2018/12/19 by Sergey Efimov, Efimov, Sergey, В. В. Сидоренко +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astro and Planetary Science #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Nuclear physics research studies #Quantum chaos and dynamical systems #Space Physics (physics.space-ph) #Stellar, planetary, and galactic studies
paper · pdf · doi:10.48550/arxiv.1812.07773
openalex publication_date 2018/12/19 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
We examine a 2DOF Hamiltonian system, which arises in study of first-order\nmean motion resonance in spatial circular restricted three-body problem\n"star-planet-asteroid", and point out some mechanisms of chaos generation.\nPhase variables of the considered system are subdivided into fast and slow\nones: one of the fast variables can be interpreted as resonant angle, while the\nslow variables are parameters characterizing the shape and orientation of the\nasteroid's orbit. Averaging over the fast motion is applied to obtain evolution\nequations which describe the long-term behavior of the slow variables. These\nequations allowed us to provide a comprehensive classification of the slow\nvariables' evolution paths. The bifurcation diagram showing changes in the\ntopological structure of the phase portraits is constructed and bifurcation\nvalues of Hamiltonian are calculated. Finally, we study properties of the chaos\nemerging in the system.\n