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Context. Kepler-17 is a G2V sun-like star accompanied by a transiting planet with a mass of ~2.5 Jupiter masses and an orbital period of 1.486 d, recently discovered by the Kepler space telescope. This star is highly interesting as a young…

Earth and Planetary Astrophysics · Physics 2015-06-11 Aldo S. Bonomo , Antonino F. Lanza

Accounting for the effects of stellar magnetic phenomena is indispensable to fully exploit radial velocities (RVs). Correlated time variations are often mitigated by Gaussian processes (GP). They rely on fitting kernel functions that are…

Earth and Planetary Astrophysics · Physics 2021-01-13 Manuel Perger , Guillem Anglada-Escudé , Ignasi Ribas , Albert Rosich , Enrique Herrero , Juan Carlos Morales

Physically motivated Gaussian process (GP) kernels for stellar variability, like the commonly used damped, driven simple harmonic oscillators that model stellar granulation and p-mode oscillations, quantify the instantaneous covariance…

Instrumentation and Methods for Astrophysics · Physics 2026-05-14 Jacob K. Luhn , Ryan A. Rubenzahl , Samuel Halverson , Lily L. Zhao

Analyses of quasi-periodic oscillations (QPOs) are important to understanding the dynamic behaviour in many astrophysical objects during transient events like gamma-ray bursts, solar flares, magnetar flares and fast radio bursts.…

Instrumentation and Methods for Astrophysics · Physics 2022-08-31 M. Hübner , D. Huppenkothen , P. D. Lasky , A. R. Inglis , C. Ick , D. W. Hogg

Gaussian processes (GPs) described by quasi-periodic covariance functions have in recent years become a widely used tool to model the impact of stellar activity on radial velocity (RV) measurements. We perform a GP regression analysis on…

Solar and Stellar Astrophysics · Physics 2025-01-07 Federica Rescigno , Khaled Al Moulla

The Kepler space telescope leaves a legacy of tens of thousands of stellar rotation period measurements. While many of these stars show strong periodicity, there exists an even bigger fraction of stars with irregular variability for which…

Solar and Stellar Astrophysics · Physics 2023-10-04 Timo Reinhold , Alexander I. Shapiro , Sami K. Solanki , Gibor Basri

Developments in the stability of modern spectrographs have led to extremely precise instrumental radial velocity (RV) measurements. For most stars, the detection limit of planetary companions with these instruments is expected to be…

Earth and Planetary Astrophysics · Physics 2023-06-28 Quang H. Tran , Megan Bedell , Daniel Foreman-Mackey , Rodrigo Luger

We present an updated catalog of stellar rotation periods for the 2.5 Gyr open cluster NGC 6819 using the Kepler IRIS light curves from superstamp data. Our analysis uses Gaussian Process modeling to extract robust rotation signals from…

Solar and Stellar Astrophysics · Physics 2025-10-03 Sabina Sagynbayeva , Isabel L. Colman , Will M. Farr

Stellar photospheric activity is known to limit the detection and characterisation of extra-solar planets. In particular, the study of Earth-like planets around Sun-like stars requires data analysis methods that can accurately model the…

Earth and Planetary Astrophysics · Physics 2023-01-06 J. D. Camacho , J. P. Faria , P. T. P. Viana

In many real-world applications we are interested in approximating costly functions that are analytically unknown, e.g. complex computer codes. An emulator provides a fast approximation of such functions relying on a limited number of…

Methodology · Statistics 2020-10-02 Hossein Mohammadi , Peter Challenor , Marc Goodfellow , Daniel Williamson

Aims: We aim to measure the starspot rotation periods of active stars in the Kepler field as a function of spectral type and to extend reliable rotation measurements from F-, G-, and K-type to M-type stars. Methods: Using the Lomb-Scargle…

Solar and Stellar Astrophysics · Physics 2013-09-05 M. B. Nielsen , L. Gizon , H. Schunker , C. Karoff

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

Machine Learning · Statistics 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi

Light curves of solar-like stars are known to show highly irregular variability. As a consequence, standard frequency analysis methods often fail to detect the correct rotation period. Recently, Shapiro et al. (2020) showed that the periods…

Solar and Stellar Astrophysics · Physics 2022-10-26 Timo Reinhold , Alexander I. Shapiro , Sami K. Solanki , Gibor Basri

The recently approved NASA K2 mission has the potential to multiply by an order of magnitude the number of short-period transiting planets found by Kepler around bright and low-mass stars, and to revolutionise our understanding of stellar…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Suzanne Aigrain , Simon T. Hodgkin , Michael J. Irwin , Jim R. Lewis , Stephen J. Roberts

Discrete automated processes in industrial and cyber-physical systems often exhibit a repetitive structure in which successive repetitions follow a common trajectory while differing in duration, amplitude, and fine-scale dynamics. Such…

Machine Learning · Statistics 2026-05-14 Elias Reich , Saverio Messineo , Stefan Huber

We develop a statistical analysis model of Kepler star flux data in the presence of planet transits, non-Gaussian noise, and star variability. We first develop a model for Kepler noise probability distribution in the presence of outliers,…

Earth and Planetary Astrophysics · Physics 2021-04-23 Jakob Robnik , Uroš Seljak

Measurements of radial velocity variations from the spectroscopic monitoring of stars and their companions are essential for a broad swath of astrophysics, providing access to the fundamental physical properties that dictate all phases of…

In our previous work, we investigated the occurrence rate of super-flares on various types of stars and their statistical properties, with a particular focus on G-type dwarfs, using entire Kepler data. The said study also considered how the…

Solar and Stellar Astrophysics · Physics 2023-12-06 A. k. Althukair , D. Tsiklauri

This work aims to develop a computationally inexpensive approach, based on machine learning techniques, to accurately predict thousands of stellar rotation periods. The innovation in our approach is the use of the XGBoost algorithm to…

Solar and Stellar Astrophysics · Physics 2024-10-02 Nuno R. C. Gomes , Fabio Del Sordo , Luís Torgo

We infer the number of planets-per-star as a function of orbital period and planet size using $Kepler$ archival data products with updated stellar properties from the $Gaia$ Data Release 2. Using hierarchical Bayesian modeling and…