Chaotic diffusion and effective stability of Jupiter Trojans

DOI10.1007/S10569-004-3975-7zbMath1083.70515OpenAlexW4238915699WikidataQ56067292 ScholiaQ56067292MaRDI QIDQ815684

Kleomenis Tsiganis, Harry Varvoglis, Rudolf Dvorak

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/s10569-004-3975-7

zbMATH Keywords

1:1 resonanceescape time,Lyapunov timenumerical integrations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Celestial mechanics (70F15)

Related Items (10)

Secondary resonances and the boundary of effective stability of Trojan motions ⋮ High-order normal form stability estimates for co-orbital motion ⋮ On the chaotic diffusion in multidimensional Hamiltonian systems ⋮ Shannon entropy applied to the planar restricted three-body problem ⋮ Where are the Uranus Trojans? ⋮ The Shannon entropy as a measure of diffusion in multidimensional dynamical systems ⋮ Chaotic Di?usion of Asteroids ⋮ Revisiting the relation between the Lyapunov time and the instability time ⋮ Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems ⋮ The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system

Uses Software

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Cites Work

• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system
• The Trojan problem
• The effect of eccentricity and inclination on the motion near the Lagrangian points \(L_4\) and \(L_5\)
• A perturbative treatment of the co-orbital motion
• Hamiltonian formulation of the secular theory for Trojan-type motion
• Why do Trojan ASCS (not) escape?

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