Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1970
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970ap%26ss...6..275s&link_type=abstract
Astrophysics and Space Science, Volume 6, Issue 2, pp.275-286
Astronomy and Astrophysics
Astrophysics
Scientific paper
The potential energy of clusters of stars in which the distribution of matter is taken to be continuous is compared with that of static model clusters in which the distribution of matter is discrete, the comparison being made from the point of view of applying the virial theorem to estimate the masses of the clusters. There is good agreement on the average between the two cases as long as the stellar distribution is random. Systematic differences occur whenever there is any departure from randomness. However, reduction of the mass of a cluster as estimated by means of the virial theorem by even as much as a factor of 2 on the average would seem to require even greater departures from randomness in the stellar distribution than are considered here. As might be expected there are sometimes very large fluctuations in the potential energy from one cluster to the next in the discrete case.
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