NUMERICAL and ANALYTICAL MODELING of TRANSIT TIMING VARIATIONS

Sam Hadden, Yoram Lithwick

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We develop and apply methods to extract planet masses and eccentricities from observed transit timing 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 simulations, as well as the analytic formulae, to measure the masses and eccentricities of 10 planets discovered by Kepler that have not previously been analyzed. Most of the 10 planets have low densities. Using the analytic expressions to partially circumvent degeneracies, we measure small eccentricities of a few percent or less.

Original languageEnglish (US)
Article number44
JournalAstrophysical Journal
Volume828
Issue number1
DOIs
StatePublished - Sep 1 2016

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Keywords

  • planets and satellites: detection

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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