Jacobi Dynamics And The N-Body Problem With Variable Masses |
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| Authors: | C M Giordano A R Plastino |
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| Institution: | (1) Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, C.C. 727, (1900) La Plata, Argentina, e-mail;(2) Departament de Física, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain, e-mail |
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| Abstract: | An appropriate generalization of the Jacobi equation of motion for the polar moment of inertia I is considered in order to study the N-body problem with variable masses. Two coupled ordinary differential equations governing the evolution of I and the total energy E are obtained. A regularization scheme for this system of differential equations is provided. We compute some illustrative
numerical examples, and discuss an average method for obtaining approximate analytical solutions to this pair of equations.
For a particular law of mass loss we also obtain exact analytical solutions. The application of these ideas to other kind
of perturbed gravitational N-body systems involving drag forces or a different type of mass variation is also considered.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Jacobi dynamics N-body problem variable mass |
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