2 papers
math.DS2025
On the analytic properties of the perturbing function in the PCR3Body Problem
Corrado Falcolini, Davide Zaccaria
We provide a new expansion of the Fourier coefficient of the Perturbing function of the PCR3Body problem in terms of Hansen Coefficients. This gives us a precise asymptotic formula…
math.DS2025
Singular KAM theory for convex Hamiltonian systems
Santiago Barbieri, Luca Biasco, Luigi Chierchia +1
In this note, we briefly discuss how singular KAM Theory - which was worked out in a previous work by L.B. and L.C. for the mechanical case - can b…