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## Archive of Issues

Russia Yekaterinburg
Year
2013
Issue
2
Pages
65-73
 Section Mechanics Title Correlations and instabilities of phase density fluctuations in models of open star clusters Author(-s) Danilov V.M.a, Putkov S.I.a Affiliations Ural Federal Universitya Abstract The investigation of dynamical evolution of 6 open cluster models is carried out on data about phase coordinates of stars received by numerical integration of stellar motion equations. To attain the aim the phase coordinates of stars for 100 equidistant moments of time from the initial $t=0$ to $t_m \simeq 5.1 \tau_{vr}$ ($\tau_{vr}$ is the initial time of cluster violent relaxation), are used. Over the interval of time the rounding-off errors and errors because of exponential growth of initial coordinates perturbations do not affect statistical conclusions about motion behavior of cluster stars. The investigation method is based on calculations of mutual correlation functions $C_{1,2}=C_{1,2}(\tau, r)$ ($\tau$ is the time delay, $r$ is the distance between the points) for phase density fluctuations and application of Fourier transformations of functions $C_{1,2}$ in order to calculate frequency spectra and dispersion relations. The analysis of graphics $C_{1,2}$, frequency spectra and dispersion curves confirms the existence of phase density waves in cluster models, allows to get a complete spectrum of phase density radial oscillations, to separate stable and unstable oscillations, to calculate the periods of phase density oscillations and increments of unstable phase density oscillations. The theoretical estimations of periods of known unstable homological core oscillations of cluster models are confirmed. Pointed out are some astrophysical applications of results received: the origin of irregular structures in open clusters, weak turbulence of cluster star motions. Keywords stellar dynamics, phase density, correlations, unstable fluctuations, open star clusters UDC 524.45-54 MSC 82C22, 82D10 DOI 10.20537/vm130207 Received 17 January 2013 Language Russian Citation Danilov V.M., Putkov S.I. Correlations and instabilities of phase density fluctuations in models of open star clusters, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 65-73. References Danilov V.M., Putkov S.I. Non-stationarity parameters of open clusters, Astronomy Reports, 2012, vol. 56, no. 8, pp. 609–622. DOI: 10.1134/S106377291208001X Danilov V.M., Dorogavtseva L.V. Timescales for mechanisms for the dynamical evolution of open star clusters, Astronomy Reports, 2008, vol. 52, no. 6, pp. 467–478. DOI: 10.1134/S1063772908060048 Danilov V.M. Analysis of density fluctuations in models of open clusters, Astronomy Reports, 2008, vol. 52, no. 11, pp. 888–899. DOI: 10.1134/S1063772908110036 Danilov V.M. 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