Abstract:We present a catalog of mean proper motions and membership probabilities of individual stars for optically visible open clusters, which have been determined using data from the UCAC4 catalog in a homogeneous way. The mean proper motion of the cluster and the membership probabilities of the stars in the region of each cluster were determined by applying the statistical method in a modified fashion. In this study, we applied a global optimization procedure to fit the observed distribution of proper motions with … Show more
“…Kurtenkov et al (2016) used both kinematic and photometric criteria to select the most reliable members and recalculated proper motions for a sample of 15 open clusters. For some of the clusters their results differ significantly from the ones given by Dias et al (2014), and they suggested that the difference could be linked to a field star contamination effect. In the case of NGC 1647, Kurtenkov et al (2016) calculated a proper motion (µα cos δ, µ δ ) = (−1.13, −1.27) mas yr −1 whereas Dias et al (2014) obtained (µα cos δ, µ δ ) = (−0.74, −0.57) mas yr −1 .…”
Section: Ngc 1647mentioning
confidence: 63%
“…For some of the clusters their results differ significantly from the ones given by Dias et al (2014), and they suggested that the difference could be linked to a field star contamination effect. In the case of NGC 1647, Kurtenkov et al (2016) calculated a proper motion (µα cos δ, µ δ ) = (−1.13, −1.27) mas yr −1 whereas Dias et al (2014) obtained (µα cos δ, µ δ ) = (−0.74, −0.57) mas yr −1 . Our cluster proper motion centroid (µα cos δ, µ δ ) = (−0.85, −1.11) mas yr −1 is in between both values but slightly closer to the Kurtenkov et al (2016) result (|∆µ| = 0.32 mas yr −1 ).…”
Section: Ngc 1647mentioning
confidence: 63%
“…There should be other additional members beyond the overdensity area where the cluster star density is around or below the local field star density. However, it is interesting to note that the number of overdensity stars is considerably smaller than the 459 very probable members (membership probabilities ≥ 90%) according to Dias et al (2014) (black points in Fig. 12) or than the 618 1-σ members found by K13.…”
Section: Ngc 1647mentioning
confidence: 83%
“…The latest version (3.5 of 2016 February) of D02 contains updated information on 2167 optically visible open clusters and candidates. Dias et al (2014) used the UCAC4 catalogue (Zacharias et al 2013) to determine in a homogeneous way kinematic memberships and mean proper motions for most of these clusters. However, the apparent radii of many of the clusters in D02 were compiled from older references (e.g.…”
Section: Sample Of Clustersmentioning
confidence: 99%
“…A precise knowledge of cluster properties such as distance, age, metallicity or reddening is necessary in order to be able to draw reliable conclusions. Large open cluster catalogues, like that published by Dias et al (2002Dias et al ( , 2014, compile all the available information required to make studies on, for instance, the rotation of the spiral patterns (Dias & Lépine 2005) or the Galactic star formation history (de la Fuente Marcos & de la Fuente Marcos 2004). However, this kind of data collections has the disadvantage of being highly heterogeneous.…”
We propose a method for calculating the radius of an open cluster in an objective way from an astrometric catalogue containing, at least, positions and proper motions. It uses the minimum spanning tree (hereinafter MST) in the proper motion space to discriminate cluster stars from field stars and it quantifies the strength of the clusterfield separation by means of a statistical parameter defined for the first time in this paper. This is done for a range of different sampling radii from where the cluster radius is obtained as the size at which the best cluster-field separation is achieved. The novelty of this strategy is that the cluster radius is obtained independently of how its stars are spatially distributed. We test the reliability and robustness of the method with both simulated and real data from a well-studied open cluster (NGC 188), and apply it to UCAC4 data for five other open clusters with different catalogued radius values. NGC 188, NGC 1647, NGC 6603 and Ruprecht 155 yielded unambiguous radius values of 15.2 ± 1.8, 29.4 ± 3.4, 4.2 ± 1.7 and 7.0 ± 0.3 arcmin, respectively. ASCC 19 and Collinder 471 showed more than one possible solution but it is not possible to know whether this is due to the involved uncertainties or to the presence of complex patterns in their proper motion distributions, something that could be inherent to the physical object or due to the way in which the catalogue was sampled.
