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The shapes of relativistic iron lines observed in spectra of candidate blackholes carry the signatures of the strong gravitational fields in which theaccretion disks lie. These lines result from the sum of the contributions ofall images of the disk created by gravitational lensing, with the direct andfirst-order images largely dominating the overall shapes. Higher order imagescreated by photons tightly winding around the black holes are often neglectedin the modeling of these lines, since they require a substantially highercomputational effort. With the help of the strong deflection limit, we presentthe most accurate semi-analytical calculation of these higher ordercontributions to the iron lines for Schwarzschild black holes. We show that tworegimes exist depending on the inclination of the disk with respect to the lineof sight. Many useful analytical formulae can be also derived in thisframework.

Relativistic iron lines in accretion disks: the contribution of higher order images in the strong deflection limit