J.C.Maxwell's Study of the Stability of Saturn's Rings
   
  
 
 
  
 
  
   
      Joachim Köppen Kiel/Strasbourg Summer 2008  
   
  
 
 
 Here are four JAVA applets that visualize several aspects of Maxwell's
 study from 1856: 
 
 
     -  Solid Ring: the evolution of a 
             uniform solid ring around Saturn
     
 -  my Spirograph version of his mechanical
             demonstrator of the perturbation modes
     
 -  Full N-body Simulation of the movements of
             a number of moons in circular orbit around Saturn, showing the
             gravitational origin of the modes of the first order perturbations, 
             as well as the appearance of non-linear perturbations and their
             results
     
 -  Non-Uniform Solid Ring: the evolution of 
             a solid ring around Saturn of nearly arbitrary shape (this applet
             is still under development ...!)
 
 
  
  
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  last update: 9 Oct. 2008   J.Köppen