Resonant amplitude distribution of the Hilda asteroids and the free-floating planet flyby scenario

TL;DR

This paper investigates how a free-floating planet flyby could explain the unique resonant amplitude distribution of Hilda asteroids, supporting a recent hypothesis about Solar System evolution.

Contribution

It demonstrates that a free-floating planet flyby can cause rapid Jupiter migration, altering Hilda asteroid resonant amplitudes and explaining observed patterns not accounted for by previous models.

Findings

FFP flyby causes rapid outward Jupiter migration

Resonant amplitude patterns are consistent across models

Constraints on FFP parameters based on asteroid data

Abstract

In some recent work, we provided a quantitative explanation for the number asymmetry of Jupiter Trojans by hypothesizing a free-floating planet (FFP) flyby into the Solar System. In support of that explanation, this paper examines the influence of the same FFP flyby on the Hilda asteroids, which orbit stably 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 deg. at eccentricities < 0.1; (2) a nearly complete absence of Hildas with amplitudes < 20 deg., regardless of eccentricity. Previous models of Jupiter migration and resonance capture could account for the eccentricity distribution of Hildas but have failed to replicate the unusual absence of those with the smallest resonant amplitudes, which theoretically should be the most stable. Here we report 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. We additionally show that, in our FFP flyby scenario, these patterns are consistently present across different resonant amplitude distributions of primordial Hildas arising from various formation models. We also 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 deg. or higher, and a minimum mass of about 50 Earth masses.