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The Third and Fourth Moments of the Local Stellar Velocity Distribution

Published online by Cambridge University Press:  30 March 2016

R. H. Miller*
Affiliation:
University of Chicago, U.S.A.

Abstract

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The velocity moments through the fourth order were calculated for a subset of 870 astrophysically selected stars from Gliese’s catalog. An essential part of this program was the determination of the covariances of estimates of the moments; both sampling and observational error contributions were taken into account in evaluating the total covariance matrix. In applications to the study of galactic structure, the Gliese stars are regarded as tracers of the galactic potential. The moments found are consistent with conventional assumptions about symmetries of the galaxy. Certain galactic parameters, such as the curvature in the law of rotation and the asymmetric drift, were studied with the help of the values obtained for the moments.

Type
Joint Discussions
Copyright
Copyright © Reidel 1974

References

Gliese, W.: 1969, Veröffentl. Astron. Rechen-Inst. Heidelberg, No. 22.Google Scholar
Kaplan, E. L.: 1952, Biometrika 39, 319.Google Scholar
Oort, J. H.: 1965, Stars and Stellar Systems 5, 455.Google Scholar