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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

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

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

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

The transit timing variation (TTV) method allows the detection of non-transiting planets through their gravitational perturbations. Since TTVs are strongly enhanced in systems close to mean-motion resonances (MMR), even a low mass planet…

Earth and Planetary Astrophysics · Physics 2015-06-03 Gwenaël Boué , Mahmoudreza Oshagh , Marco Montalto , Nuno C. Santos

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

Transit timing variations (TTVs) are observed for exoplanets at a range of amplitudes and periods, yielding an ostensibly degenerate forest of possible explanations. We offer some clarity in this forest, showing that systems with a distant…

Earth and Planetary Astrophysics · Physics 2025-11-12 Daniel A. Yahalomi , David Kipping , Eric Agol , David Nesvorny

Transit timing variations (TTVs) are useful to constrain the existence of perturbing planets, especially in resonant systems where the variations are strongly enhanced. Here we focus on Laplace-resonant three-planet systems, and assume the…

Earth and Planetary Astrophysics · Physics 2015-06-12 A. -S. Libert , S. Renner

There are excesses of sub-Neptunes just wide of period commensurabilities like the 3:2 and 2:1, and corresponding deficits narrow of them. Any theory that explains this period ratio structure must also explain the strong transit timing…

Earth and Planetary Astrophysics · Physics 2023-03-29 Nick Choksi , Eugene Chiang

Both ground and space-based transit observatories are poised to significantly increase the number of known transiting planets and the number of precisely measured transit times. The variation in a planet's transit times may be used to infer…

Earth and Planetary Astrophysics · Physics 2015-05-20 Dimitri Veras , Eric B. Ford , Matthew J. Payne

The convergent migration of two planets in a gaseous disc can lead to capture in mean motion resonance (MMR). In addition, pairs of planets in or near MMRs are known to produce strong transit timing variations (TTVs). In this paper we study…

Earth and Planetary Astrophysics · Physics 2020-10-28 Jean Teyssandier , Anne-Sophie Libert

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

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

We analyze solutions drawn from the recently published posterior distribution of the TRAPPIST-1 system, which consists of seven Earth-size planets appearing to be in a resonant chain around a red dwarf. We show that all the planets are…

Earth and Planetary Astrophysics · Physics 2022-03-14 Jean Teyssandier , Anne-Sophie Libert , Eric Agol

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

Transit Timing Variations, or TTVs, can be a very efficient way of constraining masses and eccentricities of multi-planet systems. Recent measurements of the TTVs of TRAPPIST-1 led to an estimate of the masses of the planets, enabling an…

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

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

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

Transit timing variations (TTVs) of exoplanets are normally interpreted as the consequence of gravitational interaction with additional bodies in the system. However, TTVs can also be caused by deformations of the system transits by…

Earth and Planetary Astrophysics · Physics 2015-12-23 P. Ioannidis , K. F. Huber , J. H. M. M. Schmitt
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