2 papers
math.DS2024
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
Chiara Caracciolo, Jordi-Lluís Figueras, Alex Haro
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal…
math.DS2024
Sun-Jupiter-Saturn System may exist: A verified computation of quasiperiodic solutions for the planar three body problem
Jordi-Lluís Figueras, Alex Haro
In this paper, we present evidence of the stability of a simplified model of the Solar System, a flat (Newtonian) Sun-Jupiter-Saturn system with realistic data: masses of the Sun a…