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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

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

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

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

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

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

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 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) 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

The Transit Timing Variations (TTVs) technique provides a powerful tool to detect additional planets in transiting exoplanetary systems. In this paper we show how transiting planets with significant TTVs can be systematically missed, or…

Earth and Planetary Astrophysics · Physics 2015-05-28 Enrique Garcia-Melendo , Mercedes Lopez-Morales

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) 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

As the number of known exoplanets continues to grow, the question as to whether such bodies harbour satellite systems has become one of increasing interest. In this paper, we explore the transit timing effects that should be detectable due…

Astrophysics · Physics 2009-11-13 David M. Kipping

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 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

Exoplanet Transit Timing Variations (TTVs) caused by gravitational forces between planets can be used to determine planetary masses and orbital parameters. Most of the observed TTVs are small and sinusoidal in time, leading to degeneracies…

Earth and Planetary Astrophysics · Physics 2021-03-31 Yan Liang , Jakob Robnik , Uros Seljak

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

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 two most common techniques for measuring planetary masses - the radial velocity (RV) and the transit timing variations (TTVs) techniques - have been observed to yield systematically different masses for planets of similar radii.…

Earth and Planetary Astrophysics · Physics 2017-04-19 Sean M. Mills , Tsevi Mazeh
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