A search for additional planets in the TrES-2, Hat-7, and Hat-p-11systems via transit timing variations

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For a transiting planet following a fixed Keplerian ellipse, observers would measure a constant interval between successive transits. Orbital precession induced by GR or stellar oblateness could result in a variation of the transit interval for a planet with an eccentric or inclined orbit. Furthermore, tidal dissipation should alter the orbital period of the planet. These slow effects can only be detected over several years. However, the gravitational influence of other planets in the system can yield a detectable change in the transit interval over much shorter time scales. With the precision and continuous monitoring provided by Kepler photometry, the presence of sub-Earth mass planets in resonance, as well as larger planets at a wide range of orbital periods could, in principle, be readily detected.
Three transiting extrasolar planets in the Kepler field of view were discovered by earlier ground-based surveys: TrES-2, HAT-P-7b, and HAT-P-11b. These systems have been observed with an array of ground-based and space-based facilities, with time baselines up to a few years. Using nearly continuous photometry from Kepler, in combination with other available observations, we search for evidence for additional planets or satellites in the pattern of measured transit times and durations in these three systems. We present the results of this search.
Kepler was selected as the 10th mission of the Discovery Program. Funding for this mission is provided by NASA, Science Mission Directorate.

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