Simulation and analysis of sub-μas precision astrometric data for planet finding

Dmitry Savransky, N. Jeremy Kasdin

Research output: Contribution to journalArticle

Abstract

We present a vector formulation of an interferometric observation of a star, including the effects of the barycentric motion of the observatory, the proper motions of the star, and the reflex motions of the star due to orbiting planets. We use this model to empirically determine the magnitude and form of the signal due to a single Earth-mass planet orbiting about a Sun-mass star. Using bounding values for the known components of the model, we perform a series of expansions, comparing the residuals to this signal.We demonstrate why commonly used first-order linearizations of similar measurement models are insufficient for signals of the magnitude of the one due to an Earth-mass planet, and present a consistent expansion which is linear in the unknown quantities, with residuals multiple orders of magnitude below the Earth-mass planet signal. We also discuss numerical issues that can arise when simulating or analyzing these measurements.

Original languageEnglish (US)
Pages (from-to)1559-1569
Number of pages11
JournalAstrophysical Journal
Volume721
Issue number2
DOIs
StatePublished - Oct 1 2010

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

Keywords

  • Astrometry
  • Methods: analytical

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