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

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.

5 pages, 8 figures (accepted for publication in MNRAS Letters)

References in corpus (5)

• Measuring and testing dependence by correlation of distances
• The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms
• Taking the Measure of the Universe: Precision Astrometry with SIM PlanetQuest
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Cited by in corpus (4)

• USuRPER: Unit-Sphere Representation PERiodogram for full spectra
• New Periodograms Separating Orbital Radial Velocities and Spectral Shape Variation
• Adaptation of the Phase Distance Correlation Periodogram to Account for Measurement Uncertainties
• Model Independent Periodogram for Scanning Astrometry