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Escape-equilibrium solutions in the repulsive coulombian isosceles 3-body problem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1416)

Abstract

We consider a qualitative description of the repulsive coulombian plane isosceles 3-body problem, by blowing up the infinity. An especial attention is paid to some remarkable solutions where the symmetrical particles escape, while the third one tends to an equilibrium position close to the center of mass of the others. However, these solutions are very sensitive to changes in the initial conditions. Analytical prolongation permits to extend our description to the corresponding celestial mechanics problem, obtained by changing sign to the potential.

Keywords

  • Equilibrium Point
  • Invariant Submanifolds
  • Especial Attention
  • Transcendental Singularity
  • Classical Mechanical System

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.

Member of CIFMA (Mexico). Sabbatical Fellowship from the CAICYT (Spain) at the University of Barcelona during the year 1987–88.

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References

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© 1990 Springer-Verlag

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Lacomba, E.A., Peredo, F. (1990). Escape-equilibrium solutions in the repulsive coulombian isosceles 3-body problem. In: Albert, C. (eds) Géométrie Symplectique et Mécanique. Lecture Notes in Mathematics, vol 1416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097471

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  • DOI: https://doi.org/10.1007/BFb0097471

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52191-4

  • Online ISBN: 978-3-540-46920-9

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