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.
When | Tue Oct 25, 2016 2pm – 3pm Coordinated Universal Time |
Where | Aula dal Passo - Universita' degli Studi di Roma "Tor Vergata" (map) |