| Abstract: |
| In this talk, we discuss how a Schubart orbit and a Broucke-Henon orbit are connected via the variational method with Structural Prescribed Boundary Conditions (SPBC). We show that under an appropriate topological constraint, a minimizer must be either a Schubart orbit or a Broucke-Henon orbit. One of the main challenges is to prove that a Schubart orbit coincides with a minimizer connecting a collinear configuration with a binary collision and an isosceles configuration. A new geometric argument is introduced to overcome this challenge. |
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