<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the framework of the restricted three–body problem when both primaries are triaxial rigid bodies, for different cases of Euler’s angles, the locations of the triangular points, and the stability conditions of motion in the proximity of these points are constructed. The numerical solution is obtained by using a fourth order Runge–Kutta–Gill integrator with some graphical investigations.</p></abstract>

In the framework of the restricted three–body problem when both primaries are triaxial rigid bodies, for different cases of Euler’s angles, the locations of the triangular points, and the stability conditions of motion in the proximity of these points are constructed. The numerical solution is obtained by using a fourth order Runge–Kutta–Gill integrator with some graphical investigations.

On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In the framework of the restricted three–body problem when both primaries are triaxial rigid bodies, for different cases of Euler’s angles, the locations of...

On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies

Publié en ligne: 30 nov. 2017

Pages: 495 - 508

Reçu: 09 mars 2017

Accepté: 30 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00041

Mots clés
Restricted three–body problem, Triaxial rigid body, Euler angles

© 2017 Niraj Pathak, S. M. Elshaboury, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies

Publié en ligne: 30 nov. 2017

Pages: 495 - 508

Reçu: 09 mars 2017

Accepté: 30 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00041

Mots clésRestricted three–body problem, Triaxial rigid body, Euler angles

© 2017 Niraj Pathak, S. M. Elshaboury, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Mots clés
Restricted three–body problem, Triaxial rigid body, Euler angles