When may an unstable gravitating disk be considered infinitely thin

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Astrophysics, Gravitational Effects, Motion Stability, Rotating Disks, Density Wave Model, Halos, Planetary Evolution, Protoplanets, Slender Bodies, Spiral Galaxies, Stellar Mass Accretion, Turbulent Flow

Scientific paper

An infinitely thin gravitating disk model is investigated to determine the necessary conditions such that the model may be used to test stability and investigate the fundamental problems of nonlinear density wave and weak turbulence evolution. The use of the model is found to be admissable only when a massive halo is present. Constraints are imposed on the basic disk and halo parameters, which allow the most highly unstable perturbation wavelength to remain much greater than the disk thickness, and allow the contribution of the halo to the perturbed gravitational potential to be negelected.

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