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History of Astronomy. Stonehenge. Dates from Stone Age (2800 B.C.) Construction spanned 17 centuries. Sun Dagger Chaco Canyon, NM. Sliver of light passes through carved stone at noon on the summer solstice. Ancient Chinese. Observed the heavens, records of comets
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Stonehenge • Dates from Stone Age (2800 B.C.) • Construction spanned 17 centuries
Sun Dagger Chaco Canyon, NM • Sliver of light passes through carved stone at noon on the summer solstice
Ancient Chinese • Observed the heavens, records of comets • Historical data still used today
Greek Models of the Universe • Geocentric (Earth Centered) or Ptolemaic, A.D. 140
Ptolemaic model • http://www.csit.fsu.edu/%7Edduke/nmoon6.html
Jupiter and Saturn Retrograde motion • http://antwrp.gsfc.nasa.gov/apod/ap011220.html
Heliocentric Model (Sun centered) • Aristarchus (290 B. C.), forgotten for 1800 years
Muslim astronomy • Key link from ancient Greeks during Dark Ages • Examples of Muslim terms: Zenith and star names such as Vega, Betelgeuse
Nicolaus Copernicus(Mikołaj Kopernik) • Rediscovered Aristarchus’s heliocentric model
De revolutionibusorbiumcoelestium(On the Revolutions of the Celestial Spheres) • Published just before his death in 1543 • Starting point of modern astronomy • Placed on the Catholic Church’s Index of Prohibited Books in 1616
Galileo Galilei • Built a telescope in 1609 • His work supported Copernicus • Found 4 moons orbiting Jupiter
Published SidereusNuncius (The Starry Messenger) in 1610 • Banned in 1616
Johannes Kepler • Contemporary of Galileo
Kepler’s First Law • The orbital paths of the planets are elliptical, not circular, with the Sun at one focus
Kepler’s Second Law • An imaginary line connecting the Sun to any planet sweeps out equal areas of the ellipse in equal intervals of time
Kepler’s second law • http://www.youtube.com/watch?v=_3OOK8a4l8Y&feature=related • http://www.astro.virginia.edu/class/oconnell/astr121/im/kepler-2ndanim-NS.gif
Kepler’s Third Law • The square of a planet’s orbital period is proportional to the cube of its semimajor axis P2 = a3 where P is in Earth years and a is in astronomicalunits • 1 astronomical unit (AU) = avg. distance from the Earth to the Sun
Pluto’s semimajor axis (average distance from the Sun) is approximately 40. AU. Calculate the period of Pluto • a = 40. AU And a3 = 64,000 • P2 = a3 • P2 = 64,000 • P = √64,000 • P = 250 years
Issac Newton • Published PhilosophiaeNaturalis Principia Mathematica in 1687 • Possibly most influential physics book ever written • Newtonian mechanics WHY the planets move according to Kepler’s Laws
Newton’s inverse square law • The acceleration due to gravity is inversely proportional to the square of the distance
2.8 Newtonian Mechanics Escape speed: the speed necessary for a projectile to completely escape a planet’s gravitational field. With a lesser speed, the projectile either returns to the planet or stays in orbit.
Newton’s Cannon • http://galileoandeinstein.physics.virginia.edu/more_stuff/Applets/newt/newtmtn.html
2.7 Newton’s Laws Newton’s first law: An object at rest will remain at rest, and an object moving in a straight line at constant speed will not change its motion, unless an external force acts on it.
2.7 Newton’s Laws Newton’s second law: When a force is exerted on an object, its acceleration is inversely proportional to its mass: a = F/m Newton’s third law: When object A exerts a force on object B, object B exerts an equal and opposite force on object A.
2.7 Newton’s Laws Gravity On the Earth’s surface, acceleration of gravity is approximately constant, and directed toward the center of Earth
2.7 Newton’s Laws Gravity For two massive objects, gravitational force is proportional to the product of their masses divided by the square of the distance between them
2.8 Newtonian Mechanics Kepler’s laws are a consequence of Newton’s laws; first law needs to be modified: The orbit of a planet around the Sun is an ellipse, with the center of mass of the planet–Sun system at one focus.
William Hershel • Discovered Uranus (1781), • Key figure of The Age of Enlightenment
Caroline Hershel • Discovered several comets
Einstein • Annus mirabilis (1905) • Published 4 articles in the AnnalenderPhysik Changed views on space, time, and mattermatter
Steven Hawking • Gravitational singularities • Black holes
History of Planetariums • Antikythera mechanism mechanical computer • ~ 100 BC, Greek
Summary of a few important concepts from chapter 2 • First models of solar system were geocentric but couldn't easily explain retrograde motion • Heliocentric model does; also explains brightness variations • Galileo's observations supported heliocentric model • Kepler found three empirical laws of planetary motion from observations
Question 1 a) planets move on epicycles. b) planets orbit the Sun in the same direction. c) Earth moves faster in its orbit. d) they are closer than Uranus. e) they rotate quickly on their axes. Mars, Jupiter, and Saturn show retrograde motion because
Question 1 a) planets move on epicycles. b) planets orbit the Sun in the same direction. c) Earth moves faster in its orbit. d) they are closer than Uranus. e) they rotate quickly on their axes. Mars, Jupiter, and Saturn show retrograde motion because As Earth overtakes and “passes” the outer planets, they seem to slow down and reverse direction.
Question 2 a) The Earth rotated. b) The Sun rotated. c) The geocentric model couldn’t account for day and night. d) The Earth revolved around the Sun. e) The Sun orbited Earth. How did the geocentric model account for day and night on Earth?
Question 2 a) The Earth rotated. b) The Sun rotated. c)The geocentric model couldn’t account for day and night. d) The Earth revolved around the Sun. e)The Sun orbited Earth. How did the geocentric model account for day and night on Earth? The geocentric model held that the Earth was motionless in the center of the universe.