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math.DS2014
Canonical coordinates for the planetary problem
Gabriella Pinzari
In 1963, V. I. Arnold stated his celebrated Thorem on the Stability of Planetary Motions. The general proof of his wonderful statement (that he provided completely only for the par…
math.DS2014
Global Kolmogorov tori in the planetary N-body problem. Announcement of result
Gabriella Pinzari
We improve a result in [L. Chierchia and G. Pinzari, Invent. Math. 2011] by proving the existence of a positive measure set of --dimensional quasi--periodic motions in the…