The Observed Trojans and the Global Dynamics Around The Lagrangian Points of the Sun–Jupiter System

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Abstract

In this paper, we make a systematic study of the global dynamical structure of the Sun–Jupiter L 4 tadpole region. The results are based on long-time simulations of the Trojans in the Sun, Jupiter, Saturn system and on the frequency analysis of these orbits. We give some initial results in the description of the resonant structure that guides the long-term dynamics of this region. Moreover, we are able to connect this global view of the phase space with the observed Trojans and identify resonances in which some of the real bodies are located.