“…Kurtenkov et al (2016) used both kinematic and photometric criteria to select the most reliable members and recalculated proper motions for a sample of 15 open clusters. For some of the clusters their results differ significantly from the ones given by Dias et al (2014), and they suggested that the difference could be linked to a field star contamination effect. In the case of NGC 1647, Kurtenkov et al (2016) calculated a proper motion (µα cos δ, µ δ ) = (−1.13, −1.27) mas yr −1 whereas Dias et al (2014) obtained (µα cos δ, µ δ ) = (−0.74, −0.57) mas yr −1 .…”
Section: Ngc 1647mentioning
confidence: 63%
“…For some of the clusters their results differ significantly from the ones given by Dias et al (2014), and they suggested that the difference could be linked to a field star contamination effect. In the case of NGC 1647, Kurtenkov et al (2016) calculated a proper motion (µα cos δ, µ δ ) = (−1.13, −1.27) mas yr −1 whereas Dias et al (2014) obtained (µα cos δ, µ δ ) = (−0.74, −0.57) mas yr −1 . Our cluster proper motion centroid (µα cos δ, µ δ ) = (−0.85, −1.11) mas yr −1 is in between both values but slightly closer to the Kurtenkov et al (2016) result (|∆µ| = 0.32 mas yr −1 ).…”
Section: Ngc 1647mentioning
confidence: 63%
“…There should be other additional members beyond the overdensity area where the cluster star density is around or below the local field star density. However, it is interesting to note that the number of overdensity stars is considerably smaller than the 459 very probable members (membership probabilities ≥ 90%) according to Dias et al (2014) (black points in Fig. 12) or than the 618 1-σ members found by K13.…”
Section: Ngc 1647mentioning
confidence: 83%
“…The latest version (3.5 of 2016 February) of D02 contains updated information on 2167 optically visible open clusters and candidates. Dias et al (2014) used the UCAC4 catalogue (Zacharias et al 2013) to determine in a homogeneous way kinematic memberships and mean proper motions for most of these clusters. However, the apparent radii of many of the clusters in D02 were compiled from older references (e.g.…”
Section: Sample Of Clustersmentioning
confidence: 99%
“…A precise knowledge of cluster properties such as distance, age, metallicity or reddening is necessary in order to be able to draw reliable conclusions. Large open cluster catalogues, like that published by Dias et al (2002Dias et al ( , 2014, compile all the available information required to make studies on, for instance, the rotation of the spiral patterns (Dias & Lépine 2005) or the Galactic star formation history (de la Fuente Marcos & de la Fuente Marcos 2004). However, this kind of data collections has the disadvantage of being highly heterogeneous.…”
We propose a method for calculating the radius of an open cluster in an objective way from an astrometric catalogue containing, at least, positions and proper motions. It uses the minimum spanning tree (hereinafter MST) in the proper motion space to discriminate cluster stars from field stars and it quantifies the strength of the clusterfield separation by means of a statistical parameter defined for the first time in this paper. This is done for a range of different sampling radii from where the cluster radius is obtained as the size at which the best cluster-field separation is achieved. The novelty of this strategy is that the cluster radius is obtained independently of how its stars are spatially distributed. We test the reliability and robustness of the method with both simulated and real data from a well-studied open cluster (NGC 188), and apply it to UCAC4 data for five other open clusters with different catalogued radius values. NGC 188, NGC 1647, NGC 6603 and Ruprecht 155 yielded unambiguous radius values of 15.2 ± 1.8, 29.4 ± 3.4, 4.2 ± 1.7 and 7.0 ± 0.3 arcmin, respectively. ASCC 19 and Collinder 471 showed more than one possible solution but it is not possible to know whether this is due to the involved uncertainties or to the presence of complex patterns in their proper motion distributions, something that could be inherent to the physical object or due to the way in which the catalogue was sampled.
In this paper, the fourth in a series, we examine again one of the implications of the Lin-Shu density-wave theory, specifically, the noncircular systematic motion of the Galactic objects. Our previous investigation is extended by analyzing simultaneously both the line-of-sight and transversal velocities of a sample of open clusters for which velocities, distances and ages are available. The ordinary equations of the Oort-Lindblad theory of galactic differential rotation are used. The minor effects caused by the two-dimensional tightly-wound density waves are also taken into account. The published data of 242 currently known optically visible clusters having distances r < 3 kpc from the Sun and −200 < z < 200 pc from the Galactic plane, and ages 2×10 8 < t < 2×10 9 yr are collected from Dias et al. (2014), excluding extremely far, high-velocity, young and old objects in our fitting. The most noteworthy result is the fact that the parameters of Lin-Shu type density waves estimated from two independent line-of-sight and transversal along the Galactic longitude velocities are nearly equal. We argue that the resemblance of these Galactic wave structures is so remarkable that no doubt is felt as to the theory's truth with respect to these data. The results obtained allow us to conclude that several low-m trailing density-wave patterns with different number of spiral arms m (say, m = 1, 2, 3, and 4), pitch angles (about 5• , 8• , 11• , and 14 • , respectively) and amplitudes of the perturbed gravitational potential may coexist in the Galaxy. The latter suggests the asymmetric multiarm, not well-organized ("flocculent") spiral structure of the system.
The estimation of the main parameters of star clusters is significant in astrophysical studies. The most important aspect of using the Gaia DR2 survey lies in the positions, parallax, and proper motions of cluster stars with homogeneous photometry that make the membership probability determine with high accuracy.In this respect, depending on Gaia DR2 database, an analysis of the open star cluster Melotte 72 is taking place here. It is located at a distance of 2,345 ± 108 pc with an age of 1.0 ± 0.5 Gyr. In studying the radial density profile, the radius is found to be 5.0 ± 0.15 arcmin. The reddening, the luminosity and mass functions, the total mass of the cluster, and the galactic geometrical distances (X ⊙ , Y ⊙ , Z ⊙ ), and the distance from the galactic center (R g ) have been estimated as well. Our study has shown a dynamical relaxation behavior of Melotte 72.
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