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OrbDot is a Python package for studying the secular (long-term) evolution of exoplanet orbits from observational data. It employs nested sampling algorithms to fit evolutionary models to any combination of transit and eclipse mid-times,…

Instrumentation and Methods for Astrophysics · Physics 2025-09-08 Simone R. Hagey , Aaron Boley

As astronomical data grows in volume and complexity, the scalability of analysis software becomes increasingly important. At the same time, astrophysics analysis software relies heavily on open-source contributions, so languages and tools…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Edward Berman , Jacqueline McCleary

When fitting N-body models to astronomical data - including transit times, radial velocity, and astrometric positions at observed times - the derivatives of the model outputs with respect to the initial conditions can help with model…

Earth and Planetary Astrophysics · Physics 2021-09-01 Eric Agol , David M. Hernandez , Zachary Langford

Gaussian processes (GPs) are commonly used as a model of stochastic variability in astrophysical time series. In particular, GPs are frequently employed to account for correlated stellar variability in planetary transit light curves. The…

Instrumentation and Methods for Astrophysics · Physics 2020-11-11 Tyler Gordon , Eric Agol , Daniel Foreman-Mackey

We present a Bayesian surrogate model for the analysis of periodic or quasi-periodic time series data. We describe a computationally efficient implementation that enables Bayesian model comparison. We apply this model to simulated and real…

Methodology · Statistics 2011-07-21 Eric B. Ford , Althea V. Moorhead , Dimitri Veras

Complex systems are increasingly being viewed as distributed information processing systems, particularly in the domains of computational neuroscience, bioinformatics and Artificial Life. This trend has resulted in a strong uptake in the…

Information Theory · Computer Science 2014-12-04 Joseph T. Lizier

Here we describe a Jupyter notebook demonstrating methods for the reduction and analysis of exoplanet transit observations taken with the WFC3/UVIS G280 grism. Released on Space Telescope's hst_notebooks GitHub repository, this notebook…

Instrumentation and Methods for Astrophysics · Physics 2025-11-14 Munazza K. Alam , Frederick Dauphin , Amanda Pagul

In this PhD dissertation, I discuss issues of the Radial Velocities (RV) and transit methods. These techniques allow us to derive the mass and radius of an exoplanet, necessary to model its bulk structure and to have insight on its…

Earth and Planetary Astrophysics · Physics 2016-04-15 Giovanni Bruno

In this paper we describe an algorithm and deduce the related mathematical formulae that allows the computation of observed fluxes in stellar and planetary systems with arbitrary number of bodies being part of a transit or occultation…

Earth and Planetary Astrophysics · Physics 2015-06-03 András Pál

Data Release 3 (DR3) from the Gaia Mission includes radial velocity measurements of over 33 million targets. Among many scientific applications, the overlap of this stellar sample with targeted exoplanet transit survey stars presents an…

Earth and Planetary Astrophysics · Physics 2024-11-06 Quadry Chance , Daniel Foreman-Mackey , Sarah Ballard , Andrew Casey , Trevor David , Adrian Price-Whelan

We present allesfitter, a public and open-source python software for flexible and robust inference of stars and exoplanets given photometric and radial velocity data. Allesfitter offers a rich selection of orbital and transit/eclipse…

Earth and Planetary Astrophysics · Physics 2021-05-05 Maximilian N. Günther , Tansu Daylan

The presence of silicate material in known rings in the Solar System raises the possibility of ring systems existing even within the snow line -- where most transiting exoplanets are found. Previous studies have shown that the detection of…

Earth and Planetary Astrophysics · Physics 2019-10-29 Edan Rein , Aviv Ofir

Gaussian processes are a class of flexible nonparametric Bayesian tools that are widely used across the sciences, and in industry, to model complex data sources. Key to applying Gaussian process models is the availability of well-developed…

Computation · Statistics 2019-07-02 Jamie Fairbrother , Christopher Nemeth , Maxime Rischard , Johanni Brea , Thomas Pinder

We introduce EXOFIT, a Bayesian tool for estimating orbital parameters of extrasolar planets from radial velocity measurements. EXOFIT can search for either one or two planets at present. EXOFIT employs Markov Chain Monte Carlo method…

Solar and Stellar Astrophysics · Physics 2009-07-22 Sreekumar T. Balan , Ofer Lahav

Radial Velocity follow-up is essential to establish or exclude the planetary nature of a transiting companion as well as to accurately determine its mass. Here we present some elements of an efficient Doppler follow-up strategy, based on…

Earth and Planetary Astrophysics · Physics 2009-02-23 F. Bouchy , C. Moutou , D. Queloz , the CoRoT Exoplanet Science Team

Grazing transits present a special problem for statistical studies of exoplanets. Even though grazing planetary orbits are rare (due to geometric selection effects), for many low to moderate signal-to-noise cases, a significant fraction of…

Earth and Planetary Astrophysics · Physics 2022-02-16 Gregory J. Gilbert

The physical characteristics and atmospheric chemical composition of newly discovered exoplanets are often inferred from their transit spectra which are obtained from complex numerical models of radiative transfer. Alternatively, simple…

Earth and Planetary Astrophysics · Physics 2021-12-23 Konstantin T. Matchev , Katia Matcheva , Alexander Roman

Studying exoplanet flow and variability requires solving atmospheric dynamics equations accurately. Here we use the shallow-water equations to evaluate and employ Dedalus3, a spectral method-based software package for solving differential…

Earth and Planetary Astrophysics · Physics 2026-03-12 Rick Bonhof , Quentin Changeat , James Y-K. Cho

Biological systems with intertwined feedback loops pose a challenge to mathematical modeling efforts. Moreover, rare events, such as mutation and extinction, complicate system dynamics. Stochastic simulation algorithms are useful in…

Quantitative Methods · Quantitative Biology 2018-12-10 Alfonso Landeros , Timothy Stutz , Kevin L. Keys , Alexander Alekseyenko , Janet S. Sinsheimer , Kenneth Lange , Mary Sehl

(Abridged) To this purpose, in the course of the thesis work we prepared a suitable software in order to use the same spectra acquired for radial velocity determinations (i.e., with the spectrum of the Iodine cell imprinted on) to measure…

Astrophysics · Physics 2009-05-07 A. F. Martinez Fiorenzano