The Sun Return Festival
1Greyhaven Hollow is a small mountain town at 47° north latitude. It sits at the bottom of a deep valley that runs from east to west. Just south of town, a steep forested ridge rises high above the rooftops. Seen from the town square, the top of the ridge is 26° above the horizon due south. Each winter, for about twelve weeks, the noon Sun stays behind the ridge and no direct sunlight reaches the square, although the sky above is still bright. In summer, by contrast, sunlight floods the square from late morning until late afternoon. The town marks the first day the Sun peeks over the ridge again with a Sun Return festival.
2Eighth grader Zsófia Szántó-Obi and her science class wrote a page for the festival's website. They used a sky app to record the height of the noon Sun and the length of the day on flat ground at 47° N (Table 1). They also looked up Earth's distance from the Sun: about 147 million km in early January and about 152 million km in early July.
3To explain the data, the class built a model. A lamp in the middle of a dark room stood for the Sun. A globe with its axis tilted 23.5° was carried in a big circle around the lamp, and its axis always pointed toward the same corner of the room. A sticker marked Greyhaven Hollow. At one spot on the circle, the north end of the axis leaned toward the lamp, and the light struck the sticker from high above. Half a circle later, the north end leaned away from the lamp, and the light struck the sticker at a low slant.
4Next, the class added a small white ball for the Moon and carried it around the globe once for each trip of a month. Like the globe, the ball was always half lit by the lamp. Their teacher, Mr. Osvaldo Okoro-Haldane, added one more fact: the Moon's orbit is tipped only about 5° from the path of Earth around the Sun, so the Moon moves across the sky along nearly the same paths that the Sun takes at different times of year.