Article
On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies
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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.
Keywords
Restricted three–body problem, Triaxial rigid body, Euler angles, 70F07, 70F10, 70F15
Citation
Pathak, N. & Elshaboury, S. M. (2017). On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies. Applied Mathematics and Nonlinear Sciences, 2(2), 495–508. https://doi.org/10.21042/AMNS.2017.2.00041
N. Pathak and S. M. Elshaboury, “On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies,” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, pp. 495–508, 2017, doi: 10.21042/AMNS.2017.2.00041.
Pathak N, Elshaboury SM. On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies. Applied Mathematics and Nonlinear Sciences. 2017;2(2):495–508. doi:10.21042/AMNS.2017.2.00041.
Pathak, N. and Elshaboury, S. M. (2017), ‘On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies’, Applied Mathematics and Nonlinear Sciences, 2(2), pp. 495–508. Available at: https://doi.org/10.21042/AMNS.2017.2.00041.
Pathak, Niraj, and S. M. Elshaboury. “On the Triangular Points Within Frame of the Restricted Three–body Problem When Both Primaries Are Triaxial Rigid Bodies.” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, 2017, pp. 495–508. https://doi.org/10.21042/AMNS.2017.2.00041.
Pathak, Niraj, and S. M. Elshaboury. “On the Triangular Points Within Frame of the Restricted Three–body Problem When Both Primaries Are Triaxial Rigid Bodies.” Applied Mathematics and Nonlinear Sciences 2, no. 2 (2017): 495–508. https://doi.org/10.21042/AMNS.2017.2.00041.
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Published by: Engineering Journals
