Characterizing Kepler's Multiplanet Systems with Transit Timing Variations
Public DepositedIn this thesis I develop and apply techniques to the masses and eccentricities of tran-siting exoplanets from their transit timing variations. These techniques include both analytic and numerical means for measuring planet masses and orbits and assessing the robustness of the inferred properties. I apply these techniques to a sample of 145 planets in 55 multi-planet systems. Most of these planets are `sub-Neptunes' with radii between approximately 1R and 4R. Based on the measured bulk densities of these planets, Iand the majority of them host substantial gaseous envelopes. I am able to derive precise eccentricity measurements and nd that these planets have typical eccentricities on the order of a few percent. I also derive a criterion, based on the concept of resonance overlap, to predict the orbital stability of closely spaced systems of two eccentric planets
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