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The 2-body problem under Fock's potential

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  • We study the two-body problem moving under the Fock's potential, where the global flow is fully described. The analysis is separately performed for negative, zero, and positive energy levels. Many kinds of orbits are found, some of them being of positive Lebesgue measure. We also show some unusual features as the coexistence of fundamentally different orbits for the same energy level and for the same angular momentum.
    Mathematics Subject Classification: Primary: 70F05, 70F16; Secondary: 34C05.

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