We present a search for visual companions of multiple systems with the LITE effect using DR3 data from the Gaia mission. Then, we verified if we can determine the relative positions and velocities of the two components in three-dimensional space with sufficient accuracy. Finally, we checked if closed orbits are possible for such values. We used fits of clone orbits with a scatter consistent with the errors of the parameters determined. We used covariance matrices provided by Gaia to create the normal distribution of the astrometric parameters. Most of the visual companions found are already listed in publications and catalogs. In some cases the positions in the three-dimensional space of the two components of the visual pair were unambiguous, i.e., the uncertainty ranges did not overlap. We selected a group of eight objects from among those in Zakirov's catalog, for which the positions and velocities of the main system and the visual companion are very similar. In most cases, we were able to find closed orbits by calculating the orbits of clones. In addition, we selected a wider group of 40 candidates with slightly worse parameters determined. Three of them were also studied in detail.
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