Mathematics – Probability
Scientific paper
Sep 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apjs...44...31c&link_type=abstract
Astrophysical Journal Supplement Series, vol. 44, Sept. 1980, p. 31-71.
Mathematics
Probability
95
Astronomical Photography, Star Distribution, Stellar Luminosity, Stellar Motions, Astronomical Photometry, Classifications, Probability Distribution Functions, Root-Mean-Square Errors, Tables (Data)
Scientific paper
Proper motions of stars with V greater than 20.5 in SA 51, SA 57, and SA 68 were derived from a set of Lick 3 m, Hale 5 m, and KPNO 4 m prime-focus plates. The typical rms error of a relative proper motion is 0.04 arcsec per century for a 25 year baseline. Proper motions and photographically determined V and B-V were used to construct reduced proper motion diagrams. A theory is presented for classifying the stars into different populations and luminosity classes with a probabilistic approach based on the distribution function of the reduced proper motion as a function of B-V. By fitting a theoretical ridge line to the observed data points in the reduced proper motion diagram, it is concluded that the Population I main sequence in the sample has both a higher velocity dispersion and a lower metallicity than those in the solar neighborhood.
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