Sky-plane projection of moons orbiting (216) Kleopatra, with the observed position of the occultation (black circle) from October 10, 1980, and the corresponding chord (dashed line) from Descamps et al. (2011). For comparison, both inner and outer moon orbits are plotted (green, blue; bodies 2, 3). The projected orbital velocity is indicated by an arrow. The ephemeris with constant osculating periods derived from adaptive-optics datasets (2008–2018) is offset by ~ 60° in the true longitude λ₂ (black cross, orange line). This offset corresponds to a shorter orbital period P₂ in the past.