2 papers
astro-ph.EP2023
4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
The overlapping of mean-motion resonances is useful for low or zero-propellant space mission design, but while most related prior work uses a planar CRTBP model, tours of multi-moo…
math.DS2023
A simple proof of Gevrey estimates for expansions of quasi-periodic orbits: dissipative models and lower dimensional tori
Adrián P. Bustamante, Rafael de la Llave
We consider standard-like/Froeschlé maps with a dissipation and nonlinear perturbation. That is \[ T_\varepsilon(p,q) = \left( (1 - γ\varepsilon^3) p + μ+ \varepsilon V'(q), q + (1…