On the selection effects in catalogues of binary stars
Investigation of physical properties of different kinds of binary stars can provide us with an invaluable information about star formation and evolution. To obtain present-day distributions of binaries along various parameters from catalogues, selection effects should be taken into account. In this...
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Головна астрономічна обсерваторія НАН України
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| Цитувати: | On the selection effects in catalogues of binary stars / A.A. Isaeva // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 1. — С. 25-27. — Бібліогр.: 3 назв. — англ. |
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irk-123456789-1191672017-06-05T03:03:57Z On the selection effects in catalogues of binary stars Isaeva, A.A. Investigation of physical properties of different kinds of binary stars can provide us with an invaluable information about star formation and evolution. To obtain present-day distributions of binaries along various parameters from catalogues, selection effects should be taken into account. In this paper some catalogues of visual binaries were investigated with respect to selection effects. The distributions of catalogue binaries with respect to components separation, limiting magnitude and magnitude difference were studied and corrected for selection effects. 2012 Article On the selection effects in catalogues of binary stars / A.A. Isaeva // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 1. — С. 25-27. — Бібліогр.: 3 назв. — англ. 2227-1481 http://dspace.nbuv.gov.ua/handle/123456789/119167 en Advances in Astronomy and Space Physics Головна астрономічна обсерваторія НАН України |
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Investigation of physical properties of different kinds of binary stars can provide us with an invaluable information about star formation and evolution. To obtain present-day distributions of binaries along various parameters from catalogues, selection effects should be taken into account. In this paper some catalogues of visual binaries were investigated with respect to selection effects. The distributions of catalogue binaries with respect to components separation, limiting magnitude and magnitude difference were studied and corrected for selection effects. |
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Article |
| author |
Isaeva, A.A. |
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Isaeva, A.A. On the selection effects in catalogues of binary stars Advances in Astronomy and Space Physics |
| author_facet |
Isaeva, A.A. |
| author_sort |
Isaeva, A.A. |
| title |
On the selection effects in catalogues of binary stars |
| title_short |
On the selection effects in catalogues of binary stars |
| title_full |
On the selection effects in catalogues of binary stars |
| title_fullStr |
On the selection effects in catalogues of binary stars |
| title_full_unstemmed |
On the selection effects in catalogues of binary stars |
| title_sort |
on the selection effects in catalogues of binary stars |
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Головна астрономічна обсерваторія НАН України |
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2012 |
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http://dspace.nbuv.gov.ua/handle/123456789/119167 |
| citation_txt |
On the selection effects in catalogues of binary stars / A.A. Isaeva // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 1. — С. 25-27. — Бібліогр.: 3 назв. — англ. |
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Advances in Astronomy and Space Physics |
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AT isaevaaa ontheselectioneffectsincataloguesofbinarystars |
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2025-07-08T15:21:35Z |
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2025-07-08T15:21:35Z |
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1837092671379734528 |
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On the selection e�ects in catalogues of binary stars
A.A. Isaeva∗
Advances in Astronomy and Space Physics, 2, 25-27 (2012)
© A.A. Isaeva, 2012
Sternberg Astronomical Institute, Moscow State University, Universitetsky pr., 13, 119992 Moscow, Russia
Investigation of physical properties of di�erent kinds of binary stars can provide us with an invaluable information
about star formation and evolution. To obtain present-day distributions of binaries along various parameters from
catalogues, selection e�ects should be taken into account. In this paper some catalogues of visual binaries were
investigated with respect to selection e�ects. The distributions of catalogue binaries with respect to components
separation, limiting magnitude and magnitude di�erence were studied and corrected for selection e�ects.
Key words: catalogues; (stars:) binaries: visual; stars: statistics
introduction
The star formation history (in particularly, the
initial mass function) is a fundamental aspect de�n-
ing all consequent stellar evolution and observational
properties of stars and stellar systems. Binary stars
serve as invaluable source of our knowledge of stel-
lar parameters, however, the their observed distribu-
tions should be corrected for selection e�ects.
