Changes between Version 3 and Version 4 of u/GasPhiBE

Timestamp:

10/04/12 12:49:20 (12 years ago)

Author:

Erica Kaminski

Comment:

—

u/GasPhiBE

@@ -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!
 
+2. What is the theoretical potential of the sphere outside of the Rbe? 
+
+* 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:
+
+{{{#!latex
+\phi = {-G*Mbe \over r } - {G*Mr \over r} \space (for \space r > Rbe)
+
+}}}
+
+Here we say 
+
+{{{#!latex
+Mr = Mass \space enclosed = {4 \over 3} * \pi * {(r^3 - Rbe^3)}
+
+}}}