Tidal interactions of disc galaxies

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Disk Galaxies, Energy Transfer, Gravitational Effects, Interacting Galaxies, Momentum Transfer, Angular Momentum, Integral Equations, Mass Ratios, Perturbation Theory, Tides

Scientific paper

The energy and angular momentum transfer resulting from a tidal encounter between two galaxies which move relative to each other on a parabolic orbit is analytically investigated. The entire motion takes place in a plane, with the perturber treated as a point mass and so having no internal degrees of freedom. It is shown that the inner Lindblad resonance contribution transfers energy and angular momentum from the disk to the perturber, while the outer Lindblad resonance contribution acts in the opposite sense. Calculations are presented of the transfer for a cold constant rotational velocity disk as a function of the ratio of the pericenter distance of the orbit to the radius of the disk, for both retrograde and direct encounters.

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