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Hidden within the Gaia satellite's multiple data releases lies a valuable cache of dark companions. To facilitate the efficient and reliable detection of these companions via combined analyses involving Gaia, Hipparcos, and Tycho-2…

Solar and Stellar Astrophysics · Physics 2024-02-08 Fabo Feng , Yicheng Rui , Yifan Xuan , Hugh R. A. Jones

Access to microarcsecond astrometry is now routine in the radio, infrared, and optical domains. In particular the publication of the second data release from the Gaia mission made it possible for every astronomer to work with easily…

Instrumentation and Methods for Astrophysics · Physics 2021-09-17 Anthony G. A. Brown

We consider the so-called Keplerian periodogram, in which the putative detectable signal is modelled by a highly non-linear Keplerian radial velocity function, appearing in Doppler exoplanetary surveys. We demonstrate that for planets on…

Instrumentation and Methods for Astrophysics · Physics 2014-10-29 Roman V. Baluev

Light curves of astrophysical objects frequently contain strictly periodic signals. In those cases we can use that property to aid the detrending algorithm to fully disentangle an unknown periodic signal and an unknown baseline signal with…

Instrumentation and Methods for Astrophysics · Physics 2019-05-01 Andrej Prsa , Moses Zhang , Mark Wells

The search for radio signals from exoplanets or star-planet interactions is a topic of major scientific interest, as it is likely the best way to detect and measure a planetary magnetic field and, therefore, to probe the inner structure of…

Earth and Planetary Astrophysics · Physics 2026-03-11 C. K. Louis , A. Loh , P. Zarka , L. Lamy , E. Mauduit , J. N. Girard , J. -M. Griessmeier , B. Cecconi , Q. Nénon , S. Corbel

With the advent of optical interferometers that will be coming online in the next decade, radial velocity searches for extra-solar planets will be complemented by high angular resolution astrometric measurements. In this paper, we explore…

Astrophysics · Physics 2009-11-06 J. A. Eisner , S. R. Kulkarni

Direct imaging searches for exoplanets around stars detect many spurious candidates that are in fact background field stars. To help distinguish these from genuine companions, multi-epoch astrometry can be used to identify a common proper…

Earth and Planetary Astrophysics · Physics 2023-12-11 Philipp Herz , Matthias Samland , Coryn A. L. Bailer-Jones

Hipparcos, the first ever experiment of global astrometry, was launched by ESA in 1989 and its results published in 1997 (Perryman et al., Astron. Astrophys. 323, L49, 1997; Perryman & ESA (eds), The Hipparcos and Tycho catalogues, ESA…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Catherine Turon , Xavier Luri , Eduard Masana

We propose a novel approach to utilize low-cadence photometric surveys for exoplanetary transit search. Even if transits are undetectable in the survey database alone, it can still be useful for finding preferred times for directed…

Earth and Planetary Astrophysics · Physics 2015-05-28 Yifat Dzigan , Shay Zucker

The two most successful methods for exoplanet detection rely on the detection of planetary signals in photometric and radial velocity time-series. This depends on numerical techniques that exploit the synergy between data and theory to…

Earth and Planetary Astrophysics · Physics 2021-11-23 Oscar Barragán , Suzanne Aigrain , Vinesh M. Rajpaul , Norbert Zicher

The hunt for Earth analogue planets orbiting Sun-like stars has forced the introduction of novel methods to detect signals at, or below, the level of the intrinsic noise of the observations. We present a new global periodogram method that…

Earth and Planetary Astrophysics · Physics 2015-06-19 James S. Jenkins , Nestor Becerra Yoma , Patricio Rojo , Rodrigo Mahu , Jorge Wuth

We present a method that allows to distinguish between nearly periodic and strictly periodic time series. To this purpose, we employ a conservative criterion for periodicity, namely that the time series can be interpolated by a periodic…

Data Analysis, Statistics and Probability · Physics 2015-11-11 Gerrit Ansmann

New time-series analysis tools are needed in disciplines as diverse as astronomy, economics and meteorology. In particular, the increasing rate of data collection at multiple wavelengths requires new approaches able to handle these data.…

Instrumentation and Methods for Astrophysics · Physics 2021-01-05 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

Astrometry from the Gaia satellite and from the long-term combination of Hipparcos and Gaia are now sensitive to sky-plane accelerations as low as $\approx$1 m/s/yr. This paper quantifies and explores an important caveat: apparent nonlinear…

Solar and Stellar Astrophysics · Physics 2026-01-22 Timothy D Brandt

(Abridged) The probability of detecting additional companions is essentially unchanged with respect to the single-planet configurations, but after fitting and subtraction of orbits with astrometric signal-to-noise ratio $\alpha/\sigma_d\to…

Astrophysics · Physics 2009-11-07 A. Sozzetti , S. Casertano , R. A. Brown , M. G. Lattanzi

The Lomb-Scargle periodogram is a common tool in the frequency analysis of unequally spaced data equivalent to least-squares fitting of sine waves. We give an analytic solution for the generalisation to a full sine wave fit, including an…

Instrumentation and Methods for Astrophysics · Physics 2009-11-13 M. Zechmeister , M. Kürster

Nonlinear dynamic volatility has been observed in many financial time series. The recently proposed quantile periodogram offers an alternative way to examine this phenomena in the frequency domain. The quantile periodogram is constructed…

Statistical Finance · Quantitative Finance 2026-03-26 Ta-Hsin Li

Multiple-frequency periodograms -- based on time series models consisting of two or more independent sinusoids -- have long been discussed. What is new here is the presentation of a practical, simple-to-use computational framework…

Instrumentation and Methods for Astrophysics · Physics 2026-01-09 Jeffrey D. Scargle , Sarah Wagner

In this paper we develop a differential astrometric framework that is appropriate for a scanning space satellite such as Gaia. We apply it to the first of the GAREQ fields, which is the fruit of dedicated efforts within the Gaia project…

Astrophysics of Galaxies · Physics 2022-08-24 U. Abbas , B. Bucciarelli , M. G. Lattanzi , M. Crosta , R. Morbidelli , D. Busonero , L. Bramante , R. Messineo

ESA recently called for new "Science Ideas" to be investigated in terms of feasibility and technological developments -- for technologies not yet sufficiently mature. These ideas may in the future become candidates for M or L class missions…