The study of twins is widely used for research into genetic and environmental influences on human outcome measurements. For the study design in which independent samples of monozygotic and dizygotic twins are compared with respect to their similarity on a binary trait, several statistical methods ha
Binary statistics from Hipparcos data – a progress report
✍ Scribed by S. Söderhjelm
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 106 KB
- Volume
- 321
- Category
- Article
- ISSN
- 0004-6337
No coin nor oath required. For personal study only.
✦ Synopsis
The Hipparcos data are an important source for constraining the statistical distribution functions for the binaries in the general field. The present study uses the resolved binaries (separation 0.1-10 arcsec, magnitude-differences below 4 mag) to check directly the frequency of main-sequence binaries with (linear) separations 30-500 a.u. and mass-ratios 0.6-1.0. Complete Hipparcos samples have limiting apparent magnitudes brighter than mag 8, and contain therefore rather few stars. By modelling the completeness using the Tycho observations (complete to mag 10), we may increase substantially the number of useable Hipparcos stars while keeping a tolerable level of systematic uncertainty. The results, for stellar masses not much above solar, show binary frequencies typically a factor two above those usually assumed. Also, although the mass-ratio distribution function generally decreases towards larger q, there is a definite narrow peak at q=1. In order to use the Hipparcos data to full advantage, a more indirect approach is necessary. By modelling both the local Galaxy and the Hipparcos observations, one may put constraints also on the number of closer binaries which show up in the Hipparcos Catalog as non-linear proper motions.
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