10 citations · 14 across the 4 of their papers we have counts for
7 papers
A new analysis of the three--body problem
Jerome Daquin, Sara Di Ruzza, Gabriella Pinzari
In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological ho…
Euler integral as a source of chaos in the three-body problem
Sara Di Ruzza, Gabriella Pinzari
In this paper we address, from a purely numerical point of view, the question, raised in [20, 21], and partly considered in [22, 9, 3], whether a certain function, referred to as "…
Symbolic dynamics in a binary asteroid system
Sara Di Ruzza, Jérôme Daquin, Gabriella Pinzari
We highlight the existence of a topological horseshoe arising from a a--priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned…
Euler integral and perihelion librations
Gabriella Pinzari
We discuss dynamical aspects of an analysis of the two--centre problem started in [15]. The perturbative nature of our approach allows us to foresee applications to the three--body…
Perihelion librations in the secular three--body problem
Gabriella Pinzari
A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the ave…
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…