  Imaging of planets is very difficult, due to the glare from their nearby,
much brighter suns. Static and slowly-evolving aberrations are the limiting
factors, even after application of adaptive optics. The residual speckle
pattern is highly symmetrical due to diffraction from the telescope's aperture.
We suggest to break this symmetry and thus to locate planets hidden beneath it.
An eccentric pupil mask is rotated to modulate the residual light pattern not
removed by other means. This modulation is then exploited to reveal the
planet's constant signal. In well-corrected ground-based observations we can
reach planets six stellar magnitudes fainter than their sun, and only 2-3 times
the diffraction limit from it. At ten times the diffraction limit, we detect
planets 16 magnitudes fainter. The stellar background drops by five magnitudes.
