Mathematics – Probability
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992an....313..341b&link_type=abstract
Astronomische Nachrichten (ISSN 0004-6337), vol. 313, no. 6, p. 341-347.
Mathematics
Probability
Astronomical Catalogs, Binary Stars, Stellar Motions, Visual Observation, Double Stars, Probability Density Functions, Two Dimensional Models
Scientific paper
A sample consisting of 888 wide visual double stars with known relative proper motions has been processed for the HIPPARCOS input catalog. Brosche et al. (1992) applied two separate criteria on this list to discriminate statistically between physical and optical pairs. The first of these criteria uses the number density contrast, the second the ratio of the tangential velocity to an estimate of the orbital velocity, assuming the pair to be physical. Here we combine these two separate criteria into a single criterion based on a probability depending on two arguments, i.e., on a conditional probability. Statistically, we are thus led to the conclusion that the sample comprises 545 physical and 343 optical pairs.
Brosche Peter
Denis Collange
Denis-Karafistan A.
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