Computer Science – Numerical Analysis
Scientific paper
Aug 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....50..395m&link_type=abstract
Astronomy and Astrophysics, vol. 50, no. 3, Aug. 1976, p. 395-404.
Computer Science
Numerical Analysis
11
Astrodynamics, Celestial Mechanics, Galactic Rotation, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Spiral Galaxies, Angular Momentum, Bessel Functions, Hamiltonian Functions, Jacobi Integral, Numerical Analysis, Orbital Mechanics
Scientific paper
The galactic orbits and the corresponding invariant curves are studied near the Inner Lindblad Resonance of spiral galaxies. A comparison is made of the orbits calculated numerically with the orbits derived by means of a 'resonant' integral of motion found by Contopoulos. In cases of very tight spirals an extension of the Contopoulos theory is made. A special case of the above mentioned 'resonant' integral of motion shows the similarities of the Inner Lindblad Resonance with other cases of resonance.
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