The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system

DOI10.1007/s10569-004-5976-yzbMath1083.70019OpenAlexW4255576611WikidataQ56067291 ScholiaQ56067291MaRDI QIDQ815686

Philippe Robutel, Frederic Gabern, Àngel Jorba

Publication date: 20 February 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-004-5976-y

zbMATH Keywords

resonancesArnold webfrequency map analysis

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items

Stability of Trojan planets in multi-planetary systems, High-order normal form stability estimates for co-orbital motion, Hill's approximation in a restricted four-body problem, Where are the Uranus Trojans?, Chaotic Di?usion of Asteroids, The dynamics of inclined Neptune Trojans, Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems, Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods, Special issue: A comparison of the dynamical evolution of planetary systems. Selected papers from the 6th Alexander von Humboldt colloquium on celestial mechanics, Bad Hofgastein, Austria, March 21--27, 2004., Chaotic diffusion and effective stability of Jupiter Trojans, Formal integrals and Nekhoroshev stability in a mapping model for the Trojan asteroids, On the stability regions of the Trojan asteroids

Cites Work

• Unnamed Item
• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• Chaotic diffusion and effective stability of Jupiter Trojans
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• A symplectic mapping approach to the study of the stochasticity in asteroidal resonances
• On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
• A perturbative treatment of the co-orbital motion
• On the accuracy of restricted three-body models for the Trojan motion
• Generalizing the restricted three-body problem. The Bianular and Tricircular coherent problems
• A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system
• Why do Trojan ASCS (not) escape?
• High-order symplectic integrators for perturbed Hamiltonian systems