  We derive the first secondary eclipse map of an exoplanet, HD 189733b, based
on Spitzer IRAC 8 micron data. We develop two complementary techniques for
deriving the two dimensional planet intensity: regularized slice mapping and
spherical harmonic mapping. Both techniques give similar derived intensity maps
for the infrared day-side flux of the planet, while the spherical harmonic
method can be extended to include phase variation data which better constrain
the map. The longitudinal offset of the day-side hot spot is consistent with
that found in prior studies, strengthening the claim of super-rotating winds,
and eliminating the possibility of phase variations being caused by stellar
variability. The latitude of the hot-spot is within 10.1 deg (68% confidence)
of the planet's equator, confirming the predictions of general circulation
models for hot Jupiters and indicative of a small planet obliquity.
