Abstract
Consider a generalized 3-body problem. The attraction force between any two bodies is proportional to the two “masses” and the b-th power of the mutual distance. Albouy and Fu have obtained the optimal upper bound of the number of generalized Euler configurations for the cases b ⩽ 1 and b = 2, 3. This paper obtains the optimal upper bound for the remaining real values of b in a systematic way.
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Li, Z., Fu, Y. The optimal upper bound of the number of generalized Euler configurations. Sci. China Math. 53, 401–412 (2010). https://doi.org/10.1007/s11425-009-0196-2
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DOI: https://doi.org/10.1007/s11425-009-0196-2