Statistics – Computation
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...168..105r&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 168, no. 1-2, Nov. 1986, p. 105-110.
Statistics
Computation
14
Binary Stars, Cataclysmic Variables, Spatial Distribution, Stellar Magnitude, Stellar Physics, White Dwarf Stars, Computational Astrophysics, Interstellar Extinction, Orbital Elements, Space Density, Stellar Evolution
Scientific paper
An analytical discussion of observational selection in a magnitude-limited sample of cataclysmic binaries (CBs) is presented. Following the method outlined by Ritter and Burkert (1986), two limiting cases for the assumed spatial distribution of CBs, i.e. constant space density with spherical symmetry or constant surface density in an infinitely thin disk, are investigated with and without interstellar absorption being taken into account. It is shown that the dependence of the strength of selection in favor of massive white dwarfs, of the mean orbital inclination and the fraction of eclipsing systems of a sample on the limiting magnitude m(y) reflects the large-scale distribution of CBs in the galaxy and the influence of interstellar absorption. However, within the validity of each of the approximations investigated, selection does not depend on m(y). Furthermore, it is shown how selection in favor of massive white dwarfs depends on the mass-radius relation of white dwarfs. Finally the fraction of CBs that have evolved beyond the period minimum among the CBs below the period gap is investigated.
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