The collinear equilibrium points in the restricted three body problem with triaxial primaries-Reference-Cited by-同舟云学术

The collinear equilibrium points in the restricted three body problem with triaxial primaries

Published:2018-09-06 Issue:1 Volume:16 Page:525-538
ISSN:2391-5471
Container-title:Open Physics
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Author:

Alamri Sultan Z.¹,Abd El-Bar Sobhy E.²³,Seadawy Aly R.¹⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

4. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Abstract

AbstractThe perturbed restricted three body problem has been reviewed. The mass of the primaries are assumed as triaxial. The locations of the collinear points have been computed. Series forms of these locations are obtained as new analytical results. In order to introduce a semi-analytical view, a Mathematica program has been constructed to graph the locations of collinear points versus the whole range of the mass ratio μ taking into account the triaxiality. The resultant figures have been analyzed

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2018-0069/pdf

Reference76 articles.

1. A new integral transform operator for solving the heat-diffusion problem;Appl. Math. Lett.,2017

2. Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem;Astrophys. Space Sci.,2011

3. Analytical and Semianalytical Treatment of the Collinear Pointsin the Photogravitational Relativistic RTBP;Math. Problems Engineering,2013

4. Nonlinear Dispersive Rayleigh-Taylor Instabilities in Magnetohydrodynamic Flows;Phys Scrip.,2001

5. Computation of the Liapunov orbits in the photogravitational RTBP with oblateness;Astrophys. Space Sci.,2006

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