Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary a-Centuari System: The Planar Case

Jagadish Singh; Jessica Mrumun Gyegwe

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Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary a-Centuari System: The Planar Case

机译：二元a-CENTUARI系统的共线平衡点附近Lyapunov轨道的解析逼近解：平面情况

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A third order analytic approximation solution of Lyapunov orbits around the collinear equilibrium in the planar restricted three-body problem by utilizing the Lindstedt Poincaré method is presented. The primaries are oblate bodies and sources of radiation pressure. The theory has been applied to the binary α -Centuari system in six cases. Also, we have determined numerically the positions of the collinear equilibrium points and shown the effects of the parameters concerned with these equilibrium points.

机译：利用LindstedtPoincaré方法，给出了平面约束三体问题中共线平衡附近的Lyapunov轨道的三阶解析逼近解。原基是扁圆形的物体和辐射压力的来源。该理论已应用于六种情况下的二元α-CENTUARI系统。同样，我们已经从数值上确定了共线平衡点的位置，并显示了与这些平衡点有关的参数的影响。

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《British Journal of Mathematics & Computer Science》 |2017年第1期|共18页
作者
Jagadish Singh; Jessica Mrumun Gyegwe;
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中图分类数学;
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Approximate solutionsperiodic orbitRTBP.;

机译：近似解周期轨道RTBP。;

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专利

1. Periodic orbits around the collinear equilibrium points for binary Sirius, Procyon, Luhman 16, α-Centuari and Luyten 726-8 systems: the spatial case [J] . Jagadish Singh, A E Perdiou, Jessica Mrumun Gyegwe, Journal of Physics Communications . 2017,第2期

机译：二元Sirius，Procyon，Luhman 16，α-Centuari和Luyten 726-8系统的共线平衡点周围的周期轨道：空间情况
2. The use of vertical instability of L1 and L2 planar Lyapunov orbits for transfers from near rectilinear halo orbits to planar distant retrograde orbits in the Earth-Moon system [J] . Oshima Kenta Celestial Mechanics and Dynamical Astronomy: An international journal of space dynamics . 2019,第3期

机译：使用L1和L2平面Lyapunov轨道的垂直不稳定性用于从近直线卤素轨道转移到地球系统中的平面遥远的逆行轨道
3. Periodic solutions around the collinear equilibrium points in the perturbed restricted three-body problem with triaxial and radiating primaries for binary HD 191408, Kruger 60 and HD 155876 systems [J] . Singh Jagadish, Perdiou A. E., Gyegwe Jessica Mrumun, Applied mathematics and computation . 2018,第期

机译：对于二进制HD 191408，克鲁格60和HD 155876系统的三轴和辐射初值，扰动限制的三体问题周围的周围的周边溶液。
4. Third-order Analytical Solutions around Non-collinear Equilibrium Points of a Contact Binary Asteroid [C] . Jinglang Feng, Ron Noomen, Jianping Yuan, AIAA/AAS astrodynamics specialist conference . 2014

机译：接触二元小行星非共线平衡点的三阶解析解
5. Asymptotic accuracy of the equilibrium diffusion approximation and semi-analytic solutions of radiating shocks [D] . Ferguson, Jim Michael 2014

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6. Analytical steady-state solution to the rapid buffering approximation near an open Ca2+ channel. [O] . G D Smith 1996

机译：开放Ca2 +通道附近快速缓冲近似的解析稳态解。
7. Periodic orbits around the collinear equilibrium points for binary Sirius, Procyon, Luhman 16,α-Centuari and Luyten 726-8 systems: the spatial case [O] . Jagadish Singh, A E Perdiou, Jessica Mrumun Gyegwe, 2017

机译：围绕二元天狼星，Procyon，Luhman 16，α-Centuari和Luyten 726-8系统的周围的周期性轨道：空间壳体
8. Tandem Queueing Systems Subject to Blocking With Phase Type Servers: Analytical Solutions and Approximations. [R] . Guen, L. 1986

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Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary a-Centuari System: The Planar Case

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