A program of observations of asteroids suspected of being binary has been launched at the Pulkovo Observatory in order to search for features inherent in binary asteroids in their lightcurves. The first asteroid observed was asteroid (720) Bohlinia. The following results were obtained from observations performed in September–October 2024. The rotation period of the asteroid (its main component) was confirmed: P = 8.9183 ± 0.0016 h. A decrease in brightness was detected in five segments, which can be interpreted as a result of mutual phenomena (eclipses and occultations) of the primary and secondary components. The recurrence period of the phenomena (the orbital period of the asteroid's satellite) is 17.418 ± 0.006 or 34.836 ± 0.008 h. In the segments of the lightcurve located outside the supposed mutual phenomena, brightness variations were detected, presumably caused by the axial rotation of the satellite with a period of PSat = 1.932 ± 0.003 h. Taking into account the above values obtained from the observations, a numerical model of the binary system was constructed. The selection of its parameters showed that ten variants of the set of parameters are possible, satisfying the observational data: ratio of the sizes of the components, the satellite's orbital period, its orbital inclination (±14°, ±18°, ±21°), the direction of revolution relative to the rotation of the main component and the type of observed mutual phenomena (frontal or back. A forecast was made of the time intervals in which mutual phenomena in the system of components of the asteroid should be expected in the upcoming period of its observability (September–December 2025).
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