By Raynor L. Duncombe (auth.), P. Kenneth Seidelmann, Jean Kovalevsky (eds.)
Read 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 resources 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
Fourier transform methods provide the most efficient way to solve the Poisson equation in cartesian coordinates. with chaos first motivated this kind of program. The simple time-centered leapfrog integrator, coupled with forces derived from a potential, gives an area-preserving computation that has an exact Liouville theorem. The physics is mapped directly to the computer, rather than first being approximated by a set of differential equations which are then further approximated to solve them on a digital computer.
V(m+l)/2 ' (in which n~ , with u s,n,O 1) , Vo = 1, d is 1 if m is odd, and zero if m is even. m An Algol programme has been set up to carry out these successive developments on being supplied with a set of values for the largest co-efficients in the expressions (8). This was run using values obtained from a new analysis of the opposition mean elements obtained by Woltjer in his reduction of the observations of Hyperion from 1875 to 1922. At this stage the Taylor series in powers of e - eO and a - a O were summed.
Examining Pasha's list again for galaxies which are clearly interacting or have a substantial companion (Arp 1966, Arp and Madore 1987, de Vaucou1eurs, de Vaucou1eurs and Corwin 1976, Nilson 1973, Vorontsov-Ve1yaminov 1959), we find 28 which conform to these criteria. An additional 53 galaxies from Pasha's list belong to pairs that might be physical or interacting. Therefore, even being generous and taking 2 galaxies in Pasha's sample to have leading arms, we estimate that at most only a few percent of the strongly perturbed galaxies in Pasha's sample have leading arms.
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 by Raynor L. Duncombe (auth.), P. Kenneth Seidelmann, Jean Kovalevsky (eds.)