From heggie@castle.ed.ac.uk Fri Jun 30 18:13:48 1995 Received: from kyohou.c.u-tokyo.ac.jp by chianti.c.u-tokyo.ac.jp (4.1/2.7W-utc1.9) id AA02553; Fri, 30 Jun 95 18:13:48 JST Received: from haymarket.ed.ac.uk by kyohou.c.u-tokyo.ac.jp (5.64/2.7W-utc1.9) id AA00150; Fri, 30 Jun 95 18:06:46 +0900 Return-Path: Received: from castle.ed.ac.uk (castle.ed.ac.uk [129.215.128.23]) by haymarket (8.6.10/8.6.10) with SMTP id KAA09042; Fri, 30 Jun 1995 10:08:37 +0100 From: "D.C. Heggie" Subject: Abstracts from D.C. Heggie To: iau174_abstract@chianti.c.u-tokyo.ac.jp Cc: piet@sns.ias.edu Date: Fri, 30 Jun 95 10:06:27 BST Message-Id: <9506301006.aa26392@uk.ac.ed.castle> 1. Statistics of Small-N Simulations We first review the reasons for carrying out statistical analysis of results from large numbers of N-body simulations, including a summary of previous work. Then we describe some results about the behaviour of N-body systems which have been acquired by this technique, including a selection from: (i) the N-dependence of relaxation; (ii) the effect of anisotropy and core collapse on the escape rate; (iii) the behaviour of binaries at core bounce and in post-collapse expansion; (iv) the behaviour of anisotropy and mass segregation throughout pre- and post-collapse regimes; (v) the effect on the escape rate of different treatments of a tidal boundary; (vi) the effect of mass loss through stellar evolution; and (vii) problems associated with the scaling of N-body data with N. 2. Effects of Dark Matter [with P.Hut] We first review reasons why dark matter is an interesting issue in connection with star clusters. Next we consider to what extent the presence of dark matter is either permitted or required by observations of globular clusters. Model-dependent and model-independent ways of tackling this issue are compared. Finally, the link with the determination of the stellar mass function is emphasised.