Contact geometry of the restricted three-body problem. (English) Zbl 1300.70006
Summary: We show that the planar circular restricted three-body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology to understand this particular dynamical system.
MSC:
| 70F07 | Three-body problems |
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