Nonlinear effects near the particle resonance

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Orbit Calculation, Spiral Galaxies, Stellar Motions, Stellar Systems, Density Wave Model, Galactic Rotation, Nonlinear Systems, Perturbation Theory, Resonance, Stellar Orbits

Scientific paper

The nonlinear behavior of stellar orbits near the particle resonance is described. For the rotation speed of the spiral structure the value of 20 km/s per kpc is used which was derived elsewhere (Palous et al., 1977). This new value draws attention to the orbits approaching the corotation from the distant peripheries of the stellar system. These orbits exhibit near the damped particle resonance a leap-frogging motion. The maximum of the response density is near the points L1 and L2 and it is slightly shifted in the direction opposite to that of galactic rotation.

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