Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem | Zendy

Sahar H. Younis | Zendy; M. N. Ismail | Zendy; Ghada F. Mohamdien | Zendy; ahmed ibrahiem | Zendy

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Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem

Author(s) -

Sahar H. Younis,

M. N. Ismail,

Ghada F. Mohamdien,

ahmed ibrahiem

Publication year - 2021

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2021/5842193

Subject(s) - three body problem , lagrangian point , mathematics , equilibrium point , hamiltonian (control theory) , equations of motion , mathematical analysis , rigid body , motion (physics) , lagrangian , radiation pressure , point (geometry) , classical mechanics , physics , geometry , differential equation , mathematical optimization , optics

In this paper, under the effects of the largest primary radiation pressure, the elliptic restricted four-body problem is formulated in Hamiltonian form. Moreover, the canonical equations are obtained which are considered as the equations of motion. The Lagrangian points within the frame of the elliptic restricted four-body problem are obtained. The true anomalies are considered as independent variables. An analytical and numerical approach had been used. A code of Mathematica version 12 is constructed to truncate these considerations and is applied on the Earth-Moon-Sun system. In addition, the stability and periodicity of the motion about the equilibrium points are studied by using the Poincare maps. The motion about the collinear point L2 is presented as an example for the obtained results, and some families of periodic orbits are presented.

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