The dynamics of bodies with variable masses

Details The dynamics of bodies with variable masses The dynamics of bodies with variable masses

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..357l&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Astronomy and Astrophysics

Astronomy

19

Astrodynamics, Celestial Mechanics, Lie Groups, Many Body Problem, Nebulae, Variable Mass Systems, Binomials, Differential Equations, Equations Of Motion, Momentum Transfer, Perturbation Theory, Series Expansion, Solar System, Two Body Problem

Scientific paper

The Lie-series provide a convenient and simple method to solve systems of differential equations, especially in problems dealing with variable masses. A system of n-bodies moving inside a cloud and collecting mass is considered. The equations of motion are derived whereby the interchange of momentum is treated as a perturbation. It is shown that the solutions, represented by Lie-series, can be expressed by binomial expansions plus a perturbation which can be solved by iteration. In addition, the motion of massless bodies experiencing frictional forces is briefly discussed.

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