# Orbital clustering in the distant solar system

## TL;DR

This paper rigorously analyzes observational biases in distant Kuiper belt objects and finds that their clustering in orbital parameters is statistically significant, supporting the hypothesis of an unseen massive planet.

## Contribution

It introduces a new method to quantify observational biases and demonstrates that the observed clustering is unlikely due to bias alone, strengthening the case for Planet Nine.

## Key findings

- Observed clustering probability is only 0.2%.
- Bias alone cannot explain the clustering.
- Supports existence of an unseen distant planet.

## Abstract

The most distant Kuiper belt objects appear to be clustered in longitude of perihelion and in orbital pole position. To date, the only two suggestions for the cause of these apparent clusterings have been either the effects of observational bias or the existence of the distant giant planet in an eccentric inclined orbit known as Planet Nine. To determine if observational bias can be the cause of these apparent clusterings, we develop a rigorous method of quantifying the observational biases in the observations of longitude of perihelion and orbital pole position. From this now more complete understanding of the biases we calculate that the probability that these distant Kuiper belt objects would be clustered as strongly as observed in both longitude of perihelion and in orbital pole position is only 0.2%. While explanations other than Planet Nine may someday be found, the statistical significance of this clustering is now difficult to discount.