Mathematics – Probability
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981rmxaa...6...95k&link_type=abstract
(International Astronomical Union, Reunion Regional Lationamericana de Astronomia, 2nd, Merida, Venezuela, Jan. 19-23, 1981) Rev
Mathematics
Probability
1
Probability Distribution Functions, Stellar Luminosity, Ellipsoids, Southern Sky, Stellar Magnitude, Stellar Motions, Velocity Distribution
Scientific paper
A method is developed to calculate absolute magnitude probability distributions for stars from a proper motion survey. This method uses ellipsoidal velocity distributions to predict tangential velocity distributions. The tangential velocity distributions are transformed into absolute magnitude distributions. The absolute magnitude distributions for the stars in a proper motion survey may be summed to produce a luminosity function. This method was applied to stars in the region of the south galactic pole and the resulting luminosity function is statistically identical to Luyten's 1968 luminosity function.
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