10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.DS2026
Families of relative periodic orbits in the planar three-body problem via consecutive alignments
Joan Gimeno, Marc Jorba-Cuscó, Begoña Nicolás
Relative periodic orbits (RPOs) are solutions of the three-body problem that are periodic in a uniformly rotating reference frame and, in general, quasi-periodic in inertial coordi…
math.DS2024★ 1 cited
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
Àngel Jorba, Begoña Nicolás, Óscar Rodríguez
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) a…
math.DS2024★ 10 cited
Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori
Joan Gimeno, Àngel Jorba, Begoña Nicolás +1
In this paper we present a procedure to compute reducible invariant tori and their stable and unstable manifolds in stroboscopic Poincaré maps. The method has two steps. In the fir…