The stability of Galactic open clusters immersed in a gravitating background

Physics

Scientific paper

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Circular Orbits, Galactic Clusters, Gravitational Fields, Lagrangian Equilibrium Points, Galactic Evolution, Interstellar Magnetic Fields, Quadratures

Scientific paper

Consideration is given to the dynamical evolution of open clusters immersed in a homogeneous gravitating background and rotating along the circular orbit around the center of the Galaxy. Taking into account a tidal approximation of the Galactic field and the commensurability of distances between cluster members, the solution of the generalized Lagrange-Jacobi virial equation leads to quadratures. The results are used to determine the possible types of cluster evolution.

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