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(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

We take a different look at the problem of testing the independence of two metric-space-valued random variables using the distance correlation. Instead of testing if the distance correlation vanishes exactly, we are interested in the…

Statistics Theory · Mathematics 2025-11-19 Holger Dette , Marius Kroll

Detecting the angles and orbits of remote targets precisely has been playing crucial roles in astrophysical research. Due to the resolution limitations imposed by the Airy disk in a single telescope, optical interferometric schemes with at…

Instrumentation and Methods for Astrophysics · Physics 2025-02-12 Yi-Xin Shen , Zhou-Kai Cao , Jian Leng , Xiang-Bin Wang

This letter presents a dual quadrature phasemeter, an implementation of a phase-locked loop designed to track the phase of homodyne and heterodyne inter-satellite laser links. The dual quadrature phasemeters use dual quadrature optical…

Optics · Physics 2024-10-30 Callum S. Sambridge , Kirk McKenzie

We describe work in progress by a collaboration of astronomers and statisticians developing a suite of Bayesian data analysis tools for extrasolar planet (exoplanet) detection, planetary orbit estimation, and adaptive scheduling of…

Instrumentation and Methods for Astrophysics · Physics 2018-05-11 Thomas J. Loredo , James O. Berger , David F. Chernoff , Merlise A. Clyde , Bin Liu

We introduce a new method for testing departure from isotropy of points on a sphere based on an enhanced form of the two-point correlation function that we named 2pt+. This method uses information from the two extra variables that define…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-22 M. Ave , L. Cazon , J. Cronin , J. R. T. de Mello Neto , A. V. Olinto , V. Pavlidou , P. Privitera , B. B. Siffert , F. Schmidt , T. Venters

We show that distances of objects at cosmological distances can be measured directly using interferometry. Our approach to interferometric parallax comes from analysis of 4-point amplitude and intensity correlations that can be generated…

Astrophysics · Physics 2008-11-26 Pankaj Jain , John P. Ralston

By design, model-based approaches for flagging transiting exoplanets in light curves, such as boxed least squares, excel at detecting planets with low S/N at the expense of finding signals that are not well described by the assumed model,…

Earth and Planetary Astrophysics · Physics 2019-03-28 Adam Wheeler , David Kipping

Over the course of several years, stars trace helical trajectories as they traverse across the sky due to the combined effects of proper motion and parallax. It is well known that the gravitational pull of an unseen companion can cause…

Solar and Stellar Astrophysics · Physics 2023-07-05 Jeff J. Andrews , Katelyn Breivik , Chirag Chawla , Carl Rodriguez , Sourav Chatterjee

The Hipparcos catalog and its Double and Multiple System Annex (DMSA) lists 4099 components with individual proper motions and coordinates on the epoch 1991.25. Many of these long-period binary stars are also present in the Gaia Data…

Solar and Stellar Astrophysics · Physics 2020-12-02 Valeri V. Makarov

The timing method, using either stellar pulsations or eclipse timing of close binaries as a clock, is proving to be an efficient way to detect planets around stars that have evolved beyond the red giant branch. In this article we present a…

Earth and Planetary Astrophysics · Physics 2015-03-17 Roberto Silvotti , Robert Szabo , Pieter Degroote , Roy H. Ostensen , Sonja Schuh

The probability of the detection of Earth-like exoplanets may increase in the near future after the launch of the space missions using the transit photometry as observation method. By using this technique only the semi-major axis of the…

Astrophysics · Physics 2009-11-11 Zsolt Sandor

This paper introduces a novel periodogram-like function, called the expectile periodogram, for modeling spectral features of time series and detecting hidden periodicities. The expectile periodogram is constructed from trigonometric…

Methodology · Statistics 2026-02-10 Tianbo Chen , Ta-Hsin Li , Hanbing Zhu , Wenwu Gao

In its all-sky survey, Gaia will monitor astrometrically hundreds of thousands of main-sequence stars within $\approx200$ pc, looking for the presence of giant planetary companions within a few AUs from their host stars. Indeed, Gaia…

Earth and Planetary Astrophysics · Physics 2012-01-18 A. Sozzetti

Context. The next generation of space-borne instruments dedicated to the direct detection of exoplanets requires unprecedented levels of wavefront control precision. Coronagraphic wavefront sensing techniques for these instruments must…

Instrumentation and Methods for Astrophysics · Physics 2018-07-20 Olivier Herscovici-Schiller , Laurent M. Mugnier , Pierre Baudoz , Raphaël Galicher , Jean-François Sauvage , Baptiste Paul

Differential astrometry measurements from the Palomar High-precision Astrometric Search for Exoplanet Systems have been combined with lower precision single-aperture measurements covering a much longer timespan (from eyepiece measurements,…

The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each other: the draconitic, anomalistic and sidereal periods. They all coincide in the Keplerian…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Lorenzo Iorio

In $\gamma$ Doradus stars, the g-mode period spacing shows an approximately linear relation with period. The slope is a new asteroseismic diagnostic, related to the rotation rate and the azimuthal order $m$. We report two automated methods,…

Solar and Stellar Astrophysics · Physics 2018-10-17 Gang Li , Timothy R. Bedding , Simon J. Murphy , Timothy Van Reeth , Victoria Antoci , Rhita-Maria Ouazzani

Continuous and precise space-based photometry has made it possible to measure the orbital frequency modulation of pulsating stars in binary systems with extremely high precision over long time spans. Frequency modulation caused by binary…

Solar and Stellar Astrophysics · Physics 2015-08-19 Hiromoto Shibahashi , Donald W. Kurtz , Simon J. Murphy

The amount of sparse asteroid photometry being gathered by both space- and ground-based surveys is growing exponentially. This large volume of data poses a computational challenge owing to both the large amount of information to be…