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Stellar activity remains a limiting factor in measuring precise planet parameters from radial velocity spectroscopy, not least in the search for Earth mass planets orbiting in the habitable zones of Sun-like stars. One approach to mitigate…

Earth and Planetary Astrophysics · Physics 2020-05-27 Molly R. Kosiarek , Ian J. M. Crossfield

The measured properties of stellar oscillations can provide powerful constraints on the internal structure and composition of stars. To begin this process, oscillation frequencies must be extracted from the observational data, typically…

Solar and Stellar Astrophysics · Physics 2009-11-13 Brendon J. Brewer , Dennis Stello

Stellar variability impacts radial velocities at various timescales and therefore the detectability of exoplanets and the mass determination based on this technique. It is necessary to implement systematic studies, to delineate the current…

Earth and Planetary Astrophysics · Physics 2023-08-16 Nadège Meunier , Romain Pous , Sophia Sulis , David Mary , Anne-Marie Lagrange

Stellar activity, such as starspots, can induce radial velocity (RV) variations that can mask or even mimic the RV signature of orbiting exoplanets. For this reason RV exoplanet surveys have been unsuccessful when searching for planets…

Earth and Planetary Astrophysics · Physics 2015-06-12 V. E. Moulds , C. A. Watson , X. Bonfils , S. P. Littlefair , E. K. Simpson

Many real world problems exhibit patterns that have periodic behavior. For example, in astrophysics, periodic variable stars play a pivotal role in understanding our universe. An important step when analyzing data from such processes is the…

Machine Learning · Computer Science 2012-08-20 Yuyang Wang , Roni Khardon , Pavlos Protopapas

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

Radial velocity (RV) detection of planets is hampered by astrophysical processes on the surfaces of stars that induce a stochastic signal, or "jitter", which can drown out or even mimic planetary signals. Here, we empirically and carefully…

Earth and Planetary Astrophysics · Physics 2020-04-30 Jacob K. Luhn , Jason T. Wright , Andrew W. Howard , Howard Isaacson

Variations related to stellar activity and correlated noise can prevent the detections of low-amplitude signals in radial velocity data if not accounted for. This can be seen as the greatest obstacle in detecting Earth-like planets orbiting…

Earth and Planetary Astrophysics · Physics 2014-05-09 Mikko Tuomi , Guillem Anglada-Escude , James S. Jenkins , Hugh R. A. Jones

The observed orbits of emission-line stars may be affected by systematics owing to their broad emission lines being formed in complex and extended environments. This is problematic when orbital parameter probability distributions are…

Solar and Stellar Astrophysics · Physics 2021-10-22 David Grant , Katherine Blundell

Motion systems are often subject to disturbances such as cogging, commutation errors, and imbalances, that vary with velocity and appear periodic in time for constant operating velocities. The aim of this paper is to develop a repetitive…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Noud Mooren , Gert Witvoet , Tom Oomen

The radial velocity signature of stellar noise is small, around the meter-per-second, but already too much for the detection of Earth mass planets in habitable zones. In this paper, we address the important role played by observational…

Earth and Planetary Astrophysics · Physics 2015-05-20 Xavier Dumusque , Stephane Udry , Christophe Lovis , Nuno C. Santos , Mario J. F. P. G. Monteiro

The use of Gaussian processes (GPs) is a common approach to account for correlated noise in exoplanet time series, particularly for transmission and emission spectroscopy. This analysis has typically been performed for each wavelength…

Earth and Planetary Astrophysics · Physics 2024-06-05 Mark Fortune , Neale P. Gibson , Daniel Foreman-Mackey , Thomas M. Evans-Soma , Cathal Maguire , Swaetha Ramkumar

The detection of periodic signals in irregularly-sampled time series is a problem commonly encountered in astronomy. Traditional tools used for periodic searches, such as the periodogram, have poorly defined statistical properties under…

Instrumentation and Methods for Astrophysics · Physics 2025-01-13 A. Gúrpide , M. Middleton

The detection of exoplanets with the radial velocity method consists in detecting variations of the stellar velocity caused by an unseen sub-stellar companion. Instrumental errors, irregular time sampling, and different noise sources…

Earth and Planetary Astrophysics · Physics 2023-09-06 L. A. Nieto , R. F. Díaz

Stellar variability is a key obstacle in reaching the sensitivity required to recover Earth-like exoplanetary signals using the radial velocity (RV) detection method. To explore activity signatures in Sun-like stars, we present SolAster, a…

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

Statistics Theory · Mathematics 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

Machine Learning · Computer Science 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

Machine Learning · Computer Science 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

A Gaussian process (GP)-based methodology is proposed to emulate complex dynamical computer models (or simulators). The method relies on emulating the numerical flow map of the system over an initial (short) time step, where the flow map is…

Methodology · Statistics 2024-11-26 Hossein Mohammadi , Peter Challenor , Marc Goodfellow

This work is part of an ongoing project which aims to detect terrestrial planets in our neighbouring star system $\alpha$ Centauri using the Doppler method. Owing to the small angular separation between the two components of the $\alpha$…

Earth and Planetary Astrophysics · Physics 2014-12-22 Christoph Bergmann , Michael Endl , John B. Hearnshaw , Robert A. Wittenmyer , Duncan J. Wright
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