A statistical analysis of two-dimensional patterns and its application to astrometry

Závada, P.; Piska, K.

doi:10.1051/0004-6361/201732170

Cited by 3 publications

(3 citation statements)

References 10 publications

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“…8. Figure demonstrates that higher β A could be also reached by squeezing the parameter d c in window A (14). Note, the effectively wider peak for magnitude G ≤ 15 is due to a lower level of background pairs, which can be seen from the comparison of Fig.…”

Section: Selection Of Binaries and Calculation Of Backgroundmentioning

confidence: 72%

“…To identify their candidates, we generalize our criterion of binary candidates. For each pair in the candidate multiple system we require the same condition as for separation of binaries (14). Three stars create three separations, four stars create six separations.…”

Section: Wide Trinaries and Quaternariesmentioning

confidence: 99%

“…In our previous studies [14,15] we have developed and applied statistical methods for the identification of binaries and multiple stars with an accurate estimate of the background. The resulting catalogue based on the 3D event analysis contains about 8 × 10 4 binary candidates at a distance of up to 340 pc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Catalogue of wide binary, trinary and quaternary candidates from the Gaia data release 2 (region $\left\vert b\right\vert >25\,°$)

Zavada,

Píška

2021

Preprint

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The occurrence of multiple stars, dominantly binaries, is studied using the Gaia-ESA DR2 catalogue. We apply the optimized statistical method that we previously developed for the analysis of 2D patterns. The field of stars is divided into a mosaic of small pieces, which represent a statistical set for analysis. Specifically, data input is represented by a grid of circles (events) with radius 0.02 deg covering the sky in the field of galactic latitude |b| > 25 deg. The criteria for selecting candidates for multiple stars are based on two parameters: angular separation and collinearity of proper motion. Radial separation, due to limited accuracy, is used only as a weaker supplementary constraint. Due attention is paid to the accurate calculation of the background, which is a necessary input for evaluating the quality of the candidates. Our selection algorithm generates the catalogue of candidates: 900, 842 binaries, 5, 282 trinaries and 30 quaternaries.

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Section: Selection Of Binaries and Calculation Of Backgroundmentioning

confidence: 72%

Section: Wide Trinaries and Quaternariesmentioning

confidence: 99%

See 1 more Smart Citation

Catalogue of wide binary, trinary and quaternary candidates from the Gaia data release 2 (region $\left\vert b\right\vert >25\,°$)

Zavada,

Píška

2021

Preprint

Self Cite

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Statistical Analysis of Binary Stars from the Gaia Catalog Data Release 2

Závada

Piska

2020

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We have developed a general statistical procedure for analysis of 2D and 3D finite patterns, which is applied to the data from recently released Gaia-ESA catalog DR2. The 2D analysis clearly confirms our former results on the presence of binaries in the former DR1 catalog. Our main objective is the statistical 3D analysis of DR2. For this, it is essential that the DR2 catalog includes parallaxes and data on the proper motion. The analysis allows us to determine for each pair of stars the probability that it is the binary star. This probability is represented by the function depending on the separation. Furthermore, a combined analysis of the separation with proper motion provides a clear picture of binaries with two components of the motion: parallel and orbital. The result of this analysis is an estimate of the average orbital period and mass of the binary system. The catalog we have created involves 80,560 binary candidates.

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Catalog of Wide Binary, Trinary and Quaternary Candidates from the Gaia Data Release 2 (Region ∣b∣ > 25°)

Závada

Piska

2021

View full text Add to dashboard Cite

The occurrence of multiple stars, dominantly binaries, is studied using the Gaia-ESA DR2 catalog. We apply the optimized statistical method that we previously developed for the analysis of 2D patterns. The field of stars is divided into a mosaic of small pieces that represent a statistical set for analysis. Specifically, data input is represented by a grid of circles (events) with radius 0.°02 covering the sky in the field of galactic latitude ∣b∣ > 25°. The criteria for selecting candidates for multiple stars are based on two parameters: angular separation and collinearity of proper motion. Radial separation, due to limited accuracy, is used only as a weaker supplementary constraint. Due attention is paid to the accurate calculation of the background, which is a necessary input for evaluating the quality of the candidates. Our selection algorithm generates the catalog of candidates: 900,842 binaries, 5282 trinaries, and 30 quaternaries.

show abstract

A statistical analysis of two-dimensional patterns and its application to astrometry

Cited by 3 publications

References 10 publications

Catalogue of wide binary, trinary and quaternary candidates from the Gaia data release 2 (region $\left\vert b\right\vert >25\,°$)

Catalogue of wide binary, trinary and quaternary candidates from the Gaia data release 2 (region $\left\vert b\right\vert >25\,°$)

Statistical Analysis of Binary Stars from the Gaia Catalog Data Release 2

Catalog of Wide Binary, Trinary and Quaternary Candidates from the Gaia Data Release 2 (Region ∣b∣ > 25°)

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