J/AZh/89/674 Dynamical parameters of open clusters (Danilov+, 2012) ================================================================================ Non-stationarity parameters of open clusters. Danilov V.M., Putkov S.I. =2012AZh....89..674D =2012ARep...56..609D ================================================================================ ADC_Keywords: Clusters, open Abstract: Presented are the estimates of open cluster dynamical parameters: the cluster core density contrast, the stellar velocity dispersions allowing for influence of Galaxy external field and non-stationarity of the cluster, the oscillation periods of the cluster and the cluster core, the amplitudes of oscillations of a cluster virial factor and a radius of the cluster core. All the values were analytically received as a result solution of the gross dynamical equations for spherical and ellipsoidal cluster models. Description: {alpha}_0_ - is the mean value of a virial factor, {delta}{alpha}-is the amplitude of virial factor oscillations, {nu}={rho}_c_/{rho}_0_-is the density contrast ({rho}_c_ - is the mean density of a cluster core, {rho}_0_ - is the cluster centre density), N_K_/N - is the ratio of the stars number in a cluster received by King's distribution and by stellar counts, P_1_-is the period of cluster core oscillations, P_2_ - is the period of cluster oscillations, {delta}R_1_/R_10_-is the relative amplitude of core radius oscillations, {lambda}={sigma}/{sigma}_iz_, {sigma}_iz_^2^ - is the velocity dispersion of an isolated virialized cluster, {sigma}^2^, {sigma}_1_^2^, {sigma}_2_^2^ - are the velocity dispersions of nonisolated nonsteady clusters with spherical halo; with ellipsoidal halo elongated to the centre of Galaxy; with ellipsoidal halo elongated to the direction of cluster motion correspondingly. Errors of values {alpha}_0_, {delta}{alpha}, {delta}R_1_/R_10_, P_1_ have been estimated by the assumption of the normal distribution of the values M (the mass of a cluster), R_2_ (the radius of a cluster), {xi} (the ratio of core radius to halo radius), {mu} (the ratio of core mass to halo mass). Assuming a deviation of one of the four values equal to zero we receive four sections of 1{sigma}-errors ellipsoid. These sections are the spheres of radius 2^0.5^. Taking points on each sphere with the step 0.25*{pi} on angular coordinates we receive 96 points on a surface of the 1{sigma}-errors ellipsoid. The values {alpha}_0_, {delta}{alpha}, {delta}R_1_/R_10_, P_1_ were calculated in the 96 points. The centre of the ellipsoidal was used for calculation of the mean values. The errors of the values were computed as root-mean-squire deviations of 96 values from the same mean values. The errors of the others values of the catalog were computed by the errors calculation rule of indirect measuring. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 . This file table3.dat 55 87 List of non-stationarity parameters table4.dat 64 87 List of non-stationarity parameters table5.dat 48 87 List of non-stationarity parameters -------------------------------------------------------------------------------- Byte-by-byte Description of file: table3.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 8 A8 --- Cluster Cluster name 10- 15 F6.3 --- alpha0 ? {alpha}_0_, the mean value of a virial factor 17- 21 F5.3 --- e_alpha0 ? The error of {alpha}_0_ 23- 28 F6.4 --- dalpha ? {delta}{alpha}, the amplitude of virial factor oscillations 30- 35 F6.4 --- e_dalpha ? The error of {delta}{alpha} 37- 40 F4.1 --- nu ? {nu}, the density contrast 42- 45 F4.1 --- e_nu ? The error of {nu} 47- 50 F4.2 --- NK/N The ratio N_K_/N, number of stars from a King's distribution relative to stellar counts 52- 55 F4.2 --- e_NK/N The error of N_K_/N -------------------------------------------------------------------------------- Byte-by-byte Description of file: table4.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 8 A8 --- Cluster Cluster name 10- 14 F5.2 Myr P1 The period of cluster core oscillations 16- 20 F5.2 Myr e_P1 The error of P1 22- 26 F5.2 Myr P2 ? The period of cluster oscillations 28- 32 F5.2 Myr e_P2 ? The error of P2 34- 38 F5.3 --- d(R1/R10) The relative amplitude of core radius oscillation, {delta}R_1_/R_10_ 40- 44 F5.3 --- e_d(R1/R10) The error of {delta}R_1_/R_10_ 46- 49 F4.2 pc/Myr sigma {sigma}, the root of a star velocity dispersion in a case of the spherical halo 51- 54 F4.2 pc/Myr e_sigma The error of {sigma} 56- 59 F4.2 --- lambda {lambda}={sigma}/{sigma}_iz_, the ratio of velocity dispersion to that of an isolated virialized cluster {sigma}_iz_ 61- 64 F4.2 --- e_lambda The error of {lambda} -------------------------------------------------------------------------------- Byte-by-byte Description of file: table5.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 8 A8 --- Cluster Cluster name 10- 13 F4.2 pc/Myr sigma1 {sigma}_1_, the root of a star velocity dispersion in a case of the ellipsoidal halo elongated to the centre of Galaxy 15- 18 F4.2 pc/Myr e_sigma1 The error of {sigma}_1_ 20- 23 F4.2 --- lambda1 {lambda}_1_={sigma}_1_/{sigma}_iz_ (relative to isolated virialized cluster) 25- 28 F4.2 --- e_lambda1 The error of {lambda}_1_ 30- 33 F4.2 pc/Myr sigma2 {sigma}_2_, the root of a star velocity dispersion in a case of the ellipsoidal halo elongated to the direction of cluster motion 35- 38 F4.2 pc/Myr e_sigma2 The error of {sigma}_2_ 40- 43 F4.2 --- lambda2 {lambda}_2_={sigma}_2_/{sigma}_iz_ (relative to isolated virialized cluster) 45- 48 F4.2 --- e_lambda2 The error of {lambda}_2_ -------------------------------------------------------------------------------- Acknowledgements: Vladimir Michailovich Danilov, Vladimir.Danilov(at)usu.ru Stanislav Igorevich Putkov, Putkov_S(at)mail.ru ================================================================================ (End) Patricia Vannier [CDS] 10-Dec-2012