NUMERICAL AND ANALYTICAL MODELING OF TRANSIT TIMING VARIATIONS

@article{Hadden2016NUMERICALAA,
  title={NUMERICAL AND ANALYTICAL MODELING OF TRANSIT TIMING VARIATIONS},
  author={Sam Hadden and Yoram Lithwick},
  journal={The Astrophysical Journal},
  year={2016},
  volume={828},
  pages={44}
}
We develop and apply methods to extract planet masses and eccentricities from observed transit time variations (TTVs). First, we derive simple analytic expressions for the TTV that include the effects of both first- and second-order resonances. Second, we use N-body Markov chain Monte Carlo (MCMC) simulations, as well as the analytic formulae, to measure the masses and eccentricities of ten planets discovered by Kepler that have not previously been analyzed. Most of the ten planets have low… 
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32 Citations
Highly Influential Citations
2
Background Citations
6
Methods Citations
4

32 Citations

Kepler Planet Masses and Eccentricities from TTV Analysis
We conduct a uniform analysis of the transit timing variations (TTVs) of 145 planets from 55 Kepler multiplanet systems to infer planet masses and eccentricities. Eighty of these planets do not have…
Modal Decomposition of TTV: Inferring Planet Masses and Eccentricities
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…
DYNAMICS AND TRANSIT VARIATIONS OF RESONANT EXOPLANETS
Transit timing variations (TTVs) are deviations of the measured midtransit times from the exact periodicity. One of the most interesting causes of TTVs is the gravitational interaction between…
Transit Timing and Duration Variations for the Discovery and Characterization of Exoplanets
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…
A Simplified Photodynamical Model for Planetary Mass Determination in Low-eccentricity Multitransiting Systems
Inferring planetary parameters from transit timing variations (TTVs) is challenging for small exoplanets because their transits may be so weak that determination of individual transit timing is…
Transit timing variations for planets near eccentricity-type mean motion resonances
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…
Light-curve Evolution due to Secular Dynamics and the Vanishing Transits of KOI 120.01
Non-Keplerian dynamics of planetary orbits manifest in the transit light-curve as variations of different types. In addition to Transit Timing Variations (TTV's), the shape of the transits contains…
A Spectral Approach to Transit Timing Variations
The high planetary multiplicity revealed by Kepler implies that Transit Time Variations (TTVs) are intrinsically common. The usual procedure for detecting these TTVs is biased to long-period, deep…
The Planetary Mass–Radius Relation and Its Dependence on Orbital Period as Measured by Transit Timing Variations and Radial Velocities
The two most common techniques for measuring planetary masses—the radial velocity (RV) and the transit timing variation (TTV) techniques—have been observed to yield systematically different masses…
Systematic search for long-term transit duration changes in Kepler transiting planets
Holczer, Mazeh, and collaborators (HM+16) used the Kepler four-year observations to derive a transit-timing catalog, identifying 260 Kepler objects of interest (KOI) with significant transit timing…
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