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The transits of a planet on a Keplerian orbit occur at time intervals exactly equal to the period of the orbit. If a second planet is introduced the orbit is not Keplerian and the transits are no longer exactly periodic. We compute the…

Astrophysics · Physics 2009-11-10 E. Agol , J. Steffen , R. Sari , W. Clarkson

Duration and period of transits in extrasolar planetary systems can exhibit long-term variations for a variety of reasons. Here we investigate how systemic proper motion, which steadily re-orients planetary orbit with respect to our line of…

Astrophysics · Physics 2009-07-22 Roman R. Rafikov

Transiting planets provide a unique opportunity to search for unseen additional bodies gravitationally bound to a system. It is possible to detect the motion of the center-of-mass of the observed transiting planet-host star duo due to the…

Future surveys for transiting extrasolar planets, including the space-based mission Kepler (Borucki et al 2003), are expected to detect hundreds of Jovian mass planets and tens of terrestrial mass planets. For many of these newly discovered…

Astrophysics · Physics 2011-09-01 Matthew J. Holman , Norman W. Murray

Transit timing variations - deviations from strict periodicity between successive passages of a transiting planet - can be used to probe the structure and dynamics of multiple-planet systems. In this paper, we examine prospects for…

Earth and Planetary Astrophysics · Physics 2015-05-19 Stefano Meschiari , Gregory Laughlin

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

Kepler will monitor a sufficient number of stars that it is likely to detect single transits of planets with periods longer than the mission lifetime. We show that by combining the exquisite Kepler photometry of such transits with precise…

Astrophysics · Physics 2009-11-13 Jennifer C. Yee , B. Scott Gaudi

The mid-transit times of an exoplanet may be non-periodic. The variations in the timing of the transits with respect to a single period, that is, the transit timing variations (TTVs), can sometimes be attributed to perturbations by other…

Earth and Planetary Astrophysics · Physics 2018-12-05 D. D. Carpintero , M. D. Melita

Transit timing analysis may be an effective method of discovering additional bodies in extrasolar systems which harbour transiting exoplanets. The deviations from the Keplerian motion, caused by mutual gravitational interactions between…

A planet's orbital orientation relative to an observer's line of sight determines the chord length for a transiting planet, i.e., the projected distance a transiting planet travels across the stellar disc. For a given circular orbit, the…

Earth and Planetary Astrophysics · Physics 2020-04-22 Aaron C. Boley , Christa Van Laerhoven , Agueda Paula Granados Contreras

Kepler will monitor enough stars that it is likely to detect single transits of planets with periods longer than the mission lifetime. We show that by combining the Kepler photometry of such transits with precise radial velocity (RV)…

Astrophysics · Physics 2009-11-13 Jennifer C. Yee , B. Scott Gaudi

We develop an analytic model for transit timing variations produced by orbital conjunctions between gravitationally interacting planets. If the planetary orbits have tight orbital spacing, which is a common case among the Kepler planets,…

Earth and Planetary Astrophysics · Physics 2015-06-19 David Nesvorny , David Vokrouhlicky

The Kepler Mission is monitoring the brightness of ~150,000 stars searching for evidence of planetary transits. As part of the "Hunt for Exomoons with Kepler" (HEK) project, we report a planetary system with two confirmed planets and one…

Earth and Planetary Astrophysics · Physics 2015-06-11 David Nesvorny , David M. Kipping , Lars A. Buchhave , Gáspár Á. Bakos , Joel Hartman , Allan Schmitt

We present an efficient analytical method to predict the maximum transit timing variations of a circumbinary exoplanet, given some basic parameters of the host binary. We derive an analytical model giving limits on the potential location of…

Earth and Planetary Astrophysics · Physics 2015-06-16 D. Armstrong , D. V. Martin , G. Brown , F. Faedi , Y. Gómez Maqueo Chew , R. Mardling , D. Pollacco , A. H. M. J. Triaud , S. Udry

We propose that the presence of additional planets in extrasolar planetary systems can be detected by long-term transit timing studies. If a transiting planet is on an eccentric orbit then the presence of another planet causes a secular…

Astrophysics · Physics 2008-11-26 Jeremy S. Heyl , Brett J. Gladman

Among other things, studies of the formation and evolution of planetary systems currently draw on two important observational resources: the precise characterization available for planets that transit their parent stars and the frequency…

Earth and Planetary Astrophysics · Physics 2010-06-21 Darin Ragozzine , Matthew J. Holman

We analytically work out the long-term, i.e. averaged over one orbital revolution, time variations of some direct observable quantities Y induced by classical and general relativistic dynamical perturbations of the two-body pointlike…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Lorenzo Iorio
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