Kepler’s Laws Physics Mrs. Coyle.

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Presentation transcript:

Kepler’s Laws Physics Mrs. Coyle

Geocentric View Points Aristotle (Greek) 384-322 BC Ptolemy (Alexandrian Greek) 85-65AD

Heliocentric Viewpoints Aristarchus (Greek)310-230 BC Copernicus (Poland and Italy) 1473-1543 Galileo Galilei (Italian) 1564-1642

Tycho Brahe (Danish) (Dec 14)1546-1601

Tycho Brahe (Danish) 1546-1601 Worked on the Island of Hven near Copenhagen at the Uraniborg Observatory Compromise Theory: The Sun orbits the Earth, but the remaining planets orbit the Sun. Btrahe passed along his observations to Johannes Kepler, his assistant.

Brahe’s Compromise Theory

Johannes Kepler (1571-1630) German Astronomer

Kepler’s First Law (Law of Orbits): Planets move in elliptical orbits with the Sun at one of the focal points. E L L I P S E http://www.physics.utah.edu/~cassiday/p1080/lec03_files/image004.gif

Kepler’s Laws Animation http://astro.unl.edu/naap/pos/animations/kepler.swf

Kepler’s 2nd Law(The Law of Areas) A line from the sun to a planet sweeps out equal areas in equal lengths of time.

Where is the speed of the earth greater, point B or C?

Kepler’s Laws Animation http://astro.unl.edu/naap/pos/animations/kepler.swf

Kepler’s Third Law ( Law of Periods or Law of Harmony) The square of the orbital period of a planet is directly proportional to the cube of the average distance of the planet from the Sun. K for our Solar System

Kepler’s Third Law ( Law of Periods or Law of Harmony) 2 3 ( _ Ta___ ) = ( _ ra ___ ) Tb rb

EXAMPLE: An asteroid revolves around the sun with a mean orbital radius of three times that of the earth. What is the period of the asteroid in earth years? Answer: 5.2y

Video -9 Min http://www.youtube.com/watch?v=W073Kn40KZ0