# Coorbital capture at arbitrary inclination

## TL;DR

This study investigates the likelihood of asteroids being captured in a planet's coorbital region, revealing that retrograde captures are intrinsically more efficient and that many asteroids cross this region regardless of their eccentricity or inclination.

## Contribution

It provides a comprehensive statistical analysis of coorbital capture probabilities across a wide range of asteroid inclinations and eccentricities, highlighting the intrinsic efficiency of retrograde captures.

## Key findings

- Retrograde capture is more efficient than prograde capture.
- Half of the asteroids cross the coorbital region regardless of eccentricity and inclination.
- Asteroid 2015 BZ509 lies near the peak capture efficiency for its orbital parameters.

## Abstract

The process of capture in the coorbital region of a solar system planet is studied. Absolute capture likelihood in the 1:1 resonance is determined by randomly constructed statistical ensembles numbering $7.24\times 10^5$ of massless asteroids that are set to migrate radially from the outer to the inner boundaries of the coorbital region of a Jupiter-mass planet. Orbital states include coorbital capture, ejection, collisions with the Sun and the planet and free-crossing of the coorbital region. The relative efficiency of retrograde capture with respect to prograde capture is confirmed as an intrinsic property of the coorbital resonance. Half the asteroids cross the coorbital region regardless of eccentricity and for any inclination less than $120^\circ$. We also find that the recently discovered retrograde coorbital of Jupiter, asteroid 2015 BZ509, lies almost exactly at the capture efficiency peak associated with its orbital parameters.