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Related papers: orvara: An Efficient Code to Fit Orbits using Radi…

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Radial velocity (RV) surveys have discovered hundreds of exoplanetary systems but suffer from a fundamental degeneracy between planet mass $M_p$ and orbital inclination $i$. In this paper we break this degeneracy by combining RVs with…

Mixed-variable symplectic integrators are widely used in orbital dynamics. However, they have been developed for Solar system-type architectures, and can not handle evolving hierarchy, in particular in systems with two or more stellar…

Earth and Planetary Astrophysics · Physics 2019-11-13 L. Rodet , H. Beust , M. Bonnefoy , R. J. De Rosa , P. Kalas , A. -M. Lagrange

This tutorial covers the use of absolute astrometry, in particular from the combination of the Hipparcos and Gaia missions, to identify faint companions to nearby stars and to measure the masses and orbits of those companions. Absolute…

Instrumentation and Methods for Astrophysics · Physics 2024-06-18 Timothy D. Brandt

If an orbit is fitted from combined RV and astrometric data, the orbit should be physically consistent with both data sets. The Keplerian orbit of a planet is a highly nonlinear function of seven parameters. The astrometric orbit problem…

Earth and Planetary Astrophysics · Physics 2010-08-23 Joseph H. Catanzarite

We present the Exoplanet Simple Orbit Fitting Toolbox (ExoSOFT), a new, open-source suite to fit the orbital elements of planetary or stellar mass companions to any combination of radial velocity and astrometric data. To explore the…

Instrumentation and Methods for Astrophysics · Physics 2017-11-13 Kyle Mede , Timothy D. Brandt

We present a comprehensive orbital analysis to the exoplanets $\beta$ Pictoris b and c that resolves previously reported tensions between the dynamical and evolutionary mass constraints on $\beta$ Pic b. We use the MCMC orbit code orvara to…

Earth and Planetary Astrophysics · Physics 2021-03-16 G. Mirek Brandt , Timothy D. Brandt , Trent J. Dupuy , Yiting Li , Daniel Michalik

We present htof, an open-source tool for interpreting and fitting the intermediate astrometric data (IAD) from both the 1997 and 2007 reductions of Hipparcos, the scanning-law of Gaia, and future missions such as the Nancy Grace Roman Space…

Instrumentation and Methods for Astrophysics · Physics 2021-11-17 G. Mirek Brandt , Daniel Michalik , Timothy D. Brandt , Yiting Li , Trent J. Dupuy , Yunlin Zeng

We present an overview of Sherpa, an open source Python project, and discuss its development history, broad design concepts and capabilities. Sherpa contains powerful tools for combining parametric models into complex expressions that can…

orbitize! is an open-source, object-oriented software package for fitting the orbits of directly-imaged objects. It packages the Orbits for the Impatient (OFTI) algorithm and a parallel-tempered Markov Chain Monte Carlo (MCMC) algorithm…

Long-period companions are detected and characterized thanks to long-baseline radial velocity surveys. Combining Doppler time-series with astrometry, and in particular with proper motion anomalies technique, it is possible to put strong…

Earth and Planetary Astrophysics · Physics 2026-03-11 G. Piccinini , A. Petralia , A. Sozzetti , S. Benatti , D. Gandolfi , G. Micela

In this letter we present several new three and four-planet solutions based on the most current available radial velocity data for HD160691 ($\mu$Ara). These solutions are optimised using the Planetary Orbit Fitting Process (POFP) which is…

Astrophysics · Physics 2009-11-13 D. Short , G. Windmiller , J. A. Orosz

The detection and constraint of the orbits of long-period giant planets is essential for enabling their further study through direct imaging. Recently, it has been highlighted that there are discrepancies between different orbital fitting…

Earth and Planetary Astrophysics · Physics 2025-04-28 Fabo Feng , Guang-Yao Xiao , Hugh R. A. Jones , James S. Jenkins , Pablo Pena , Qinghui Sun

Context. Thanks to more than 20 years of monitoring, the radial velocity (RV) method has detected long-period companions (P > 10yr) around several dozens of stars. Yet, the true nature of these companions remains unclear because of the…

Earth and Planetary Astrophysics · Physics 2023-02-08 F. Philipot , A. -M. Lagrange , P. Rubini , F. Kiefer , A. Chomez

The orbits of binary stars and planets, particularly eccentricities and inclinations, encode the angular momentum within these systems. Within stellar multiple systems, the magnitude and (mis)alignment of angular momentum vectors among…

We describe a technique for solving for the orbital elements of multiple planets from radial velocity (RV) and/or astrometric data taken with 1 m/s and microarcsecond precision, appropriate for efforts to detect Earth-massed planets in…

Solar and Stellar Astrophysics · Physics 2009-11-13 J. T. Wright , A. W. Howard

We combine absolute astrometry from Hipparcos and Gaia with archival radial velocities from the Keck/HIRES and ESO/HARPS spectrographs, as well as relative astrometry (when available), to derive masses and orbits for 156 companions around…

Earth and Planetary Astrophysics · Physics 2025-08-13 Qier An , Timothy D. Brandt , G. Mirek Brandt , Alexander Venner

Orbital solutions for binary or multiple stellar systems that combine astrometry (e.g., position angles and angular separations) with spectroscopy (radial velocities) have important advantages over astrometric-only or spectroscopic-only…

Astrophysics · Physics 2007-05-23 Guillermo Torres

The fitting of radial velocity curves is a frequent procedure in binary stars and exoplanet research. In the majority of cases the fitting routines need to be fed with a set of initial parameter values and priors from which to begin the…

Solar and Stellar Astrophysics · Physics 2015-05-19 Ramón Iglesias-Marzoa , Mercedes López-Morales , María Jesús Arévalo Morales

Precise radial velocity (RV) measurements are a crucial tool for exoplanet discovery and characterization. Today, the majority of these measurements are derived from Echelle spectra in the optical wavelength region using cross-correlation…

Context: Stellar occultations, greatly enhanced by the publication of the Gaia data releases, permit not only the determination of asteroid size and shape, but also the retrieval of additional, accurate astrometry, with a possible relevant…

Earth and Planetary Astrophysics · Physics 2022-02-09 João F. Ferreira , Paolo Tanga , Federica Spoto , Pedro Machado , Dave Herald
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