Mapping the stability field of Jupiter Trojans

Physics – Geophysics

Scientific paper

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Asteroids, Gas Giant Planets, Jupiter (Planet), Protoplanets, Solar System, Stability, Trojan Orbits, Eccentricity, Libration, Many Body Problem, Numerical Integration, Orbital Elements, Orbital Resonances (Celestial Mechanics), Planetary Orbits

Scientific paper

Jupiter Trojans are a remnant of outer solar system planetesimals captured into stable or quasistable libration about the 1:1 resonance with the mean motion of Jupiter. The observed swarms of Trojans may provide insight into the original mass of condensed solids in the zone from which the Jovian planets accumulated, provided that the mechanisms of capture can be understood. As the first step toward this understanding, the stability field of Trojans were mapped in the coordinate proper eccentricity, ep, and libration amplitude, D. To accomplish this mapping, the orbits of 100 particles with ep in the range of 0 to 0.8 and D in the range 0 to 140 deg were numerically integrated. Orbits of the Sun, the four Jovian planets, and the massless particles were integrated as a full N-body system, in a barycentric frame using fourth order symplectic scheme.

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