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Not Newton but Gauss
Not Newton but Gauss
Newton only had a vague idea of gravity. The first scientist to derive the universal gravitational law Fg = G*(M*m/sma^2) was Gauss. He derived it from Kepler's planetary laws. First Gauss established the value of G (6.674E-11) with G = sma*v^2/M where sma = semi major axis in m of any planet, v = periodical velocity in m of the same planet and M = the mass of the sun. The gravitational constant G was found in 1798 by Cavendish in the laboratory but Gauss calculated it with his own formula. Gauss then used two laws to formulate Fg = G*(M*m/sma^2): The area swept by a line joining a body and the Sun divided by the time in which it is swept gives a constant quotient. This is Kepler's second law of planetary motion. The square of this quotient is proportional to the parameter p (that is, the latus rectum) of the orbit and the sum of the mass of the Sun and the orbiting body. This is a modified form of Kepler's third law. |
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Not Newton but Gauss
Dne 08/02/2018 v 04:42 Peter Riedt napsal(a):
Not Newton but Gauss Newton only had a vague idea of gravity. Therefore fact he was the first to be able to calculate possible trajectories with usage of the infinitesimal calculus he developed* had to be a famous success. It was used routinely by many astronomers ( often months of manual calculations ) before Gauss. * in parallel with Leibnitz -- Poutnik ( The Pilgrim, Der Wanderer ) A wise man guards words he says, as they say about him more, than he says about the subject. |
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Not Newton but Gauss
On Thursday, February 8, 2018 at 4:13:47 PM UTC+8, Libor 'Poutnik' StÅ™Ã*ž wrote:
Dne 08/02/2018 v 04:42 Peter Riedt napsal(a): Not Newton but Gauss Newton only had a vague idea of gravity. Therefore fact he was the first to be able to calculate possible trajectories with usage of the infinitesimal calculus he developed* had to be a famous success. It was used routinely by many astronomers ( often months of manual calculations ) before Gauss. * in parallel with Leibnitz -- Poutnik ( The Pilgrim, Der Wanderer ) A wise man guards words he says, as they say about him more, than he says about the subject. I agree. |
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