Monte Carlo simulation of the distribution of orbital parameters of the globular clusters of the galaxy

Abstract

Three of the 29 globular clusters with integrated spectral type F listed in our former paper are taken as sample, and we used Monte Carlo method to generate a large number of simulated clusters. We have studied in detail the effects of the uncertainties of the initial observational data and the effects of the difference in the Galactic gravitational potential model on the orbital parameters of the synthetic clusters. The orbital calculations were made under three different Galactic gravitational potential models. The calculated distributions of the orbital parameters are of three types: Gaussian, quasi-Gaussian, and non-Gaussian, and they are affected by both the uncertainties of the initial observational data and the gravitational model used. The effects on different parameters of the clusters simulating the three sample clusters are also different.