Titlebook: Galactic Dynamics and N-Body Simulations; Lectures Held at the G. Contopoulos,N. K. Spyrou,L. Vlahos Conference proceedings 1994 Springer-V

Fsh238

Wladislaw Rivkin,Klaus-Helmut Schmidtr spiral perturbations in stellar disks are described. The method is based on the analysis of periodic orbits and compares the response surface density with the imposed to estimate the degree of self-consistency. A model of the spiral NGC 5247 is used to illustrate the technique. Different examples

Polydipsia

Qingxu Jin,Christopher K. Y. Leung consistent with a given power spectrum, that is discussed. In section 3 the problem of angular momentum transfer to protogalaxies is discussed in connection with the behavior of the cosmological tidal torques. The difficulties of simulating this behavior are explained. Counterrotating objects may r

arterioles

Self-consistent models of spiral galaxies,r spiral perturbations in stellar disks are described. The method is based on the analysis of periodic orbits and compares the response surface density with the imposed to estimate the degree of self-consistency. A model of the spiral NGC 5247 is used to illustrate the technique. Different examples

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Lectures on stellar dynamics,tive instabilities. We show that Angle-Action variables are peculiarly well adapted to this problem. Although these variables may at first seem unfamiliar or even esoteric, I and many others have come to appreciate them as a vital tool in galactic dynamics - so much so that those who do .not use the

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Order and chaos, degrees of freedom. Then we discuss integrable systems in general. In particular we consider Li ouville systems and the Painlevé test of integrability. Formal integrals (like the “third” integral) are an important tool in galactic dynamics. We discuss their construction, and the limits of their app

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繁忙

The study of instability in stellar dynamics,ons feasible. We demonstrate this using the study of linear normal modes of spherical stellar systems as a paradigm. We explore the limitations of numerical simulations using various techniques and advocate the use of smooth potential codes as ideally suited to this problem. We discuss three instabi

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Direct methods for N-Body simulations,ndividual time-steps. The new Hermite integration scheme is described; it is based on explicit evaluation of the force and its first derivative. We show that this scheme is particularly efficient when combined with hierarchical time-steps which reduce the amount of prediction. Some examples of time

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