| Abstract: |
| Let the configuration $q=(q_1, q_2, \cdots, q_n)$ be a central configuration
of $n$-body for masses $m=(m_1, m_2, \cdots, m_n)$. The central configuration $q$ for $m$ is called a super central configuration if $q$ is also a central configuration for a permutation of the same mass vector. There are different ways to count the number of central configurations due to the different definitions of equivalence classes. In this talk, we discuss how the existence of super central configurations affects the number of central configurations under different equivalence classes. |
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