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anonymous
 4 years ago
Evil integration problem!
anonymous
 4 years ago
Evil integration problem!

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Concerning the first law of gravitation, I am seeing whether the same result can be achieved by integration as if you treat a planet (orbiting the son) as a pointlike particle (at its centre of mass)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Firstly, consider the sun. If we draw a circle around the it, we can say that the same force will act on 1kg anywhere in the circle.dw:1328041371179:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now, consider a planet orbiting the sundw:1328041409993:dw (Not to scale)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328041434214:dw All the 'particles' in the arc will experience the same force. The area of the arc is, for any point xt :\[2\pi*q*\theta/360\] All terms in the drawing can be easily worked out as functions of x, taken that z and r are constants. What would you actually do to work out the area and the force acting on it due to Newton's First Law of Gravitation by integration?
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