  We describe a new series of band-limited image masks for coronagraphy that
are insensitive to pointing errors and other low-spatial-frequency optical
aberrations. For a modest cost in throughput, these ``eighth-order'' masks
would allow the Terrestrial Planet Finder Coronagraph (TPF-C) to operate with a
pointing accuracy no better than that of the Hubble Space Telescope. We also
provide eighth-order notch filter masks that offer the same robustness to
pointing errors combined with more manageable construction tolerances: binary
masks and graded masks with moderate optical density requirements.
