| Abstract: |
| In his classical 1900 paper Dziobek introduced a set of equations for the central configurations (c.c`s) of four bodies in terms of mutual distances.
There are six mutual distances between four bodies. Since these distances are not independent, Dziobek used a planarity condition to obtain the c.c. equations of four bodies. It is possible, however, to use other planarity conditions. Following this approach to central configurations leads to several curious connections between Euclidean Geometry, Distance Geometry and the four body problem, some of which will be discussed in this talk. |
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