An Exact Algebraic Bifurcation in the Triangle-Plus-Center Central Configuration
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Summary
We prove that the triangle-plus-center central configuration of the planar four-body problem with masses $(1, 1, 1, \mu)$ undergoes an exact stability transition at the critical mass ratio
$$\mu^* = \frac{81 + 64\sqrt{3}}{249},$$
the unique positiv
Length
3,083 words
Claims
7 theorems
Status
Final
Target
Celestial Mechanics and Dynamical Astronomy