Calculus of Variations and Geometric Measure Theory
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A first integral to the partially averaged Newtonian potential in the three-body problem

Gabriella Pinzari (Università di Napoli "Federico II")

created by paolini on 19 Oct 2016

25 oct 2016 -- 16:00   [open in google calendar]

Aula dal Passo - Universita' degli Studi di Roma "Tor Vergata"

SEMINARIO DI EQUAZIONI DIFFERENZIALI Dipartimento di Matematica Universita' degli Studi di Roma "Tor Vergata"

Abstract.

We consider the partial average, i.e., the Lagrange average with respect to just one of the two mean anomalies, of the Newtonian part of the perturbing function in the three--body problem Hamiltonian. We prove that such a partial average exhibits a non--trivial first integral. We next show how this integral is responsible of three known occurrences in the averaged Newtonian potential: Harrington property, Herman resonance and certain strange symmetries in the planetary torsion.

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