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math-ph2020
Lonely planets and light belts: the Statistical Mechanics of Gravitational Systems
Gabriella Pinzari, Benedetto Scoppola, Alessio Troiani
In this paper we propose a notion of stability, that we call -stability, for systems of particles interacting via Newton's gravitational potential, and orbiting a much bigger…
math-ph2018
Exponential stability of Euler integral in the three--body problem
Gabriella Pinzari
The first integral characteristic of the two--centres problem is proven to be an approximate integral (in the sense of N.N.Nekhorossev) to the three--body problem, at least if the…