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inverse square law (physics)

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In his notes, Newton wrote that the inverse square law arose naturally due to the structure of matter.
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After these explanations were discounted, some physicists were driven to the more radical hypothesis that Newton's inverse-square law of gravitation was incorrect.
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When Newton presented Book 1 of the unpublished text in April 1686 to the Royal Society, Robert Hooke made a claim that Newton had obtained the inverse square law from him.
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The energy that solar arrays can derive from sunlight decreases in accordance with the inverse square law: as the distance from the Sun increases, the power available to a spacecraft using solar power diminishes.
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In particular, Newton determined that the acceleration of the Moon around the Earth could be ascribed to the same force of gravity if the acceleration due to gravity decreased as an inverse square law.
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This approximation also allows Newton to consider a great variety of central force laws, not merely inverse-square and inverse-cube force laws.
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However, the Ewald method has enjoyed widespread use since the 1970s in computer simulations of particle systems, especially those whose particles interact via an inverse square force law such as gravity or electrostatics.
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According to the inverse-square law, the intensity of light radiating from a point source (in this case a bulb) that reaches a surface is inversely proportional to the square of the surface's distance from the source (if an object is twice as far away, it receives only a quarter the light) which is a serious hurdle for indoor growers, and many techniques are employed to use light as efficiently as possible.
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By moving the candle and using Kepler 's inverse square law he was able to measure brightness.
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He demonstrated an inverse square law for such forces and went on to examine perfect conductors and dielectrics.
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A simple law of physics called the inverse square law .
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Due to the inverse square law, the radiation at perihelion is about 106.9% the energy at aphelion.
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As a result of this Huygens, Hooke , Halley and Wren formulated the inverse-square law of gravitational attraction.
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His inaugural lecture at Oxford is reproduced in which gives interesting background on the inverse square law of gravitation.
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From his law of centrifugal force and Kepler 's third law of planetary motion, Newton deduced the inverse-square law.
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Some attacked Clairaut's announcement, for example Buffon who used a metaphysical argument based on the simplicity of the inverse square law.
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Clairaut, more confident with Euler 's support, announced to the Paris Academy on 15 November 1747 that the inverse square law was false.
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The first conclusions that he drew from his work was that Newton 's theory of gravity was incorrect and that the inverse square law did not hold.
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Wren , Hooke and Halley then discussed whether it could be shown that the inverse square law implies elliptical orbits for the planets, but failed to come up with a proof.
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He had shown that Kepler 's third law implied the inverse square law of attraction and presented the results at a meeting of the Royal Society on 24 January 1684 .
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In 1672 Hooke attempted to prove that the Earth moves in an ellipse round the Sun and six years later proposed that inverse square law of gravitation to explain planetary motions.
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Clairaut suggested that a term in 1/r4 needed to be added and Euler (perhaps rather wisely) agreed that Clairaut had found the error in the inverse square law before he had.
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It is an interesting paper but it contains some errors and shows that Maupertuis has not fully understood Newton 's inverse square law and the resulting gravitational force within a solid body.
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We should note that although Newton , about 30 years later, proved the connection between the inverse square law and elliptical orbits, Wren himself (as did Hooke ) both independently suggested the inverse square law of attraction.
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In it, Kepler described the inverse-square law governing the intensity of light, reflection by flat and curved mirrors, and principles of pinhole cameras , as well as the astronomical implications of optics such as parallax and the apparent sizes of heavenly bodies.
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