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Kepler’s Laws. A word on vocab The laws Third law in motion. A word of Vocab. Ellipse locus of points on a plane where the sum of the distances from any point on the curve to two fixed points is constant Focus (foci) Counterpoints of an ellipse Semi-major axis
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Kepler’s Laws A word on vocab The laws Third law in motion
A word of Vocab • Ellipse • locus of points on a plane where the sum of the distances from any point on the curve to two fixed points is constant • Focus (foci) • Counterpoints of an ellipse • Semi-major axis • Average of the distance from any point on the ellipse to the foci
Kepler’s First Law • Planets orbits are elliptical with the sun at one foci
Kepler’s Second Law • A line from the sun sweeps over equal area in equal time intervals. • Telling us that planets mover faster as they get closer to the sun. • Area a=Area b = Area c
Kepler’s Third Law • The square of a planet’s Period of revolution (p) is equal to the cube of the planet’s average distance to the sun (semi major axis) (a) • Or p2 = a3 • Semi major axis is measured in astronomical units (AU) • The earth is 1 AU from the sun
3rd Law put to use • Earth: • Period of revolution (P) = 1 year • Semi major axis (a) = 1 AU • p2 = a3 ? • 1=1 • Mars: • Period of revolution (P) = 1.881 years • Semi major axis (a) = 1.524 Au • p2 = a3 ? • 3.54 = 3.54