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Celestial Mechanics and Dynamical Astronomy

, Volume 60, Issue 1, pp 161–172 | Cite as

Family boundary curves for autonomous dynamical systems

  • George Bozis
Article

Abstract

The notion of the family boundary curves (FBC), introduced recently for two-dimensional conservative systems, is extended to account for, generally, nonconservative autonomous systems of two degrees of freedom. Formulae are found for the force componentsX (x, y),Y (x, y) which produce a preassigned family of orbitsf(x, y)=c lying inside a preassigned, open or closed, regionB(x, y)≥0 of the xy plane.

Key words

inverse problem family boundary curves 

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References

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • George Bozis
    • 1
  1. 1.Department of Theoretical MechanicsUniversity of ThessalonikiThessalonikiGreece

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