From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs -- On the stability regions of the Trojan asteroids -- Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids -- The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun-Jupiter System -- Chaotic Diffusion and Effective Stability of Jupiter Trojans -- Anal…