A global grid search technique is implemented for obtaining the horseshoe orbits in perturbed restricted three body problem under the influence of radiation pressure and albedo.
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Numerical computations of 2D and 3D axi-symmetric horseshoe periodic orbits about Lagrangian points with perturbations are discussed.
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Various forms 2D and 3D axi-symmetric horseshoe periodic orbits and their corresponding families are presented under the influence of radiation pressure and albedo.
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Stability analysis of 2D and 3D axi-symmetric horseshoe periodic orbits in the presence of radiation pressure and albedo are performed.
Abstract
This paper presents the numerical exploration of planar as well as spatial periodic horseshoe orbits about Lagrangian points in the framework of restricted three-body problem with radiation pressure and albedo as perturbations. The global grid search technique for obtaining both types of periodic horseshoe orbits is described. Further, several families of horseshoe orbits are obtained and then the orbital behaviour of each periodic orbit is investigated. By global grid search method, spatial axi-symmetric horseshoe orbits and their families are obtained via pseudo-arclength continuation. Interestingly, new forms of spatial horseshoe orbits are constructed and their orbital properties are analysed. Moreover, it is found that stable horseshoe orbits exists for different range of in planar as well as in spatial case. Using parameter continuation, the effect of radiation pressure and albedo are discussed for the evolution of horseshoe orbits and found that the radiation pressure affects the shape of horseshoe orbits more then that of albedo. These results are helpful to analyse more generalized problem with other perturbations.
