The spatial structure of the globular cluster M92

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We have studied the spatial structure of the globular cluster M92 as a function of various intervals of stellar magnitude Delta B and limiting magnitudes B used in star counts. We used astrometric and photometric measurements of a photographic plate obtained with the 2-m reflector of the National Astronomical Observatory of Bulgaria. Differential and integrated apparent (Delta F(r) and F(r)) and spatial (Delta f(r) and f(r)) stellar-density functions were considered for the intervals Delta B = (13 -15.1^m), (15.1-16^m), (16 -17^m), (17-18^m), (18 -18.5^m), (18.5 -19^m), (19 -19.5^m), (19.5 - 20^m), (20 - 20.5^m), and (20.5 - 21^m) and for the limiting magnitudes B = 15.1, 16, 17, 18, 18.5, 19, 19.5, 20, 20.5, and 21^m. Analysis of these functions indicates that the structure of the cluster varies systematically as we proceed toward fainter stars, starting from the transition region between the subgiant branch to the turnoff point of the main sequence in the (V, B -V) diagram. This variation is twofold. First, the radii of spatial zones of the cluster and the radius of the cluster as a whole homologously increase according to the same law. Second, in the transition to the outer zones of the cluster, the rate of increase of the number of faint stars increases with B. We derived empirical relationships describing these variations, together with parameters determining the structure of the cluster.

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