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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 8, Issue 2


Complex force fields and complex orbits

G. Contopoulos
  • Corresponding author
  • Center for Astronomy, Academy of Athens, Anagnostopoulou 14, 106 73 Athens, Greece
  • Other articles by this author:
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/ G. Bozis
Published Online: 2013-09-07 | DOI: https://doi.org/10.1515/jiip.2000.8.2.147


- Dainelli’s formulae, that offer the real two-dimensional autonomous force fields giving rise to a preassigned family of real orbits f(x, y) = c, are allowed to provide complex (autonomous and nonautonomous) forces producing both real and complex families of orbits. Numerical and analytical examples reveal that complex motion is taking place, in real time, on the given family. The transition from real to complex and sometimes back to real motion is described.

Complex potentials generating a given family of orbits are also derived by inverse problem considerations.

About the article

Published Online: 2013-09-07

Published in Print: 2000-05-01

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 8, Issue 2, Pages 147–160, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2000.8.2.147.

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Inverse Problems, 2005, Volume 21, Number 2, Page 487

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