Changes between Version 3 and Version 4 of u/GasPhiBE
 Timestamp:
 10/04/12 12:49:20 (12 years ago)
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u/GasPhiBE
v3 v4 26 26 Since in the matched case, the density becomes 0.07, Mamb=100*Mamb_light~1,400 Mbe. Or, in astronomical units, Mamb_matched=224,800 Solar Mass! 27 27 28 2. What is the theoretical potential of the sphere outside of the Rbe? 29 30 * A) We can look at this problem in 2 ways that give the same answer. First we can add the potential of the BE sphere as though it were a point charge with M=Mbe to the potential of the ambient, approximated as a uniform sphere of r=l/2, where l is box length: 31 32 {{{#!latex 33 \phi = {G*Mbe \over r }  {G*Mr \over r} \space (for \space r > Rbe) 34 35 }}} 36 37 Here we say 38 39 {{{#!latex 40 Mr = Mass \space enclosed = {4 \over 3} * \pi * {(r^3  Rbe^3)} 41 42 }}}