On the triangular points within frame of the restricted three–body problem when both primaries are triaxial rigid bodies-Reference-Cited by-同舟云学术

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

Published:2017-07-01 Issue:2 Volume:2 Page:495-508
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Pathak Niraj¹,Elshaboury S. M.²

Affiliation:

1. Department of Mathematics, Faculty of Technology , Dharmsinh Desai University , Nadiad , Gujarat , India

2. Department of Mathematics, Faculty of Science , Ain Shams University , Cairo , Egypt

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2017.2.00041

Reference23 articles.

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3. Abouelmagd E. I., (2013), The effect of photogravitational force and oblateness in the perturbed Restricted three body problem. Astrophysics and Space Science, 346(1), 51–69. 10.1007/s10509-013-1439-9

4. Abouelmagd E. I. and Sharaf M. A., (2013), The motion around the libration points in the restricted three–body problem with the effect of radiation and oblateness. Astrophysics and Space Science, 344(2), 321–332. doi 10.1007/s10509-012-1335-810.1007/s10509-012-1335-8

5. Abouelmagd E. I., (2013), Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problem. Earth, Moon, and Planets, 110(3-4), 143–155. 10.1007/s11038-013-9415-5

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