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Nontransiting planets can reveal themselves through transit timing variations (TTVs), but inferring the properties of the perturbing planet is a highly degenerate inverse problem. We present a systematic reassessment of all 12 published…

Earth and Planetary Astrophysics · Physics 2026-05-11 Caleb Lammers , Joshua N. Winn

Most planet pairs in the Kepler data that have measured transit time variations (TTV) are near first-order mean-motion resonances. We derive analytical formulae for their TTV signals. We separate planet eccentricity into free and forced…

Earth and Planetary Astrophysics · Physics 2015-06-05 Yoram Lithwick , Jiwei Xie , Yanqin Wu

Few planetary systems have measured mutual inclinations, and even less are found to be non-coplanar. Observing the gravitational interactions between exoplanets is an effective tool to detect non-transiting companions to transiting planets.…

Doppler planet searches revealed that many giant planets orbit close to their host star or in highly eccentric orbits. These and subsequent observations inspired new theories of planet formation that invoke gravitation interactions in…

Earth and Planetary Astrophysics · Physics 2015-06-19 Eric B. Ford

Transit timing variations (TTVs) can provide useful information for systems observed by transit, as they allow us to put constraints on the masses and eccentricities of the observed planets, or even to constrain the existence of…

Earth and Planetary Astrophysics · Physics 2021-11-15 A. Leleu , G. Chatel , S. Udry , Y. Alibert , J. -B. Delisle , R. Mardling

While various indirect methods are used to detect exoplanets, one of the most effective and accurate methods is the transit method, which measures the brightness of a given star for periodic dips when an exoplanet is passing in front of the…

A transiting planet exhibits sinusoidal transit-time-variations (TTVs) if perturbed by a companion near a mean-motion-resonance (MMR). We search for sinusoidal TTVs in more than 2600 Kepler candidates, using the publicly available Kepler…

Earth and Planetary Astrophysics · Physics 2015-06-16 Ji-Wei Xie , Yanqin Wu , Yoram Lithwick

We analyse the Transit Timing Variation (TTV) measurements of a~system of two super-Earths detected as Kepler-29, in order to constrain the planets' masses and orbital parameters. A dynamical analysis of the best-fitting configurations…

Earth and Planetary Astrophysics · Physics 2017-01-18 Cezary Migaszewski , Krzysztof Gozdziewski , Federico Panichi

We fit a dynamical model to Kepler systems that contain four or more transiting planets using the analytic method AnalyticLC, and obtain physical and orbital parameters for 101 planets in 23 systems, of which 95 are of mass significance…

Earth and Planetary Astrophysics · Physics 2023-11-14 Yair Judkovsky , Aviv Ofir , Oded Aharonson

We confirm 27 planets in 13 planetary systems by showing the existence of statistically significant anti-correlated transit timing variations (TTVs), which demonstrates that the planet candidates are in the same system, and long-term…

Kepler-9 was the first case where transit timing variations have been used to confirm the planets in this system. Following predictions of dramatic TTVs - larger than a week - we re-analyse the system based on the full Kepler data set. We…

Earth and Planetary Astrophysics · Physics 2014-03-12 Stefan Dreizler , Aviv Ofir

We perform dynamical fits to the Transit Timing Variations (TTVs) of Kepler-419b. The TTVs from 17 Kepler quarters are obtained from Holczer et al (2016, ApJS 225,9). The dynamical fits are performed using the MultiNest Bayesian inference…

Earth and Planetary Astrophysics · Physics 2018-11-14 X. Saad-Olivera , A. Costa de Souza , F. Roig , D. Nesvorny

We use 16 quarters of the \textit{Kepler} mission data to analyze the transit timing variations (TTVs) of the extrasolar planet Kepler-46b (KOI-872). Our dynamical fits confirm that the TTVs of this planet (period…

Earth and Planetary Astrophysics · Physics 2017-04-06 Ximena Saad-Olivera , David Nesvorný , David M. Kipping , Fernando Roig

We characterize the radii and masses of the star and planets in the Kepler-59 system, as well as their orbital parameters. The star parameters are determined through a standard spectroscopic analysis, resulting in a mass of $1.359\pm…

Earth and Planetary Astrophysics · Physics 2020-01-08 X. Saad-Olivera , C. F. Martinez , A. Costa de Souza , F. Roig 1 , D. Nesvorný

Transit timing variations (TTVs) are a powerful tool for characterizing the properties of transiting exoplanets. However, inferring planet properties from the observed timing variations is a challenging task, which is usually addressed by…

Earth and Planetary Astrophysics · Physics 2018-06-26 Itai Linial , Shmuel Gilbaum , Re'em Sari

Characterization of transiting planets with transit timing variations (TTVs) requires understanding how to translate the observed TTVs into masses and orbital elements of the planets. This can be challenging in multi-planet transiting…

Earth and Planetary Astrophysics · Physics 2016-04-28 Eric Agol , Katherine Deck

If a transiting exoplanet has a moon, that moon could be detected directly from the transit it produces itself, or indirectly via the transit timing variations it produces in its parent planet. There is a range of parameter space where the…

Earth and Planetary Astrophysics · Physics 2021-01-01 Chris Fox , Paul Wiegert

Following on from Paper I in our series (Xie 2013), we report the confirmation by Transit Timing Variations (TTVs) of a further 30 planets in 15 multiple planet systems, using the publicly available Kepler light curves (Q0-Q16). All of…

Earth and Planetary Astrophysics · Physics 2015-06-17 Ji-Wei Xie