# Detection of Periodicity Based on Independence Tests - IV. Phase Distance Correlation Periodogram for Two-Dimensional Astrometry

## TL;DR

This paper introduces a phase distance correlation periodogram for two-dimensional astrometric data, improving detection of eccentric orbits and reducing bias towards circular orbits, which is crucial for future space missions.

## Contribution

The paper extends the phase distance correlation periodogram to 2D astrometry, enhancing orbit detection accuracy and bias correction over previous methods.

## Key findings

- More effective for eccentric orbit detection
- Reduces bias towards circular orbits
- Potentially vital for future astrometric missions

## Abstract

I present an extension of the phase distance correlation periodogram to two-dimensional astrometric data. I show that this technique is more suitable than previously proposed approaches to detect eccentric Keplerian orbits, and that it overcomes the inherent bias of the joint periodogram to circular orbits. This new technique might prove to be essential in the context of future astrometric space missions such as Theia.