Published December 30, 2005
by Kessinger Publishing .
Written in English
|The Physical Object|
|Number of Pages||48|
Kepler and the Laws of Planetary Motion. Primary Sources of Revolutionary Scientific Discoveries and Theories. Using primary sources, this book illustrates the timeline of Kepler's discovery of planetary motion. His finding helped usher in an age of scientific discovery that had never existed before, with science replacing religion as the basis. Get this from a library! Kepler and the laws of planetary motion. [Heather Hasan] -- Describes the work of Kepler and his discovery of how the planets move in their orbits around the Sun. Through his analysis of the motions of the planets, Kepler developed a series of principles, now known as Kepler’s three laws, which described the behavior of planets based on their paths through space. The first two laws of planetary motion were published in . Kepler’s Second Law: The shaded regions have equal areas. It takes equal times for m to go from A to B, from C to D, and from E to F. The mass m moves fastest when it is closest to M. Kepler’s second law was originally devised for planets orbiting the Sun, but it has broader validity.
KEPLER’S LAWS OF PLANETARY MOTION 1. Planets move around the Sun in ellipses, with the Sun at one focus. 2. The line connecting the Sun to a planet sweeps equal areas in equal times. The laws were made possible by planetary data of unprecedented accuracy collected by Tycho Brahe. The laws were both a radical departure from the astronomical prejudices of the time and profound tools for predicting planetary motion with great accuracy. Kepler, however, was not able to describe in a significant way why the laws worked. Kepler’s three laws of planetary motion can be stated as follows: (1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci. (2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time. Using primary sources, this book illustrates the timeline of Kepler s discovery of planetary motion. His finding helped usher in an age of scientific discovery that had never existed before, with science replacing religion as the basis for understanding the universe. Also included are Kepler s notes and manuscripts as well as reproductions of some of the tools he used.
Kepler's three laws of planetary motion can be described as follows: The path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus. (The Law of Ellipses) An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. Kepler’s first law states that every planet moves along an ellipse, with the Sun located at a focus of the ellipse. An ellipse is defined as the set of all points such that the sum of the distance from each point to two foci is a constant. Figure shows an ellipse and describes a simple way to create it. The system is isolated from other massive objects. Based on the motion of the planets about the sun, Kepler devised a set of three classical laws, called Kepler’s laws of planetary motion, that describe the orbits of all bodies satisfying these two conditions: The orbit of each planet around the sun is an ellipse with the sun at one focus. Kepler’s Three Laws of Planetary Motion • 1st Law – All Planets move in elliptical orbits with the sun at one focus • 2nd Law – A line joining the planet to the sun sweeps out equal area in equal time. (Planets move faster when closer to the sun) Kepler’s Three Laws of Planetary Motion • 3rd Law – The square of the period of any planet is.