Fast Inversion Method for Determination of Planetary Parameters from Transit Timing Variations

Astronomy and Astrophysics – Astronomy

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Scientific paper

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. The TTV method is sensitive to low-mass companions and can be used to validate planetary candidates from Kepler. We developed a fast algorithm that can be used to determine the mass and orbit of planets from TTVs. We applied our code, known as TTVIM, to a wide variety of planetary systems to test the uniqueness of the TTV inversion problem, and its dependence on S/N of TTV measurements. We found that planetary parameters, including the mass and mutual orbital inclination of planets, can be determined for most systems where the amplitude of short-period TTVs exceeds noise. In principle, the TTV method can therefore be used to characterize the inclination distribution of multi-planet systems. We are applying the code to the available Kepler data and will discuss the interesting systems at the meeting.
This research was supported by the NSF Award AST 1008890.

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