Keplers Laws Physics Mrs Coyle Geocentric View Points

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Kepler’s Laws Physics Mrs. Coyle

Kepler’s Laws Physics Mrs. Coyle

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

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

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

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

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

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

Tycho Brahe (Danish) 1546 -1601 Worked on the Island of Hven near Copenhagen at

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

Brahe’s Compromise Theory

Johannes Kepler (1571 -1630) German Astronomer

Johannes Kepler (1571 -1630) German Astronomer

Kepler’s First Law (Law of Orbits): Planets move in elliptical orbits with the Sun

Kepler’s First Law (Law of Orbits): Planets move in elliptical orbits with the Sun at one of the focal points. ELLIPSE http: //www. physics. utah. edu/~cassiday/p 1080/lec 03_files/image 004. gif

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

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

Kepler’s 2 nd Law(The Law of Areas) A line from the sun to a

Kepler’s 2 nd 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?

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 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

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 ( _

Kepler’s Third Law ( Law of Periods or Law of Harmony) 2 ( _ T ___ ) a Tb 3 = ( _ r ___ ) a rb

EXAMPLE: An asteroid revolves around the sun with a mean orbital radius of three

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. 2 y

Video -9 Min http: //www. youtube. com/watch? v=W 073 Kn 40 K Z 0

Video -9 Min http: //www. youtube. com/watch? v=W 073 Kn 40 K Z 0