A semi-analytical framework classifies symmetric four-body Dziobek central configurations from mass ratios and locates equilibria in the Earth-Moon system with an arbitrary-mass fourth body.
However, the number of concave deltoid configurations is between 0 and 4
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Classification of Symmetric Four-Body Dziobek Central Configurations and Application to the Earth--Moon System
A semi-analytical framework classifies symmetric four-body Dziobek central configurations from mass ratios and locates equilibria in the Earth-Moon system with an arbitrary-mass fourth body.