Effect of oblateness on transition curves in elliptic restricted three-body problem

机译：扁度对椭圆约束三体问题过渡曲线的影响

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A study of equilibrium points of the elliptic restricted three-body problem (ER3BP) is made, when the oblate primaries of masses m1 (larger) and m2 are moving in elliptic orbits with eccentriciy e and mean motion n with their equatorial planes coincident with the plane of motion. A1 and A2 are oblateness coefficients of the primaries. The positions of the collinear and triangular equilibrium points in the rotating-pulsating frame are computed. The linear stability of the equilateral points within the region of μ-e plane, where μ = m2 /(m1+m2), is investigated by generating a transition curve which separates the stable region from the unstable region. It is observed that the oblateness of the primaries reduces the region of stability.

机译：研究当质量为m1（较大）和m2的扁原形在偏心e为椭圆运动且平均运动n与赤道面重合的椭圆轨道上运动时的椭圆约束三体问题（ER3BP）的平衡点。运动平面。 A1和A2是原色的扁率系数。计算出旋转脉动框架中共线和三角形平衡点的位置。通过生成将稳定区域与不稳定区域分开的过渡曲线，研究了μ-e平面区域内等边点的线性稳定性，其中μ= m2 /（m1 + m2）。观察到，原色的扁圆形减小了稳定区域。

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来源
《2017 First International Conference on Recent Advances in Aerospace Engineering》|2017年|1-6|共6页
会议地点 Coimbatore(IN)
作者
Hebzibha Isravel; Ram Krishan Sharma;
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作者单位

Department of Aerospace Engineering, Karunya University, Coimbatore, India;

Department of Aerospace Engineering, Karunya University, Coimbatore, India;

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会议组织
原文格式 PDF
正文语种 eng
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关键词
Stability analysis; Aerospace engineering; Orbits; Thermal stability; Numerical stability; Space vehicles; Kinetic energy;

机译：稳定性分析;航空航天工程;轨道;热稳定性;数值稳定性;航天器;运动能;;

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专利

1. Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries [J] . A. Narayan, A. Chakraborty, A. Dewangan Advances in Astronomy . 2019,第2期

机译：椭圆形辐射初值影响的椭圆间限制三体问题的非线性稳定性
2. Locations of Lagrangian points and periodic orbits around triangular points in the photo gravitational elliptic restricted three-body problem with oblateness [J] . Ancy Johnson, Ram Krishan Sharma International Journal of Advanced Astronomy . 2019,第2期

机译：光引力椭圆约束三体扁圆问题中拉格朗日点的位置和三角形点周围的周期轨道
3. Motion around the out-of-plane equilibrium points in the photogravitational Copenhagen elliptic restricted three-body problem with oblateness [J] . Aguda Ekele Vincent International Journal of Space Science and Engineering . 2019,第3期

机译：在光引力哥本哈根椭圆形约束三体问题中扁圆的平面外平衡点附近的运动
4. Effect of oblateness on transition curves in elliptic restricted three-body problem [C] . Hebzibha Isravel, Ram Krishan Sharma International Conference on Recent Advances in Aerospace Engineering . 2017

机译：尺寸对椭圆限制三体问题转变曲线的影响
5. Libration point orbits near small bodies in the elliptic restricted three-body problem. [D] . Mahajan, Bharat. 2013

机译：椭圆约束三体问题中小点附近的连接点轨道。
6. Colloquium Paper: Parametrizations of elliptic curves by Shimura curves and by classical modular curves [O] . Kenneth A. Ribet, Shuzo Takahashi 1997

机译：座谈会论文：Shimura曲线和by的椭圆曲线参数化经典模曲线
7. Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries [O] . A. Narayan, A. Chakraborty, A. Dewangan 2019

机译：椭圆形辐射初值影响的椭圆间限制三体问题的非线性稳定性

Effect of oblateness on transition curves in elliptic restricted three-body problem

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