We investigate an image-based strategy to compensate for cardiac motion-induced artifacts in Digital Chest Tomosynthesis (DCT). We apply the compensation to conventional unidirectional vertical "a†•"scan DCT and to a multidirectional circular trajectory O providing improved depth resolution. Propagation of heart motion into the lungs was simulated as a dynamic deformation. The studies investigated a range of motion propagation distances and scan times. Projection-domain retrospective gating was used to detect heart phases. Sparsely sampled reconstructions of each phase were deformably aligned to yield a motion compensated image with reduced sampling artifacts. The proposed motion compensation mitigates artifacts and blurring in DCT images both for "a†•"and O scan trajectories. Overall, the "O"orbit achieved the same or better nodule structural similarity index in than the conventional "a†•"orbit. Increasing the scan time improved the sampling of individual phase reconstructions.