Abstract
We obtain analytical expressions for the velocity anomaly due to the
Rossiter-McLaughlin effect, for the case when the anomalous radial velocity is
obtained by cross-correlation with a stellar template spectrum. In the limit of
vanishing width of the stellar absorption lines, our result reduces to the
formula derived by Ohta et al. (2005), which is based on the first moment of
distorted stellar lines. Our new formula contains a term dependent on the
stellar linewidth, which becomes important when rotational line broadening is
appreciable. We generate mock transit spectra for the exoplanetary systems
HD17156 and TrES-4 following the procedure of Winn et al. (2005), and find that
the new formula is in better agreement with the velocity anomaly extracted from
the mock data. Thus, our result provides a more reliable analytical description
of the velocity anomaly due to the Rossiter-McLaughlin effect, and explains the
previously observed dependence of the velocity anomaly on the stellar rotation
velocity.
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