The paper examines the influence of a free-floating planet (FFP) flyby on the Hilda asteroids, which orbit in the 3:2 mean motion resonance with Jupiter. The observed Hilda population exhibits two distinct resonant patterns: (1) a lack of Hildas with resonant amplitudes < 40° at eccentricities < 0.1; (2) a nearly complete absence of Hildas with amplitudes < 20°, regardless of eccentricity.
The authors demonstrate that the FFP flyby can trigger an extremely rapid outward migration of Jupiter, causing a sudden shift in the 3:2 Jovian resonance. Consequently, Hildas with varying eccentricities would have their resonant amplitudes changed by different degrees, leading to the observed resonant patterns.
The authors also show that these patterns are consistently present across different resonant amplitude distributions of primordial Hildas arising from various formation models. They place constraints on the potential parameters of the FFP, suggesting it should have an eccentricity of 1-1.3 or larger, an inclination up to 30° or higher, and a minimum mass of about 50 Earth masses.
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