The aim of our study is to �nd the distributions
of binaries with respect to angular separation and
magnitude di�erence of components.
catalogues and sky distribution
We have performed an analysis of visual binaries
from three catalogues, namely:
1. Catalogue of Components of Double & Multi-
ple stars (CCDM [1]),
2. the Washington Visual Double Star Catalogue
(WDS1),
3. Tycho Double Star Catalogue (TDSC [2]).
Firstly, we studied the distribution of binary stars
over the sky. The observed star distributions re-
�ect spatial concentration toward the Milky Way (for
CCDM see Fig. 1, left panel) and some irregular-
ities over the declination. These irregularities can
be explained by the fact that the observations were
made in relatively narrow declination strips (see Ta-
ble 1). They can bias the �nal distributions. More-
over, some of these observations contain many opti-
cal double stars [3]. Authors of some observations
e. g. Smart W.M., who observed the whole sky) dis-
covered many optical double stars. These stars were
found in WDS and CCDM catalogues. The opti-
cal pairs bias �nal distributions, that is why they
were removed from the statistics. We removed pairs
observed by Ali, Smart, Baillaud, Scheiner, Stein,
Pourteau, Aravamudan.
Table 1: Observations in declination strips.
dec, deg designation author
+38 ALI Ali1949 Ali A.
+38 ES Es 1901 Espin T.E.
+38 SEI Sei1908 Scheiner J.
+24 POU Pou1933 Pourteau M.
+2 BAL Bal1924 Baillaud R.
+56 STI Sti1932 Stein J.
-20 ARA Ara1961 Aravamudan S.
-62 JSP Jsp1935 Jessup M.K.
Initially we considered TDSC as a homogeneous
catalogue, however, according to one of its authors
(C. Fabricius, 2011, private communication), a cross
match of Tycho binary stars was made with WDS,
and the authors have 1,220 systems from Tycho-2,
18,160 other systems already in WDS, 13,251 sys-
tems not in WDS.
The TDCS sky distribution, corrected for WDS
stars, is shown in Fig. 1, right panel. A concentra-
tion towards ecliptic latitude ±47◦, produced due to
the Hipparcos scanning technique, is also visible as
two weak wave-like structures.
correction for selection effects
The magnitude and angular separation distribu-
tions of catalogued binaries are subjects to selection
∗is.stasya@yahoo.com
1http://ad.usno.navy.mil/wds/
25
Advances in Astronomy and Space Physics A.A. Isaeva
Fig. 1: The distributions of binary stars in CCDM (left) and TDSC (right).
e�ects. To correct the �rst one, a limiting stellar
magnitude should be known for a given catalogue.
The distributions of primary and secondary compo-
nents for catalogues CCDM, WDS and TDSC (see
Fig. 2) were used to determine completeness limit.
The data may be considered as statistically complete
up to mv1 = 10.25m for WDS, mv1 = 11m for TDSC
and mv1 = 9m for CCDM.
To correct an upper limit of the angular separa-
tion distribution optical pairs were removed from the
sets. For a lower limit a value of 0.1′′ was taken. It
is a typical value for 1-m aperture telescope, used by
observers of visual binaries.
results and conclusions
The resulting distributions of angular separation
and the components magnitude di�erence, corrected
for the selection e�ects discussed above, are shown
in Fig. 3. One can see that the distributions of ρ and
∆m (for 0.25 < ρ < 103 and 0 < ∆m < 7) show a
good agreement for WDS and CCDM, and can be
approximated by the expression:
y1 = A1 + A2ρ + A3ρ
2 + A4ρ
3,
A2 = −0.40± 0.09,
A3 = 0.56± 0.09, A4 = −0.19± 0.02.
y2 = B1 + B2∆m,
B2 = −0.38± 0.01.
For TDSC (for 0 < ∆m < 2.5):
y3 = C1 + C2∆m
C1 = 2.76± 0.18, C2 = −1.29± 0.14.
Coe�cients A and B depend on catalogue complete-
ness. According to Fisher test at a signi�cance level
of 0.05 a 3rd order polynomial is statistically optimal
for the distribution of ρ. The distributions for TDSC
stars slightly di�ers from the other catalogues. This
is a subject of our further study.
acknowledgement
I am grateful to Oleg Malkov and Claus Fabricius
for helpful discussions and suggestions.
references
[1] Dommanget J. & Nys O., 2002, Observations et Travaux,
54, 5
[2] Fabricius C., Høg E., Makarov V.V. et al. 2002, A&A,
384, 180
[3] Poveda A., Allen C. & Parrao L. 1982, ApJ, 258, 589
26
Advances in Astronomy and Space Physics A.A. Isaeva
Fig. 2: The distribution of primary and secondary components for catalogues CCDM, TDSC and WDS.
Fig. 3: The resulting distributions of angular separation and the components magnitude di�erence, corrected for the
selection e�ects.
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