4 papers
No infinite spin for total collisions in the spatial N-body problem
Gabriella Pinzari, Piotr Zgliczynski
In the -body problem, when bodies tend to a total collision, then its normalized shape curve converges to the set of normalized central configurations, which has symmetr…
Improved stability estimates at elliptic equilibria of Hamiltonian systems
Massimiliano Guzzo, Chiara Caracciolo, Gabriella Pinzari
This paper deals with an improvement of the "a-priori stability bounds" on the variation of the action variables and on the stability time obtained from a given Birkhoff normal for…
A common first integral from three-body secular theory and Kepler billiards
Gabriella Pinzari, Lei Zhao
We observe that a particular first integral of the partially-averaged system in the secular theory of the three-body problem appears also as an important conserved quantity of inte…
Projective deduction of the non-trivial first integral to the Euler problem: an explicit computation
Gabriella Pinzari, Lei Zhao
The validity of Kepler Laws for the {\it spherical Kepler problem} -- namely, the problem of the motion of a particle on the unit sphere {in } undergoing an attraction…