# Resonance capture at arbitrary inclination: II. Effect of the radial drift rate

## TL;DR

This study investigates how the radial drift rate influences the probability of particles being captured into mean motion resonances at various inclinations, revealing complex dependencies and unexpected high-probability capture corridors.

## Contribution

It provides a comprehensive numerical analysis of resonance capture across different inclinations and drift rates, highlighting new dynamical pathways and the impact of eccentricity.

## Key findings

- Slower drift rates decrease overall capture probability for prograde orbits.
- High order resonances can have increased capture at specific inclinations.
- A dynamical corridor exists for high-probability capture in certain prograde inclinations.

## Abstract

The effect of radial drift rate on mean motion resonance capture is studied for prograde, polar and retrograde orbits. We employ the numerical framework of our earlier exploration of resonance capture at arbitrary inclination. Randomly constructed samples of massless particles are set to migrate radially from outside the orbit of a Jupiter-mass planet at different drift rates totalling more than $1.6\times 10^6$ numerical simulations. Slower drift rates reduce overall capture probability especially for prograde orbits and enhance capture at specific initial inclinations of high order resonances such as the outer 1:5, 1:4, 1:3, 2:5, 3:7 and 5:7. Global capture is reduced with increasing eccentricity at all inclinations as high order resonances capture more particles that are subsequently lost by disruptive close encounters with the planet. The relative efficiency of retrograde resonances at long-lived capture with respect to prograde resonances is explained by the reduced effect of planet encounters as such events occur with a shorter duration and a higher relative velocity for retrograde motion. Capture in the coorbital 1:1 resonance is marginally affected by the radial drift rate except for nearly coplanar retrograde eccentric orbits whose capture likelihood is increased significantly with slower drift rates. An unexpected finding is the presence of a dynamical corridor for capture in high order inner prograde resonances with initial inclinations in the range [50$^\circ$,80$^\circ$] especially at the inner 5:2 resonance whose capture likelihood peaks at 80% to 90% depending on initial eccentricity.