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Celestial mechanics

, Volume 34, Issue 1–4, pp 357–368 | Cite as

The dynamics of bodies with variable masses

  • H. Lichtenegger
Cosmogony

Abstract

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 isside a cloud and collecting mass is considered. The equations of motion are derived where-by 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 interation. In addition, the motion of massless bodies experiencing frictional forces is briefly discussed.

Keywords

Differential Equation Frictional Force Variable Mass Binomial Expansion Massless Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Gröbner, W.: 1967, Die Lie-Reihen und ihre Anwendungen VEB Deutscher Verlag der Wissenschaften, BerlinGoogle Scholar
  2. Gröbner, W., Knapp, H.: 1967a, Contribution to the Method of Lie-Series Bibliograph. Inst., MannheimGoogle Scholar
  3. Hanslmeier, A., Dvorak, R.: 1984, Numerical Integration with Lie-Series Astron. Astrophys.132, Nr. 1Google Scholar

Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • H. Lichtenegger
    • 1
  1. 1.Institut für AstronomieKarl-Franzens-UniversitätGrazAustria

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