Not only does the Earth have a complex atmosphere, but that atmosphere has complicated motion and nontrivial behavior. We Earthlings call this weather in the short term and climate over the longer term. The following images illustrate some of the complex patterns that develop in Earth's atmosphere.
Left: GOES-7 image of weather patterns in the Americas and Eastern Pacific.
Middle: Hurricane Fran from GOES-8 (Ref).
Right: GOES-8 false-color image of water vapor in Earth's atmosphere (Ref).
links to current weather satellite images: