Large degree stochasticity in a galactic model

Details Large degree stochasticity in a galactic model Large degree stochasticity in a galactic model

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...172...55c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 172, no. 1-2, Jan. 1987, p. 55-66.

Astronomy and Astrophysics

Astrophysics

17

Astronomical Models, Galactic Rotation, Orbit Calculation, Stochastic Processes, Degrees Of Freedom, Hamiltonian Functions, Orbital Elements

Scientific paper

The diffusion due to stochasticity is explored numerically in a simple model that represents the plane of symmetry of a nonrotating distorted galaxy. The onset of large scale stochasticity is studied in a Hamiltonian system of two degrees of freedom that may represent the inner parts of a deformed galactic model. When the energy is small, the stochastic regions around unstable periodic orbits do not communicate, but if the energy exceeds a critical value the last boundary between two stochastic regions is destroyed, and is then called a 'cantorus'. Critical energies are calculated for the destruction of specific 'last KAM tori'.

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