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   sci.physics.research      Current physics research. (Moderated)      17,516 messages   

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   Message 17,440 of 17,516   
   Jonathan Thornburg [remove -color t to Luigi Fortunati   
   Re: Newton's Gravity   
   03 Jan 25 22:18:17   
   
   From: dr.j.thornburg@gmail-pink.com   
      
   In article  Luigi Fortunati wrote:   
   > Suppose that body A has mass M=1000 and body B has mass m=1 [[...]]   
   >   
   > If another unit mass 1 is added to body B, its mass doubles to m=2 and   
   > the force acting between the two bodies also doubles, [[...]]   
   >   
   > But if the other unit mass is added to body A (instead of body B) the   
   > mass of A will become equal to M=1001 (remaining almost unchanged) just   
   > as the force between the two bodies remains practically unchanged [[...]]   
   >   
   > Why does the force acting between the two bodies double if we add the   
   > unit mass to body B and, substantially, does not change if we add it to   
   > the mass of body A?   
      
   In article , I replied   
   | Why not?  Why might we expect the effects of adding mass in one location   
   | (A) to be the same as those of adding mass in a different location (B)?   
      
   In article , Luigi replied   
   > Yes, we *should* expect the same effects if we mean the same thing by   
   > "effects."   
   >   
   > I'm talking about masses (causes) and forces (effects): what effects   
   > are you talking about?   
      
   Let's analyze a somewhat more general system:  Suppose we have a pair   
   of masses A and B, and consider the effects of adding a mass C at either   
   position #1 or position #2.   
   	[Luigi's original question had position #1 = position   
   	of A, position #2 = position of B, mass A = 1000, mass   
   	B = 1, and mass C = 1, but I find it useful to consider   
   	the more generic case.]   
      
   A+B+C1 and A+B+C2 are *physically different* systems (going from one to   
   the other involves moving the mass C from position #1 to position #2).   
   So why should we expect any of the following Newtonian gravitational   
   effects to be the same between these two *physically different* systems:   
   * Newtonian gravitational potential U at some test point X   
   * Newtonian gravitational acceleration "little-g" at some test point X   
     (= - gradient of U)   
   * force between A+C1 and B versus force between A and B+C2   
      
   In fact, it's easy to see that all three of these "effects" differ...  as   
   we should expect, because (again) we're comparing *physically different*   
   systems.   
      
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