Model Independent Periodogram for Scanning Astrometry
arXiv:2306.05063 · doi:10.1051/0004-6361/202245803
Abstract
We present a new periodogram for periodicity detection in one-dimensional time-series data from scanning astrometry space missions, like Hipparcos or Gaia. The periodogram is non-parametric and does not rely on a full or approximate orbital solution. Since no specific properties of the periodic signal are assumed, the method is expected to be suitable for the detection of various types of periodic phenomena, from highly eccentric orbits to periodic variability-induced movers. The periodogram is an extension of the phase-distance correlation periodogram (PDC) we introduced in previous papers based on the statistical concept of distance correlation. We demonstrate the performance of the periodogram using publicly available Hipparcos data, as well as simulated data. We also discuss its applicability for Gaia epoch astrometry, to be published in the future data release 4 (DR4).
arXiv comment7 pages, 4 figures. A&A accepted
References in corpus (26)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- The Gaia mission
- Gaia Data Release 3: Summary of the content and survey properties
- Validation of the new Hipparcos reduction
- Measuring and testing dependence by correlation of distances
- The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms
- Gaia Data Release 3: Stellar multiplicity, a teaser for the hidden treasure
- Distance covariance in metric spaces
- Gaia Data Release 3. Astrometric binary star processing
- Gaia DR3 astrometric orbit determination with Markov Chain Monte Carlo and Genetic Algorithms. Systems with stellar, substellar, and planetary mass companions
- Mass constraints on substellar companion candidates from the re-reduced Hipparcos intermediate astrometric data: Nine confirmed planets and two confirmed brown dwarfs
- The mass of the young planet Pictoris b through the astrometric motion of its host star
- The Chi-Square Test of Distance Correlation
- Analysis of the Hipparcos Observations of the Extrasolar Planets and the Brown-Dwarf Candidates
- Analysis of The Hipparcos Measurements of HD10697 - A Mass Determination of a Brown-Dwarf Secondary
- Astrometric Orbits for Hipparcos Stochastic Binaries
- Gaia Data Release 3: Gaia scan-angle dependent signals and spurious periods
- Hipparcos preliminary astrometric masses for the two close-in companions to HD 131664 and HD 43848. A brown dwarf and a low mass star
- Analysis of The Hipparcos Measurements of Upsilon Andromedae - A Mass Estimate of Its Outermost Known Planetary Companion
- Detection of Periodicity Based on Independence Tests - III. Phase Distance Correlation Periodogram
- USuRPER: Unit-Sphere Representation PERiodogram for full spectra
- Analytical determination of orbital elements using Fourier analysis. II. Gaia astrometry and its combination with radial velocities
- New Periodograms Separating Orbital Radial Velocities and Spectral Shape Variation
- Local effects in astrometric binary orbits: perspective transformation and light-travel time
- Detection of Periodicity Based on Independence Tests - IV. Phase Distance Correlation Periodogram for Two-Dimensional Astrometry