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Unit 8: The Earth in Space I. Motion of Stars and Planets • Earth and all other planets orbit the sun in elliptical paths. This kind of motion is known as revolution. The universe according to “Ptolemy” had the earth at the center • During the 2nd Century, Ptolemy’s followers believed that all the stars were on a sphere which surrounded the earth and made one trip around earth each day. Copernicus changed this by postulating that the sun was the center of our “solar system” • Earth and all the planets simply orbited around the sun in concentric, elliptical orbits. Constellations are figures that people have observed to mark the position of the stars. There are two major motions of the earth…. • Rotation - the spinning of the earth on its axis resulting in daily changes such as the rising and setting of the sun and moon. • Revolution - the movement of the earth in its orbit around the sun resulting in yearly changes such as the changing seasons. Evidence for the rotation of the earth includes star trails….. The Earth’s rotation on its axis causes the sun and stars to appear as if they move through the night sky. The apparent movement of the constellations around “Polaris”... and the apparent movement of a Focault pendulum at the north pole caused by the earth rotating beneath it….. The rising and setting of the sun are caused by the rotation of Earth Path of the sun’s apparent motion in New York State Note the following…. • At the winter solstice, the sun rises south of due east and sets south of due west. • At the equinoxes, the sun rises due east and sets due west. • At the summer solstice, the sun rises north of due east. Also note that…. • In New York State, the sun is NEVER directly overhead. • During the winter the sun’s AOI and duration are smallest. Summer, AOI and duration are greatest. Remember that the seasons are caused by the tilt of the axis during revolution. Kepler’s Laws of Orbital Mechanics • Law 1 states that the orbits of planets are ellipses, with the sun at one of two foci and the other focus being a point out in space. Kepler’s Second Law…... • states that the orbital speed of planets increases as the sun and planet grow closer and decreases as the distance between the sun and planet increase. Kepler’s Second Law…. • also states that a line connecting the planet to the sun sweeps out an area in such a manner that equal areas are swept out in equal time. • This area is equal to • This area Kepler’s Third Law of Orbital Mechanics states that….. • Planets closer to the sun have a shorter period of revolution (a “year”) than planets farther away from the sun. • Earth = 365 days • Saturn = 29.5 yrs. Retrograde Motion….. • When viewed from earth, Mars moves east among the stars each day, then periodically stops and appears to move west due to the fact that Earth has a faster orbital speed than Mars and overtakes it. All of these elliptical orbits occur because of the balance between inertia and gravity. • The planet attempts to move outward in a straight line due to inertia. • The planet also attempts to plunge back into the sun due to gravity. • The balance creates an orbital effect.