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inzicht - Planetary Science - # Resonant dynamics of Hilda asteroids in the context of a free-floating planet flyby

Resonant Amplitude Distribution of Hilda Asteroids Explained by a Free-Floating Planet Flyby Scenario


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The observed distinct patterns in the resonant amplitude distribution of Hilda asteroids can be quantitatively explained by the flyby of a free-floating planet that triggers a rapid outward migration of Jupiter and the associated shift in the 3:2 Jovian mean motion resonance.
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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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"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 FFP flyby can trigger an extremely rapid outward migration of Jupiter, causing a sudden shift in the 3:2 Jovian resonance."
Citaten
"The observed desert in the smallest-A region of the Hildas should be reliable." "The FFP flyby scenario is nearly independent of the initial range of resonant amplitudes of the Hildas. As long as a population with A > 60° exists, the FFP flyby can always produce the A-distribution that does not contradict observations."

Diepere vragen

How would the resonant amplitude distribution of Hilda asteroids be affected if the free-floating planet had a different mass, eccentricity, or inclination?

The resonant amplitude distribution of Hilda asteroids is sensitive to the parameters of the free-floating planet (FFP) that interacts with Jupiter. If the FFP had a different mass, a more massive FFP could induce a stronger perturbation on Jupiter, potentially leading to a more significant outward migration. This could result in a broader shift of the 3:2 Jovian resonance, affecting the resonant amplitude distribution by allowing more Hilda asteroids to occupy lower resonant amplitudes (A < 40°) than currently observed. Conversely, a less massive FFP might not trigger sufficient migration, maintaining the current distribution patterns. The eccentricity of the FFP also plays a crucial role. A higher eccentricity could lead to a more dynamic interaction during the flyby, resulting in a rapid and pronounced shift in Jupiter's orbit. This could enhance the likelihood of Hilda asteroids transitioning to lower resonant amplitudes due to the sudden change in the resonant center. On the other hand, a lower eccentricity might result in a gentler perturbation, preserving the existing distribution of resonant amplitudes. Inclination is another important factor. A highly inclined FFP could introduce complex gravitational interactions, potentially affecting the stability of Hilda orbits and leading to a more chaotic resonant amplitude distribution. The inclination could also influence the extent of the perturbation experienced by Jupiter, thereby altering the resonant patterns of Hilda asteroids.

What other asteroid populations in the Solar System could potentially show signatures of a free-floating planet flyby, and how could these be investigated?

Other asteroid populations that could exhibit signatures of a free-floating planet (FFP) flyby include the Centaur objects, the Kuiper Belt Objects (KBOs), and the Trojans of other planets, such as Neptune. Each of these populations resides in regions of the Solar System where gravitational interactions with a passing FFP could lead to observable dynamical changes. To investigate these populations, researchers could employ numerical simulations similar to those used for the Hilda asteroids. By modeling the gravitational effects of a hypothetical FFP flyby on these populations, scientists can analyze changes in their orbital parameters, such as eccentricity, inclination, and resonant amplitude distributions. Observational data from telescopes could also be utilized to identify anomalies in the distributions of these asteroid populations, such as unexpected gaps or clustering in certain regions of the parameter space. Additionally, the study of the dynamical evolution of these populations over time could reveal historical interactions with FFPs. By comparing current distributions with theoretical models of their formation and evolution, researchers can infer the potential impact of past FFP flybys.

Could the rapid outward migration of Jupiter triggered by a free-floating planet flyby have broader implications for the early dynamical evolution of the Solar System?

Yes, the rapid outward migration of Jupiter triggered by a free-floating planet (FFP) flyby could have significant implications for the early dynamical evolution of the Solar System. Such a migration could alter the gravitational interactions among the giant planets, potentially leading to a reconfiguration of their orbits. This could affect the stability of the entire planetary system, influencing the formation and evolution of smaller bodies, including asteroids and comets. The outward jump of Jupiter could also impact the distribution of material in the protoplanetary disk, affecting the formation of terrestrial planets and the distribution of icy bodies in the outer Solar System. This migration might lead to the scattering of smaller bodies, contributing to the current architecture of the asteroid belt and the Kuiper Belt. Furthermore, the interaction with an FFP could provide insights into the processes that govern planetary migration and instability in other planetary systems. By understanding how a flyby event can reshape the dynamics of a planetary system, researchers can draw parallels with exoplanetary systems, enhancing our knowledge of planetary formation and evolution across the galaxy.
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