Newtonian dynamics of systems of extended bodies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Fluid Dynamics, Gravitational Fields, Newton Theory, Newtonian Fluids, Angular Momentum, Conservation Laws, Continuity Equation, Dynamic Models, Equations Of Motion, Internal Energy, Kepler Laws

Scientific paper

A consistent method for describing the Newtonian dynamics of a bounded system composed of a number of perfect-fluid bodies of finite dimensions is described. The system has arbitrary internal structure and internal motions. The problem considered is the conditions under which the dynamical equations for such a system become formally the same as the corresponding equations valid for a system of point-masses. The applicability of the dynamic equations and the time-scale of applicability depend on three ratios which are described. Numerical results for some example cases are presented.

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