From: helbig@asclothestro.multivax.de   
      
   In article , Keith Stein   
    writes:   
      
   > I suspect there could be a simple relationship of the form:   
      
   On what grounds, other than just trying to fit the data?   
      
   >      ( constant orbital speed )^2 = K * mass of galaxy   
   >   
   > I arrive at this by assuming that for spiral galaxies there is, in   
   > addition to the usual Newtonian inverse square gravitation, an   
   > additional inverse linear relationship.   
      
   This means that there is a logarithmic potential, which doesn't go to   
   zero at infinity.  Difficult.   
      
   > At normal distances the linear term is clearly very small and can be   
   > ignored, but obviously at very large distances the linear term will   
   > dominate, and at sufficiently large distances the inverse square term   
   > can be ignored.   
   >   
   > At large distance from the galactic center (R) we may therefore write:   
   >   
   >         Centripetal Force = m * v^2 / R = K * M * m / R   
   >   
   > Which gives:                   v^2     = K * M   
   >   
   > Note v is independent of R, so this would nicely explain the   
   > flat orbital velocity curves of spiral galaxies.   
      
   The empirical relationship, though, is v^4 = K * M, where K=GMa_0 and   
   a_0 is the empircally determined MOND acceleration.  It is approximately   
   equal to the speed of light times the Hubble constant. No-one knows what   
   this means.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)