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Origins of Modern Astronomy
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Nebular Hypothesis (pg. 3) –Solar nebula »Large rotating cloud »Mostly made of hydrogen and helium »Made our solar bodies
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Solar System formation Nebular hypothesis Nebula (cloud) rotates and collapses toward the center Cooling causes tiny solid particles Particles collide and form asteroid sized bodies to form terrestrial planets Lighter material and gases collect to form outer planets
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Layers form on earth Decay of radioactive material and heat released by colliding material cause melting of interior Iron and nickel sink to interior Lighter material float out Gases escape to form atmosphere
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Separation and Density Demo Why didn’t the solids separate? Why did the liquids separate? What state was Earth most likely in when it separated into layers
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Quiz 1 1.Describe the Nebular Hypothesis 2.What state was the earth most likely in when it separated into layers? Homework: Read pg. Section 2 Chapter 24 Review pg. 683
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Early Astronomy Section 22.1 Astronomy –Science of studying the universe Properties of objects in space Laws of how the universe works
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Golden Age 600 BC-AD 150 Aristotle Greek philosopher (384-322 BC) Earth is round Casts a curved shadow when passes between sun and moon His belief was abandoned during the Middle Ages
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Eratosthenes 276-194 BC First successful attempt to figure out the size of the earth Hipparchus 2 nd Century BC Divided stars into six groups according to brightness Method for predicting lunar eclipses
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Geocentric model Moon, sun and planets orbit the earth Celestial sphere (stars) orbits the earth Incorrect
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Heliocentric Model Aristarchus (Greek 312-230 BC) Earth and other planets orbit the sun Model Location of Earth Location of Sun Who supports Geocentric Center of the universe Orbits earth Aristotle, Ptolemy HeliocentricOrbits sun Center of the universe Aristarchus, Copernicus
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Ptolemaic System Claudius Ptolemy, wrote a 13 volume work on Greek astronomy Geocentric, used epicycles to explain the varying brightness of planets and planet retrograde motions Used mathematical terms to explain the heavenly bodies
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Nicolaus Copernicus 1473-1543 (Poland) Earth is a planet like other planets Earth rotates Solar system with sun at the center Orbits were circular, was unable to improve how we predict where planets are located
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Ptolemy and epicycles revisited http://astro.unl.edu/naap/ssm/animations/p tolemaic.htmlhttp://astro.unl.edu/naap/ssm/animations/p tolemaic.html
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Tycho Brahe 1546-1601 Denmark Developed instruments to measure the locations of heavenly bodies Collected a vast amount of data that Keplar was able to use to build his laws of planetary motion
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Johannes Keplar 1571-1630 Three laws of planetary motion –Keplar observed: Mars orbit was elliptical As Mars approaches the sun it speeds up and slows down as it goes away from the sun
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Three laws of planetary motion 1.The path of each planet around the sun is an ellipse with the sun at one focus. 2.Each planet revolves around the sun so that it sweeps over equal areas in equal amounts of time causing it to travel more rapidly in areas closer to the sun. 3.The square of the orbital period is proportional to the cube of its distance from the sun. (d 3 = p 2)
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Kepler’s laws http://www.astro.utoronto.ca/~zhu/ast210/k epler.htmlhttp://www.astro.utoronto.ca/~zhu/ast210/k epler.html
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Easy math If planet A is 4 units from the sun then what is its orbital period. (d 3 = p 2)
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Another way to say them 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. (The Law of Equal Areas) http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (The Law of Harmonies)
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Keplar’s laws http://www.youtube.com/watch?v=5a2mcE- tzKE http://www.youtube.com/watch?v=GcKiG- CuvtA
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Let’s watch different planets in action http://astro.unl.edu/classaction/animations/ renaissance/kepler.htmlhttp://astro.unl.edu/classaction/animations/ renaissance/kepler.html
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Astronomical Unit AU The average distance between the Earth and the sun. About 150 million kilometers All other planets are measured in AU Earth is 1 AU Period of Revolution and Solar distances are found in table 1 on page 618 of the Earth Science Book
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Visualizing an Astronomical Unit You need roll of adding machine tape Using the chart on page 618, mark off the distance in AU of each planet from the sun. Each meter will represent 10 AU. (so is 1 AU=1/10 meter=10 cm.)
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Homework Read 614-621 Do problems 1-7 (yes do the math practice!!!)
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Galileo Galilei 1564-1642 Developed telescope Discoveries 1.Four satellites around Jupiter which proved Earth was not the only center of motion 2.Planets are circular disks and not points of light 3.The moon’s surface was not smooth 4.Sun has dark spots 5.Retrograde motion is due to planets passing the earth in their orbits Galileo stated no force is required to keep an object in motion (inertia)
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Venus Phases How many phases does Venus go through? What is the cause of these phases?
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Retrograde motion http://highered.mcgraw- hill.com/olcweb/cgi/pluginpop.cgi?it=swf::80 0::600::/sites/dl/free/0072482621/78780/Ret ro_Nav.swf::Retrograde%20Mo \
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Galileo and Venus How did Venus retrograde motion definitely prove that the sun is at the center of the solar system? Turn to your table group and see if you can figure it out
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Newton Mathematician Invented calculus to solve the gravity
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Newton: Three laws of motion Law 1: An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force. This law is often called "the law of inertia". http://teachertech.rice.edu/Participants/lo uviere/Newton/law1.html
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Law 2 Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object). http://teachertech.rice.edu/Participants/lou viere/Newton/law2.htmlhttp://teachertech.rice.edu/Participants/lou viere/Newton/law2.html Force=mass x acceleration Force g =mass x gravitational acceleration
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A little math If Marvin the Martian is 100 lbs on Earth how much would he weigh on the moon if the surface gravity is 17% of that on Earth? Weight=mass x gravitational acceleration Or weight = weight on earth x specific gravity Now see if you can figure it out W= 100 lbs x.17=17 lbs.
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Law 3 For every action there is an equal and opposite re-action. http://teachertech.rice.edu/Participants/lou viere/Newton/law3.htmlhttp://teachertech.rice.edu/Participants/lou viere/Newton/law3.html
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Sir Isaac Newton 1642-1727
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Newton in a nutshell Without the influence of gravity, planets would move in a straight line out into space. The tendency of planets to remain in a straight line and the force of gravity result in elliptical patterns
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Using Newton’s gravity Basically Force is proportional to the product of the mass of two objects/distance between them squared so: If the mass doubles the force doubles but if the distance doubles then you have ¼ the force. So you can figure weight of an object if you know the distance from earth
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Another problem If Marvin is 36 lbs how much is his weight if he is at 2r (distance from Earth) Weight = 36/2 2 36/4=9lbs
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So if this is true and astronauts at the space station are still within the earth’s gravity, why do they experience weightlessness??? http://www.youtube.com/watch?v =2V9h42yspbo
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Vomit Comet http://www.youtube.com/watch?v= 2V9h42yspbo
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So what did Einstein have to say about gravity? But what is gravity, what is it that attracts to objects to one another? http://www.youtube.com/watch?v=O- p8yZYxNGc http://www.youtube.com/watch?v=O- p8yZYxNGc http://www.youtube.com/watch?v=DbhuRcm SkMg&feature=related
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Gravity as Curved Space
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