroid (VWBA) population is a small subset of the population of known binary and multiple asteroids made of systems with very widely orbiting satellites and long orbital periods, on the order of tens to hundreds of days. The origin of these systems is debatable, and most members of this population are poorly characterized. We have compiled all available high-angular resolution imaging archival data of VWBA systems from large ground- and space-based telescopes. We measure the astrometric positions of the satellite relative to the primary and analyze the dynamics of the satellites using the Genoid genetic algorithm. Additionally, we use a NEATM thermal model to estimate the diameters of two systems, and we model the orbit of Litva's inner satellite using photometric lightcurve observations. We determine the effective diameters of binary systems Christophedumas and Alconrad to be 4.7 + 0.4km and 5.2 + 0.3km respectively. We determine new orbital solutions for five systems, Huenna, Litva, (3548) Eurybates, Pauling, and Alconrad. We find a significantly eccentric best-fit orbital solution for the outer satellite of Litva, a moderately eccentric solution for Alconrad, and a nearly circular solution for Pauling. We also confirm previously reported orbital solutions for (379) Huenna and Eurybates. It is unlikely that BYORP expansion could be solely responsible for the formation of VWBAs. It is possible that the satellites of these systems were formed through YORP spin-up and then later scattered onto very wide orbits. Additionally, we find that some members of the population are unlikely to have formed satellites through YORP spin-up, and a collisional formation history is favored. In particular, this applies to VWBAs within large dynamical families, or large VWBA systems such as Huenna and NASA's Lucy mission target Eurybates.