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Related papers: Transit timing to first order in eccentricity

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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

We derive the transit timing variations (TTVs) of two planets near a second order mean motion resonance on nearly circular orbits. We show that the TTVs of each planet are given by sinusoids with a frequency of $j n_2-(j-2)n_1$, where $j…

Earth and Planetary Astrophysics · Physics 2016-05-02 Katherine M. Deck , Eric Agol

Transit timing variations (TTVs) have proven to be a powerful technique for confirming Kepler planet candidates, for detecting non-transiting planets, and for constraining the masses and orbital elements of multi-planet systems. These TTV…

Earth and Planetary Astrophysics · Physics 2014-05-20 Katherine M. Deck , Eric Agol , Matthew J. Holman , David Nesvorny

We develop and apply methods to extract planet masses and eccentricities from observed transit time variations (TTVs). First, we derive simple analytic expressions for the TTV that include the effects of both first- and second-order…

Earth and Planetary Astrophysics · Physics 2016-09-07 Sam Hadden , Yoram Lithwick

The Transit Timing Variations (TTVs) are deviations of the measured mid-transit times from the exact periodicity. One of the most interesting causes of TTVs is the gravitational interaction between planets. Here we consider a case of two…

Earth and Planetary Astrophysics · Physics 2016-06-01 D. Nesvorny , D. Vokrouhlicky

The Transit Timing Variation (TTV) method relies on monitoring changes in timing of transits of known exoplanets. Non-transiting planets in the system can be inferred from TTVs by their gravitational interaction with the transiting planet.…

Earth and Planetary Astrophysics · Physics 2015-05-14 David Nesvorny , Cristian Beauge

We extract Transit Timing Variation (TTV) signals for 12 pairs of transiting planet candidates that are near first-order Mean Motion Resonances (MMR), using publicly available Kepler light curves (Q0-Q14). These pairs show significant…

Earth and Planetary Astrophysics · Physics 2015-06-11 Ji-Wei Xie

Transiting exoplanets in multi-planet systems have non-Keplerian orbits which can cause the times and durations of transits to vary. The theory and observations of transit timing variations (TTV) and transit duration variations (TDV) are…

Earth and Planetary Astrophysics · Physics 2025-05-01 Eric Agol , Daniel Fabrycky

Transit timing variation (TTV) provides rich information about the mass and orbital properties of exoplanets, which are often obtained by solving an inverse problem via Markov Chain Monte Carlo (MCMC). In this paper, we design a new…

Earth and Planetary Astrophysics · Physics 2024-09-10 Chen Chen , Lingkai Kong , Gongjie Li , Molei Tao

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

We perform numerical calculations of the expected transit timing variations (TTVs) induced on a Hot-Jupiter by an Earth-mass perturber. Motivated by the recent discoveries of retrograde transiting planets, we concentrate on an investigation…

Earth and Planetary Astrophysics · Physics 2010-03-15 Matthew J. Payne , Eric B. Ford , Dimitri Veras

Here we describe a story behind the discovery of Kepler-46, which was the first exoplanetary system detected and characterized from a method known as the transit timing variations (TTVs). The TTV method relies on the gravitational…

Earth and Planetary Astrophysics · Physics 2019-07-17 David Nesvorny

Gravitational interactions between planets in transiting exoplanetary systems lead to variations in the times of transit that are diagnostic of the planetary masses and the dynamical state of the system. Here we show that synodic "chopping"…

Earth and Planetary Astrophysics · Physics 2015-06-23 Katherine M. Deck , Eric Agol

In a transiting planetary system, the presence of a second planet will cause the time interval between transits to vary. These transit timing variations (TTV) are particularly large near mean-motion resonances and can be used to infer the…

Astrophysics · Physics 2007-05-23 Jason H. Steffen , Eric Agol

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

The transit timing variation technique (TTV) has been widely used to detect and characterize multiple planetary systems. Due to the observational biases imposed mainly by the photometric conditions and instrumentation and the high…

Earth and Planetary Astrophysics · Physics 2016-07-14 C. von Essen , S. Cellone , M. Mallonn , B. Tingley , M. Marcussen

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

In the coming decades, research in extrasolar planets aims to advance two goals: 1) detecting and characterizing low-mass planets increasingly similar to the Earth, and 2) improving our understanding of planet formation. We present a new…

Astrophysics · Physics 2007-05-23 Jason H. Steffen , B. Scott Gaudi , Eric B. Ford , Eric Agol , Mathew J. Holman

I present an initial investigation into a new planet detection technique that uses the transit timing of a known, transiting planet. The transits of a solitary planet orbiting a star occur at equally spaced intervals in time. If a second…

Astrophysics · Physics 2007-05-23 Jason H. Steffen
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