Asymmetry in the number of L4 and L5 Jupiter Trojans driven by jumping Jupiter

TL;DR

This study proposes that the jumping-Jupiter scenario, involving rapid outward migration of Jupiter, can explain the observed asymmetry in the number of L4 and L5 Jupiter Trojans by affecting their orbital stability.

Contribution

The paper introduces a new mechanism linking Jupiter's rapid outward migration to the L4/L5 Trojan asymmetry, supported by simulations and parameter analysis.

Findings

Jupiter's jump can increase L4 Trojan stability over L5.

The mechanism explains the observed N4/N5 ratio of about 1.6.

Resonant amplitude discrepancies suggest collisional damping may occur.

Abstract

Context. More than 10000 Jupiter Trojans have been detected so far. They are moving around the L4 and L5 triangular Lagrangian points of the Sun-Jupiter system and their distributions can provide important clues to the early evolution of the Solar System. Aims. The number asymmetry of the L4 and L5 Jupiter Trojans is a longstanding problem. We aim to test a new mechanism in order to explain this anomalous feature by invoking the jumping-Jupiter scenario. Methods. First, we introduce the orbital evolution of Jupiter caused by the giant planet instability in the early Solar System. In this scenario, Jupiter could undergo an outward migration at a very high speed. We then investigate how such a jump changes the numbers of the L4 (N4) and L5 (N5) Trojans. Results. The outward migration of Jupiter can distort the co-orbital orbits near the Lagrangian points, resulting in L4 Trojans being more stable than the L5 ones. We find that, this mechanism could potentially explain the unbiased number asymmetry of N4/N5~1.6 for the known Jupiter Trojans. The uncertainties of the system parameters, e.g. Jupiter's eccentricity and inclination, the inclination distribution of Jupiter Trojans, are also taken into account and our results about the L4/L5 asymmetry have been further validated. However, the resonant amplitudes of the simulated Trojans are excited to higher values compared to the current population. A possible solution is that collisions among the Trojans may reduce their resonant amplitudes.