Existence and uniqueness of a class of double pyramidal central configurations in six-body problems
摘要
Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combinedly the algebraic method and numerical calculation. It is found that there exists a planar curl triangle region G in a square Q such that any point in G and given by the ratio of the two diagonal lengths of the diamond base and the ratio of one diagonal length of the base to the height of the double pyramid configuration determines a unique double pyramid central configuration, while all points in Q-G have no referance to any central configuration.
引用本文（GB/T 7714）
LIUXuefei. Existence and uniqueness of a class of double pyramidal central configurations in six-body problems[J]. 重庆大学学报：英文版, 2004.
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