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FEYNMAN LECTURES ON PHYSICS: The Theory of Gravitation
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Planetary Motion “one of the most far-reaching generalizations of the human mind” Story begins with the discovery that the planets go around the sun Copernicus re-discovered this Tycho Brahe decided to measure the planets positions (15 th century) Kepler studied Brahe work and came up with a set of laws
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Kepler’s laws Found each planet goes round sun in an ellipse with sun at focus Planets move faster when nearer the sun The relationship between the orbit size and the period of any planet can be given by T α a 3/2
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Development of Dynamics “An eclipse is not just an oval, but is a very specific and precise curve that can be obtained by using two tacks” People believed that Planets kept going round as angels were pushing them. Galileo was studying why the planets orbit A body will keep moving until a force is acted upon it (inertia) The force needed to keep a planet in orbit acts towards the sun not tangentially
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Newton’s law of Gravitation “It falls away from the straight line that it would pursue” Newton noticed the law of areas is because the force is acting towards the sun Newton showed from Kepler’s third law and the fact that the force is toward the sun to show that there is a force which acts between to objects and it is inversely proportional to the distance Newton generalised the force of gravity
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Newton’s law of Gravitation “It falls away from the straight line that it would pursue” Newton compared ball falling on Earth to moon falling in space to show the validity of inverse square law Objects fall 16 feet in one second whether horizontal or vertical release If you shoot a bullet quick enough the height in one second will be the same as when it left as the earth is curved The law of Gravitation explains the tides
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Universal Gravitation We can deduce that the planets, sun and moon should be nearly spheres Explained the moons of Jupiter (and the light) Explained the orbit of Uranus and found planet (Neptune) Explained the motion of double stars around one another Works out to distances as far as Galaxies
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Cavendish Experiment The experiment is called – “weighing the Earth’” Cavendish designed an experiment to weight the Earth Relates the attraction between the masses to the torsion in the wire and the oscillatory movement Found that G = 6.67 (10 -11 ) Used G to calculate the weight of the Earth
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What is Gravity? There are many theories of what gravity is not just how it works One such theory was an ether No relation of gravity to the other forces like electromagnetic Behaviour of forces is very similar (unified theory) Ratio between forces is massive
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Gravity and Relativity “In spite of all the excitement it caused Newton’s law of Gravitation is not correct” Einstein modified Newton’s laws of Gravitation Added in the effects of relativity to make Einstein’s law of gravitation Since light has energy and energy is mass, then light can be deflected by an object Challenge to quantify gravity to use quantum mechanics
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