In addition to rotating along its vertical axis, the sun also tilts alont its horizontal axis. This tilt results in changing seasons as well as the “north-south” movement that you observe.
When the earth is tilted with the northern hemisphere closer to the sun, it is spring/summer in the north. The first day of summer is when the North Pole is closest to the sun. The angle of incidence — the angle at which the sun hits the surface of the earth — is smaller New York and larger in Buenos Aires. When the southern hemisphere is tilted closer to the sun, the angle of incidence in the northern hemisphere is larger. It is fall/winter time in the north. Shadows at 12:00 noon are longer, and the sun seems to be coming from the south. Well, the sun IS actually coming more from the south, but not because the sun has moved — it is because the earth has tilted the northern hemisphere away from the sun.
The sun does not move from north to south. The sun actually moves across the sky from east to west. This is due to the rotation of the earth, meaning that the earth rotates in the eastern direction. As the earth spins so that the side of the planet not facing the sun, which is the side where it is night, the sun will “rise” in the east. View this image for a diagram: http://www.uwsp.edu/geo/faculty/ritter/geog101/textbook/energy/earth_1.jpg
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