On the Manev spatial isosceles three-body problem

  • Daniel PaşcaEmail author
  • Cristina Stoica
Original Article


We study the isosceles three-body problem with Manev interaction. Using a McGehee-type technique, we blow up the triple collision singularity into an invariant manifold, called the collision manifold, pasted into the phase space for all energy levels. We find that orbits tending to/ejecting from total collision are present for a large set of angular momenta. We also discover that as the angular momentum is increased, the collision manifold changes its topology.


Spatial isosceles three-body problem Manev interaction Topology of the collision manifold Near-total collision flow 



CS was supported by an NSERC Discovery Grant.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics and InformaticsUniversity of OradeaOradeaRomania
  2. 2.Department of MathematicsWilfrid Laurier UniversityWaterlooCanada

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