Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mnras.195.1037w&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 195, June 1981, p. 1037-1056.
Astronomy and Astrophysics
Astronomy
40
Astronomical Models, Dynamic Models, Galactic Clusters, Data Sampling, Error Correcting Devices, Luminosity, Mass Distribution, Mass Ratios, Monte Carlo Method
Scientific paper
A general analysis is presented of dynamic models for scale-free ensembles of binary galaxies. The analysis complements White and Valdes' (1980) modelling of the luminosity-separation-distance distribution in the data sample provided by Turner (1976), since for scale-free models the dynamical information is contained in the velocity difference distribution and its scaling with separation and luminosity, and is independent of the actual sample distribution of these latter quantities. The general properties of single mass scale-free ensembles of pairs are treated, and the velocity difference distributions needed to analyze observational data are derived. The influence of observational error and of a dispersion in intrinsic pair properties on the mass-determination problem is examined. A brief discussion indicates how the parameters of the appropriate scale-free distribution can, in principle, be determined from an observed data set.
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