Detection of Periodicity Based on Independence Tests - IV. Phase Distance Correlation Periodogram for Two-Dimensional Astrometry
arXiv:1812.07928 · doi:10.1093/mnrasl/sly237
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.
arXiv comment5 pages, 8 figures (accepted for publication in MNRAS Letters)
References in corpus (12)
- 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
- Digging into NGC 6334I(N): Multiwavelength Imaging of a Massive Protostellar Cluster
- Astrometric Detection of Terrestrial Planets in the Habitable Zones of Nearby Stars with SIM PlanetQuest
- How many Hipparcos Variability-Induced Movers are genuine binaries?
- Stellar Metallicities and Kinematics in a Gas-Rich Dwarf Galaxy: First Calcium Triplet Spectroscopy of RGB Stars in WLM
- The Carnegie Astrometric Planet Search Program
- Detecting non-sinusoidal periodicities in observational data using multi-harmonic periodograms
- Detection of Periodicity Based on Independence Tests - III. Phase Distance Correlation Periodogram
- Detection of Periodicity Based on Serial Dependence of Phase-Folded Data
- Detection of Periodicity Based on Independence Tests - II. Improved Serial Independence Measure