Changes between Version 18 and Version 19 of u/GasPhiBE
 Timestamp:
 10/04/12 14:11:42 (12 years ago)
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u/GasPhiBE
v18 v19 51 51 }}} 52 52 53 From this we can that when rho is small in ambient, phi is dominated by the first term. That is phi can be approximated as due to the BE sphere as a point gravity source. For nonnegligible rho, however, we can expect the r^2^ term to dominate at large r. This would make phi more and more negative.53 From this we can see that when the ambient rho is SMALL, phi is dominated by the first term. That is, phi can be approximated by a point source of mass=Mbe for small r. However, there appears to be a turning point in phi. We can expect the r^2^ term to dominate at large r for nonnegligible rho. This would make phi more and more negative. 54 54 55 55 We can arrive at this same equation by taking a slightly different conceptual route. We can consider phi in ambient medium to be due to the superposition of a uniform sphere on top of a point mass object. In pictures, this is like: