By Raynor L. Duncombe (auth.), P. Kenneth Seidelmann, Jean Kovalevsky (eds.)
Read Online or Download Applications of Computer Technology to Dynamical Astronomy: Proceedings of the 109th Colloquium of the International Astronomical Union, held in Gaithersburg, Maryland, 27–29 July 1988 PDF
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Additional info for Applications of Computer Technology to Dynamical Astronomy: Proceedings of the 109th Colloquium of the International Astronomical Union, held in Gaithersburg, Maryland, 27–29 July 1988
Something was noticed in an experiment that seemed a little odd. It was found to be real under further checking, and it was finally recognized to be a new effect. New tools, such as a computational approach, made the discovery possible. Granted that numerical experiments in galaxy dynamics and in the dynamics of star clusters have been scientifically productive in the past, what are the prospects? I think they are good. MILLER been. We have now explored some of the simple early questions, so we have some confidence to tackle the more complicated realistic problems that characterize astronomy.
J in the form cos (iT+ jr;). LB .. ~J sin( iL+j r;) In the course of these and later developments, it is frequently necessary to form the product of two double Fourier series of either of these two forms, and an Algol procedure has been written to do this, building up each coefficient in the product series in turn. We also need expressions in these two forms for the quantities cos ko and sin ko. To form them, we note that ~01 (=-S, say) is the largest co-efficient numerically in the expression for 0, so we put 0 1 = r; - S sinr; ,which is the dominant part of 0, and then cos k0 1 and Jk(kS) + sin k0 1 = L m=l We then use the Taylor series cos ko cos k0 1 k(o " l.
Aside from these, they represent a misguided effort from a physical point of view because they do not face the principal physical problem of dealing with chaos. Developments in integration methods are likely to prove more fruitful in addressing chaos. Symplectic (Deprit 1969) or energy conserving (Marciniak 1985) methods deserve attention. 2 POISSON METHODS Relaxation times are very long in galaxies, and the most straightfor¥Tard way to build that into a program is to use many particles. Binary formation is thought not to be important as well.