Computer Science – Numerical Analysis
Scientific paper
Aug 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....77...75p&link_type=abstract
Astronomy and Astrophysics, vol. 77, no. 1-2, Aug. 1979, p. 75-85.
Computer Science
Numerical Analysis
3
Astronomical Models, Computerized Simulation, Galactic Rotation, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Resonance, Curves (Geometry), Graphs (Charts), Numerical Analysis, Numerical Integration, Orbital Elements, Runge-Kutta Method, Spiral Galaxies, Trapped Particles
Scientific paper
The properties of galactic orbits and their invariant curves in the neighborhood of the particle resonance of a galaxy are studied in detail numerically. A large number of orbits has been calculated for different values of the tightness of the spiral and of the Jacobi constant H. In particular the study considers in detail, for various values of the tightness parameter B: (1) the variation of trapped and untrapped orbits when the initial position x0 varies; (2) the regions in the (H, x0) plane inside which there are trapped orbits; and (3) the variation of the invariant curves of trapped and untrapped orbits.
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