Asteroid motion near the 3:1 resonance

DOI10.1007/BF00696186zbMath0780.70008OpenAlexW2060131132MaRDI QIDQ1308751

John D. Hadjidemetriou

Publication date: 6 February 1994

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

Full work available at URL: https://doi.org/10.1007/bf00696186

zbMATH Keywords

chaotic motionphase spaceJupiterelliptic restricted three-body problemaveraged HamiltonianKirkwood gapsSunmapping modelcorrecting term

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

On the measure of the structure around the last KAM torus before and after its break-up ⋮ Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\) ⋮ Formal solution of the asteroid motion near the 2:1 commensurability ⋮ Origin and continuation of \(3/2, 5/2, 3/1, 4/1\) and \(5/1\) resonant periodic orbits in the circular and elliptic restricted three-body problem ⋮ Chaotic Di?usion of Asteroids ⋮ Long-term evolution of asteroids near a resonance

Cites Work

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• On the dynamics in the asteroids belt. I: General theory
• On the dynamics in the asteroids belt. II: Detailed study of the main resonances
• The elliptic restricted problem at the 3:1 resonance
• On symmetrical planetary corotations
• Regular and stochastic motion
• On the relation between resonance and instability in planetary systems
• Formation of the Kirkwood gaps in the asteroid belt
• High-order resonances in the restricted three-body problem
• The stability of periodic orbits in the three-body problem
• A perturbation method for problems with two critical arguments

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