We study the charged 3-body problem with the potential function being （-a）-homogeneous on the mutual distances of any two particles via the variational method and try to find the geometric characterizations of the m...We study the charged 3-body problem with the potential function being （-a）-homogeneous on the mutual distances of any two particles via the variational method and try to find the geometric characterizations of the minimizers. We prove that if the charged 3-body problem admits a triangular central configuration, then the variational minimizing solutions of the problem in the τ/2-antiperiodic function space are exactly defined by the circular motions of this triangular central configuration.展开更多
基金The authors thank sincerely Professor Shanzhong Sun for his careful reading and helpful comments on the manuscript of this paper. The first author was partially supported by the Doctoral Innovation Project of Nankai University. The second author was partially supported by the National Natural Science Foundation of China （Grant No. 11131004）, MCME, LPMC of Ministry of Education of China, Nankai University, and the BCMIIS at Capital Normal University.
文摘We study the charged 3-body problem with the potential function being （-a）-homogeneous on the mutual distances of any two particles via the variational method and try to find the geometric characterizations of the minimizers. We prove that if the charged 3-body problem admits a triangular central configuration, then the variational minimizing solutions of the problem in the τ/2-antiperiodic function space are exactly defined by the circular motions of this triangular central configuration.
