Although there are many astronomical oddities throughout the series, suggesting significant differences between our Earth and the Avatar world (or indicating the filmmakers' poor knowledge in astronomy), the first two episodes provide a generally accurate depiction of the sun's position at the southern polar region in December (we know it's December, because the winter solstice occurs shortly afterward): the sun is up around the clock (Sokka even mentions the midnight sun) and stands relatively low over the horizon. That being said, the sun is too low for the exact pole - only about 4-5 degrees. At the pole it should be around 20 degrees above the horizon in December. This can be explained if the village is about a thousand miles away from the pole (which is still within the polar circle, though). Or it can be simply added to the other oddities of the Avatar world. See more
Water. Earth. Fire. Air. My grandmother used to tell me stories about the old days, a time of peace, when the Avatar kept balance between the Water Tribes, Earth Kingdom, Fire Nation, and Air Nomads. But that all changed when the Fire Nation attacked. Only the Avatar mastered all four elements. Only he could stop the ruthless Firebenders. But, when the world needed him most, he vanished. A hundred years have passed, and the Fire Nation is nearing victory in the war. Two...