Changes between Version 18 and Version 19 of u/GasPhiBE


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Timestamp:
10/04/12 14:11:42 (12 years ago)
Author:
Erica Kaminski
Comment:

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  • u/GasPhiBE

    v18 v19  
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    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 non-negligible rho, however, we can expect the r^2^ term to dominate at large r. This would make phi more and more negative.
     53From 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 non-negligible rho. This would make phi more and more negative.
    5454
    5555We 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: