Determination of the Luminosity Function up to M_v=9

Details Determination of the Luminosity Function up to M_v=9 Determination of the Luminosity Function up to M_v=9

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997esasp.402..551p&link_type=abstract

Proceedings of the ESA Symposium `Hipparcos - Venice '97', 13-16 May, Venice, Italy, ESA SP-402 (July 1997), p. 551-554

Statistics

Computation

1

Scientific paper

The high quality of Hipparcos data and specially of parallaxes allows the accurate determination of the luminosity function in the solar neighbourhood. Complete samples must however be defined in order to derive unbiased distributions. For stars intrinsically brighter than M_V = 5 mag, the completeness is assured by the Hipparcos Survey. For stars intrinsically fainter, a distance-limited complete sample is established using the V/V_(max) method (Schmidt 1968). The different biases due to sample selections and observational errors on the parallaxes are examined and a non-parametric statistical method is presented which takes them into account and corrects the observed distributions. A model for interstellar absorption can be included in the computation. First results confirm that the luminosity function adopted in previous studies has been overestimated.

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