57 citations · 203 across the 13 of their papers we have counts for
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physics.hist-ph2014
A Kepler's note on secular inequalities
Antonio Giorgilli
I discuss the problem of secular inequalities in Kepler by giving account of a manuscript note that has not been published until 1860. In his note Kepler points out the need for a…
math.DS2014
Normal Form and Energy Conservation of High Frequency Subsystems Without Nonresonance Conditions
Dario Bambusi, Antonio Giorgilli, Simone Paleari +1
We consider a system in which some high frequency harmonic oscillators are coupled with a slow system. We prove that up to very long times the energy of the high frequency system c…
math-ph2014★ 5 cited
On the convergence of an algorithm constructing the normal form for lower dimensional elliptic tori in planetary systems
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We give a constructive proof of the existence of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. In particular we adapt the classical Kolmogorov's normali…