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- W840130729 abstract "The sufficient and necessary conditions, the existence and uniqueness of a new class of central configuration in R3, for the conjugate-nest consisting of two regular tetrahedrons, are proved. If the configuration is a central configuration, then all masses of outside layer are equivalent, and the masses of inside layer are also equivalent. At the same time ρ (the ratio of the sizes) and mass ratio τ=m/?m must be satisfied by some formulas. For any radius ratios ρ∈(0, 0.152 996 918 2) or (0.715 223 148 7, 1.398 165 037), there is only one central configuration. Otherwise, for any given mass ratio τ , there may exist more than one central configuration." @default.
- W840130729 created "2016-06-24" @default.
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- W840130729 date "2007-01-01" @default.
- W840130729 modified "2023-09-26" @default.
- W840130729 title "Eight-body central configuration for conjugate-nested regular tetrahedrons" @default.
- W840130729 hasPublicationYear "2007" @default.
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