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On the perturbed restricted three-body problem

On the perturbed restricted three-body problem AbstractIn this survey paper we offer an analytical study regarding the perturbed planar restricted three-body problem in the case that the three involved bodies are oblate. The existence of libration points and their linear stability are explored under the effects of the perturbations in Coriolis and centrifugal forces. The periodic orbits around these points are also studied under these effects. Moreover, the elements of periodic orbits around these points are determined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Nonlinear Sciences de Gruyter

On the perturbed restricted three-body problem

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Publisher
de Gruyter
Copyright
© 2016 Elbaz I. Abouelmagd, Juan L.G. Guirao, published by Sciendo
eISSN
2444-8656
DOI
10.21042/AMNS.2016.1.00010
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this survey paper we offer an analytical study regarding the perturbed planar restricted three-body problem in the case that the three involved bodies are oblate. The existence of libration points and their linear stability are explored under the effects of the perturbations in Coriolis and centrifugal forces. The periodic orbits around these points are also studied under these effects. Moreover, the elements of periodic orbits around these points are determined.

Journal

Applied Mathematics and Nonlinear Sciences – de Gruyter

Published: Jan 28, 2016

References

  • Existence of libration Points in the restricted three body problem when both primaries are triaxial rigid bodies Pure
    Sharma
  • Existence and stability of triangular points in the restricted three - body problem with numer - ical applications Space
    Abouelmagd
  • Numerical integration of the restricted thee - body problem with Lie series Space
    Abouelmagd
  • Location of equilibrium points in the perturbed photogravitational circular restricted problem of three bodies Astr Soc India On the equilibrium solution in the circular planar restricted three rigid bodies problem
    Devi
  • Solar system dynamics Cambridge University Press A case of commensurability induced by oblateness
    Murray
  • Existence and stability of libration points in the restricted three body problem when the smaller primary is a triaxial rigid body and the bigger one an oblate spheroid Pure
    Khanna
  • The equilibrium solutions of restricted problem of three axisymmetric rigid bodies Moon and
    El
  • The effect of photogravitational force and oblateness in the perturbed restricted three - body problem Space
    Abouelmagd
  • Eulerian libration points of restricted problem of three oblate spheroids Earth and
    El
  • Non - linear stability zones around triangular equilibria in the plane circular restricted three - body problem with oblateness Space
    Markellos
  • Periodic orbits generated by Lagrangian solution of the restricted three body problem when one of the primaries is an oblate body Space
    Mittal
  • The effect of oblateness in the perturbed restricted three - body problem
    Abouelmagd
  • The motion around the libration points in the restricted three - body problem with the effect of radiation and oblateness Space
    Abouelmagd
  • Effect of perturbed potentials on the stability of libration points in the restricted problem
    Bhatnagar
  • Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies Space
    Abouelmagd
  • Stability of the triangular points under combined effects of radiation and oblateness in the restricted three - body problem Moon and
    Abouelmagd
  • El Tantawy The Libration points of axisym - metric satellite in the gravitational field of two triaxial rigid body Earth and
    El