Computer Science
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..14e..23h&link_type=abstract
Modelling Dense Stellar Systems, 26th meeting of the IAU, Joint Discussion 14, 22-23 August 2006, Prague, Czech Republic, JD14,
Computer Science
Scientific paper
Because of their relative simplicity, the internal dynamics of globular clusters are, in principle, completely knowable from only the observed stellar kinematics, without the need of unverifiable assumptions regarding mass/light ratios, velocity isotropy, etc. But to do so requires adequate statistical models to relate distributions of observed stellar kinematics (positions, velocities) to those of dynamics (orbital energies and angular momenta, and gravitational potential); and adequate data. This paper is a progress report on the derivation of such models to utilize, in addition to projected distances and radial velocities, the high-quality proper motion data being obtained with HST on some globular clusters. The resulting data set dimensionality equals or exceeds that of the dynamical model, so that the latter is inferable from the former in principle, and appears possible in practice. Statistical models in the form of integral equations have been rigorously derived for all observable kinematic quantities (projected central distance and three velocity components), both jointly and individually; these are the full deterministic connections between observable kinematics and internal dynamics, and make no assumptions that the stars observed constitute the source of the gravitational potential. Application of this technique to well-observed globular clusters offers the promise of understanding the role (if any) of dark matter in these objects; the extent of velocity anisotropy and its variation with radial distance; likely evaporation rates; and the form of differential rotation in slowly rotating globular clusters. The viability of this approach will be demonstrated by application to synthetic data; application to existing data for globular clusters presents some practical difficulties that appear to be manageable with further improvements in global inversion algorithms (currently under development).
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