Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\)
From MaRDI portal
Publication:642371
DOI10.1007/s10569-010-9290-6zbMath1223.70020arXiv1009.3558OpenAlexW2054736410MaRDI QIDQ642371
Publication date: 26 October 2011
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.3558
chaotic motionasteroidal beltchaotic diffusion rateChirikov theoryHadjidemetriou's symplectic mappingNesvorný-Morbidelli modelthree-body resonances
Three-body problems (70F07) Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30)
Related Items
The speed of Arnold diffusion ⋮ First-order resonant in periodic orbits ⋮ On the chaotic diffusion in multidimensional Hamiltonian systems ⋮ A symplectic mapping for the synchronous spin-orbit problem ⋮ Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river ⋮ CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS ⋮ An integrable model for first-order three-planet mean motion resonances ⋮ Shannon entropy applied to the planar restricted three-body problem ⋮ The Shannon entropy as a measure of diffusion in multidimensional dynamical systems ⋮ The perturbed photogravitational restricted three-body problem: analysis of resonant periodic orbits
Cites Work
- Unnamed Item
- Stickiness in three-dimensional volume preserving mappings
- A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems
- Analysis of the chaotic behaviour of orbits diffusing along the Arnold web
- Canonical perturbation theories. Degenerate systems and resonance
- Dynamical portrait of the Lixiaohua asteroid family
- A numerical study of Arnold diffusion in a priori unstable systems
- A theory of modulational diffusion
- A hyperbolic twist mapping model for the study of asteroid orbits near the 3:1 resonance
- Theory of fast Arnold diffusion in many-frequency systems
- Asteroid motion near the 3:1 resonance
- On the relationship between Lyapunov times and macroscopic instability times
- A symplectic mapping approach to the study of the stochasticity in asteroidal resonances
- Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings
- Dynamic expansion points: an extension to Hadjidemetriou's mapping method
This page was built for publication: Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\)
