Astronomy and Astrophysics – Astrophysics – Instrumentation and Methods for Astrophysics
Scientific paper
2010-04-28
Dmitry Savransky and N. Jeremy Kasdin 2010 ApJ 721 1559
Astronomy and Astrophysics
Astrophysics
Instrumentation and Methods for Astrophysics
23 pages, 2 tables, 8 figures
Scientific paper
10.1088/0004-637X/721/2/1559
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.
Kasdin Jeremy N.
Savransky Dmitry
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