Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....65..409m&link_type=abstract
Astronomy and Astrophysics, vol. 65, no. 3, May 1978, p. 409-414.
Astronomy and Astrophysics
Astrophysics
4
Galactic Rotation, Orbital Mechanics, Spiral Galaxies, Stellar Motions, Density Distribution, Hill Method, Librational Motion, Numerical Integration, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Star Distribution
Scientific paper
We discuss the conditions for the trapping of orbits at the corotation resonance in a spiral galaxy in the case of a slow introduction of the spiral perturbation. The set of initial conditions for phase coordinates leading to trapped orbits does not qualitatively differ very much from those obtained when the perturbation is abruptly imposed. In both cases some limiting conditions of trapping may correspond either to initial distances rather far from the corotation radius (up to 4 kpc) or to rather high initial velocities (up to 100 km/s). The present considerations are useful for the study of the stellar density distribution near the corotation circle in both slow and abrupt cases, undertaken in a subsequent paper.
Martinet Louis
Mennessier Marie-Odile
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