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Several celestial bodies in co-orbital configurations exist in the solar system. However, co-orbital exoplanets have not yet been discovered. This lack may result from a degeneracy between the signal induced by co-orbital planets and other…

Earth and Planetary Astrophysics · Physics 2016-03-28 Adrien Leleu , Philippe Robutel , Alexandre C. M. Correia

Exoplanets can be detected with various observational techniques. Among them, radial velocity (RV) has the key advantages of revealing the architecture of planetary systems and measuring planetary mass and orbital eccentricities. RV…

Instrumentation and Methods for Astrophysics · Physics 2023-08-02 Nathan C. Hara , Eric B. Ford

Radial-velocity (RV) signals induce RV variations an order of magnitude larger than the signal created by the orbit of Earth-twins, thus preventing their detection. The goal of this paper is to compare the efficiency of the different…

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

To date, well over a thousand planets have been discovered orbiting other stars, hundreds of them in multi-planet systems. Most of these exoplanets have been detected by either the transit method or the radial velocity method, rather than…

Earth and Planetary Astrophysics · Physics 2015-06-19 Anthony R. Dobrovolskis

We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of…

Earth and Planetary Astrophysics · Physics 2009-07-22 C. A. Giuppone , M. Tadeu dos Santos , C. Beaugé , S. Ferraz-Mello , T. A. Michtchenko

Co-orbital planets have not yet been discovered, although they constitute a frequent by-product of planetary formation and evolution models. This lack may be due to observational biases, since the main detection methods are unable to spot…

Earth and Planetary Astrophysics · Physics 2017-03-01 Adrien Leleu , Philippe Robutel , Alexandre C M Correia , Jorge Lillo-Box

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…

This work focuses on the dynamics and the detection methods of co-orbital exoplanets. We call "co-orbital" any configuration in which two planets orbit with the same mean mean-motion around the same star. First, we revisit the results of…

Earth and Planetary Astrophysics · Physics 2017-01-23 Adrien Leleu

Future generations of precise radial velocity (RV) surveys aim to achieve sensitivity sufficient to detect Earth mass planets orbiting in their stars' habitable zones. A major obstacle to this goal is astrophysical radial velocity noise…

Earth and Planetary Astrophysics · Physics 2016-04-27 Andrew Vanderburg , Peter Plavchan , John Asher Johnson , David R. Ciardi , Jonathan Swift , Stephen R. Kane

A number of giant planet pairs discovered by the radial velocity method with period ratios $\lesssim 2$ may reside in mean motion resonances. Convergent orbital migration and resonant capture at the time of formation would naturally explain…

Earth and Planetary Astrophysics · Physics 2020-08-19 Sam Hadden , Matthew J. Payne

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou

Retrieval of orbital parameters of extrasolar planets poses considerable statistical challenges.Due to sparse sampling, measurement errors, parameters degeneracy and modelling limitations, there are no unique values of basic parameters,…

Astrophysics · Physics 2009-11-13 Sreekumar T. Balan , Ofer Lahav

Co-orbital planets (in a $1:1$ mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain $p:p:p+1$, where the co-orbital pair is in a first-order…

Earth and Planetary Astrophysics · Physics 2022-08-10 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

The precise Doppler method for measuring stellar radial velocities (RV) is a fundamental technique in modern astronomy. This method records a star's spectrum and detects periodic Doppler shifts in its spectral features, which indicate the…

Earth and Planetary Astrophysics · Physics 2024-10-16 Trifon Trifonov

We show that short-term perturbations among massive planets in multiple planet systems can result in radial velocity variations of the central star which differ substantially from velocity variations derived assuming the planets are…

Astrophysics · Physics 2009-11-06 Gregory Laughlin , John E. Chambers

Precise measurements of a star's radial velocity (RV) made using extremely stable, high resolution, optical or near infrared spectrographs can be used to determine the masses and orbital parameters of gravitationally-bound extra-solar…

Earth and Planetary Astrophysics · Physics 2025-11-05 Jennifer A. Burt , Xavier Dumusque , Samuel Halverson

Motivated by the order-of-magnitude difference in the frequency of giant planets orbiting M dwarfs inferred by microlensing and radial velocity (RV) surveys, we present a method for comparing the statistical constraints on exoplanet…

Earth and Planetary Astrophysics · Physics 2015-06-19 Christian Clanton , Scott Gaudi

The ubiquity of M dwarf stars combined with their low masses and luminosities make them prime targets in the search for nearby, habitable exoplanets. We investigate the effects of starspot-induced radial velocity (RV) jitter on detection…

Solar and Stellar Astrophysics · Physics 2015-06-23 Jan Marie Andersen , Heidi Korhonen

The Doppler technique measures the reflex radial motion of a star induced by the presence of companions and is the most successful method to detect exoplanets. If several planets are present, their signals will appear combined in the radial…

Astrophysics · Physics 2010-01-06 Guillem Anglada-Escude , Mercedes Lopez-Morales , John E. Chambers
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