We present theoretical predictions for the photometric and spectroscopic signatures of rings around transiting extrasolar planets. On the basis of a general formulation for the transiting signature in the stellar light curve and the velocity anomaly due to the Rossiter effect, we compute the expected signals analytically for a face-on ring system, and numerically for more general configurations. We study the detectability of a ring around a transiting planet located at a = 3 AU for a variety of obliquity and azimuthal angles, and find that it is possible to detect the ring signature both photometrically and spectroscopically unless the ring is almost edge-on (i.e., the obliquity angle, θ, of the ring is much less than unity). We also consider the detectability of planetary rings around a close-in planet, HD 209458b (θ ≈ 90° − i orbit ≈ 3 32), and Saturn (θ ≈ 26 7) as illustrative examples. While the former is difficult to detect with the current precision (photometric precision of 10 −4 and radial velocity precision of 1 m s −1 ), a marginal detection of the latter is possible photometrically. If the future precision of the radial velocity measurement goes below 0.1 m s −1 , they will even be detectable from ground-based spectroscopic observations.
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