Highlights Equations of motion of the restricted thee-body problem are constructed under the effect of zonal harmonic parameters. Positions of the libration points are found under the effect of zonal harmonic parameters. Stability of the libration points are studied under the effect of zonal harmonic parameters. Periodic orbits around libration points are found under effect of zonal harmonic parameters.
Abstract The objective of this paper is to present a comprehensive analytical study on the existence of the libration points and their linear stability in the frame of the restricted three-body problem considering the effect of the first two even zonal harmonics parameters with respect to both primaries. Moreover, the periodic orbits around the libration points, the expressions for semi-major and semi-minor axes, the eccentricities and the periods of elliptical orbits as well as the orientation of the principal axes are stated. In addition, we support our study with some numerical and graphical experiments.
The effect of zonal harmonic coefficients in the framework of the restricted three-body problem
Advances in Space Research ; 55 , 6 ; 1660-1672
2014-12-24
13 pages
Article (Journal)
Electronic Resource
English
The effect of zonal harmonic coefficients in the framework of the restricted three-body problem
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