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In this paper, we study the existence of libration points and their linear stability when the three participating bodies are axisymmetric and the primaries are radiating, we found that the collinear points remain unstable, it is further seen that the triangular points are stable for 0<μ<μ c , and unstable for where , it is also observed that for these points the range of stability will decrease. In addition to this we have studied periodic orbits around these points in the range 0<μ<μ c , we found that these orbits are elliptical; the frequencies of long and short orbits of the periodic motion are affected by the terms which involve parameters that characterize the oblateness and radiation repulsive forces. The implication is that the period of long periodic orbits adjusts with the change in its frequency while the period of short periodic orbit will decrease. 相似文献
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Structural Controls on Groundwater Flow in Basement Terrains: Geophysical,Remote Sensing,and Field Investigations in Sinai 总被引：2，自引：0，他引：2
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The effect of photogravitational force and oblateness in the perturbed restricted three-body problem
Elbaz I. Abouelmagd 《Astrophysics and Space Science》2013,346(1):51-69
The model of restricted three-body is generalized to include the effects of the oblateness, the radiation pressure and fictitious forces. The positions of libration points, their stability, the critical mass ratio and periodic orbits emanating from these points are analyzed under the influence of these effects. The results obtained are more generalized. In addition the locations of the out of plane equilibrium points are studied. We also observe that there is no explicit effect for the perturbation of Coriolis force on the positions of the out of plane equilibrium points. It is worth mentioning that this model can be degraded into 128 special cases. 相似文献
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Abouelmagd Elbaz I. Selim H. H. Minglibayev M. Zh. Kushekbay A. K. 《Astronomy Reports》2021,65(11):1170-1178
Astronomy Reports - In this work, we have revealed a new model emerged from the restricted three-body problem within a framework of a non-isotropic variation of mass. This variation is taken when... 相似文献
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Abdou Abouelmagd Mohamed Sultan Neil C. Sturchio Farouk Soliman Mohamed Rashed Mohamed Ahmed Alan E. Kehew Adam Milewski Kyle Chouinard 《Quaternary Research》2014
Sixteen groundwater samples collected from production wells tapping Lower Cretaceous Nubian Sandstone and fractured basement aquifers in Sinai were analyzed for their stable isotopic compositions, dissolved noble gas concentrations (recharge temperatures), tritium activities, and 14C abundances. Results define two groups of samples: Group I has older ages, lower recharge temperatures, and depleted isotopic compositions (adjusted 14C model age: 24,000–31,000 yr BP; δ18O: − 9.59‰ to − 6.53‰; δ2H: − 72.9‰ to − 42.9‰; < 1 TU; and recharge T: 17.5–22.0°C) compared to Group II (adjusted 14C model age: 700–4700 yr BP; δ18O: − 5.89‰ to − 4.84‰; δ2H: − 34.5‰ to − 24.1‰; < 1 to 2.78 TU; and recharge T: 20.6–26.2°C). Group II samples have isotopic compositions similar to those of average modern rainfall, with larger d-excess values than Group I waters, and locally measurable tritium activity (up to 2.8 TU). These observations are consistent with (1) the Nubian Aquifer being largely recharged prior to and/or during the Last Glacial Maximum (represented by Group I), possibly through the intensification of paleowesterlies; and (2) continued sporadic recharge during the relatively dry and warmer interglacial period (represented by Group II) under conditions similar to those of the present. 相似文献
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Elbaz I. Abouelmagd 《Astrophysics and Space Science》2012,342(1):45-53
In this paper, we prove that the locations of the triangular points and their linear stability are affected by the oblateness of the more massive primary in the planar circular restricted three-body problem, considering the effect of oblateness for J 2 and J 4. After that, we show that the triangular points are stable for 0<μ<μ c and unstable when , where μ c is the critical mass parameter which depends on the coefficients of oblateness. On the other hand, we produce some numerical values for the positions of the triangular points, μ and μ c using planets systems in our solar system which emphasis that the range of stability will decrease; however this range sometimes is not affected by the existence of J 4 for some planets systems as in Earth–Moon, Saturn–Phoebe and Uranus–Caliban systems. 相似文献
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Astronomy Reports - The aim of this work is to investigate the motion properties of the infinitesimal body in the frame of the fifth-degree generalized Hénon–Heiles (GHH) potential. We... 相似文献
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Astronomy Reports - In this work, we aim to develop a non-linear multivariate regression model, which predicts the initial condition for periodic orbits of deputy satellite. The used parameters in... 相似文献
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Reduction the secular solution to periodic solution in the generalized restricted three-body problem
Elbaz I. Abouelmagd M. E. Awad E. M. A. Elzayat Ibrahim A. Abbas 《Astrophysics and Space Science》2014,350(2):495-505
The aim of the present work is to find the secular solution around the triangular equilibrium points and reduce it to the periodic solution in the frame work of the generalized restricted thee-body problem. This model is generalized in sense that both the primaries are oblate and radiating as well as the gravitational potential from a belt. We show that the linearized equation of motion of the infinitesimal body around the triangular equilibrium points has a secular solution when the value of mass ratio equals the critical mass value. Moreover, we reduce this solution to periodic solution, as well as some numerical and graphical investigations for the effects of the perturbed forces are introduced. This model can be used to examine the existence of a dust particle near the triangular points of an oblate and radiating binary stars system surrounded by a belt. 相似文献