Celestial mechanics; Orbital mechanics; Hamiltonian and Lagrangian mechanics; Nonlinear dynamics in mechanics; Perturbation theories; Dynamics of space debris; Asteroids;

Foundations of continuum mechanics of solids (micromechanical theories); Elastic and viscoelastic materials; Coupling of solid mechanics with other effects (thermal, mixture, electromagnetic); Equilibrium and dynamical problems in solid mechanics (Saint-Venant's principle; Existence of solutions; Stability; Vibrations); Waves in solid mechanics (linear waves).