Observational Window Functions in Planet Transit Searches

Mathematics – Probability

Scientific paper

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Scientific paper

Window functions describe, as a function of period, the probability that an existing planetary transit is theoretically detected for given observing strategy and data properties. We show the dependence of this probability upon several observational and astrophysical parameters, such as observing cadence, transit duration, length of observing run, and others. Since the definition of a transit detection is directly related to the signal-to-noise ratio of the observations, we include white noise as well as statistically correlated (red) noise considerations. Finally, we examine additional detection requirements, such as the stipulated sampling of one or more full transits, and discuss their effects on window functions.

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