Plane galactic orbits near the Inner Lindblad Resonance

Computer Science – Numerical Analysis

Scientific paper

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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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