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On the libration collinear points in the restricted three – body problem

On the libration collinear points in the restricted three – body problem AbstractIn the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated. In addition, the Linear stability of these points is studied for the case of the Euler angles of rotational motion being θi = 0, ψi + φi = π/2, i = 1, 2 accordingly. We underline that the model studied in this paper has special importance in space dynamics when the third body moves in gravitational fields of planetary systems and particularly in a Jupiter model or a problem including an irregular asteroid. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Physics de Gruyter

On the libration collinear points in the restricted three – body problem

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Publisher
de Gruyter
Copyright
© 2017 F. Alzahrani et al.
ISSN
2391-5471
eISSN
2391-5471
DOI
10.1515/phys-2017-0007
Publisher site
See Article on Publisher Site

Abstract

AbstractIn the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated. In addition, the Linear stability of these points is studied for the case of the Euler angles of rotational motion being θi = 0, ψi + φi = π/2, i = 1, 2 accordingly. We underline that the model studied in this paper has special importance in space dynamics when the third body moves in gravitational fields of planetary systems and particularly in a Jupiter model or a problem including an irregular asteroid.

Journal

Open Physics – de Gruyter

Published: Mar 15, 2017

References

  • On the perturbed restricted three-body problem
  • The effect of photogravitational force and oblateness in the perturbed restricted three-body problem
  • On the periodic structure in the planar photogravitational Hill problem
  • The linear stability of libration points of the photogravitational restricted three-body problem when the smaller primary is an oblate spheroid
  • Periodic and secular solutions in the restricted three body problem under the effect of zonal harmonic parameters
  • Stability of triangular equilibrium points in the elliptic restricted problem of three bodies with radiating and triaxial primaries