| Abstract: |
| In this talk we introduce the concept of central measures which generalizes central configurations to include continuum mass distributions. We show that concentric spherical shells
can be properly arranged so that their mass distributions are central measures. For any pair of adjacent shells, the ratio of outer and inner radii is between cubic root of 2 and infinity, and this bound is sharp. This provides a bound for outer and inner radii of concentric spheres if the system explodes or collapses homothetically. |
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