三体问题

如今在研究黑洞双星如何与单个黑洞相互作用，以及宇宙中最基本的一些物体如何相互作用的问题上，三体问题是其中的重要组成部分。

Today the three-body problem is an important part of figuring out how black hole binaries might interact with single black holes , and from there how some of the most fundamental objects of the Universe interact with each other .

三体问题是物理学中最复杂的计算题之一，但它在人工智能领域可能遇到了对手：一种新型神经网络有望以比现有技术快1亿倍的速度找出其解决方案。

The three-body problem , one of the most notoriously complex calculations in physics , may have met its match in artificial intelligence : a new neural network promises to find solutions up to 100 million times faster than existing techniques .

一般三体问题在不变平面上的Hill零速度线

Hill curves in the unchanging plane of the general three-body problem

摄动势对平面三体问题Lagrange解的影响

Effect of perturbing potentials on the solutions of Lagrange in the planar 3-body problem

受摄限制性三体问题平动点线性稳定性的判断条件及在Robe问题的应用

A Criterion for The Linear Stability of Eguilibrium Points in the Perturbed Restricted Three-Body Problem and Applications in Robe Problem

Easton文中更初等和直观的方法，研究一般三体问题流形M8的拓扑结构，独立地得到了下面结果。

Easton The following results are independently obtained .

该团队开发了一种深度人工神经网络（ANN），它以现有的三体问题数据库和研究人员选出的精心制定的解决方案来进行训练。

The team developed a deep artificial neural network ( ANN ) , trained on a database of existing three-body problems , plus a selection of solutions that have already been painstakingly worked out .

关于平面圆型限制性三体问题的LCN的计算

On the computation of LCNs of the planar restricted 3-body problem

用这些判断条件，讨论了一些阻力对经典限制性三体问题三角平动点线性稳定性的影响，改进了Murray等的一些结果。

By these judging conditions , the effects on the linear stabilities of the triangular libration points in the classic restricted three-body problem with drag are discussed . Some Murray 's results are improved .

圆型限制性三体问题（CRTBP）共线平动点附近存在着大量的周期轨道族。

There are plenty of families of periodic orbits surrounding the collinear libration points in Circular Restricted Three-body Problem ( CRTBP ) model .

证明了在短时间重构时，三体问题中存在着与Hohmann变轨类似的结论：始末脉冲法是双变轨法中能量最优的重构方法。

Assuming that the reconfiguration time is short , the analysis shows that the beginning-ending impulse method , which is very similar to Hohmann transfer , is the energy-optimal method of all two-impulse methods .

用所得到的条件，讨论了任意外力摄动对经典圆型限制性三体问题三角平动点稳定性的影响和惯性阻力摄动对Robe圆型限制性三体问题主要平动点的稳定性的影响。

The effect of an arbitrary external force perturbation upon the stability of equilibrium points in the circular classic restricted three-body problem and the effect of an inertial drag perturbation upon the stabilities of the main equilibrium points in the Robe circular restricted three-body problem are studied by these conditions .

牛顿n-体问题是一个古老而复杂的问题，即便是平面三体问题至今也没有得到完全解。

Newtonian n-body problem is an old , complicated problem .

超球谐函数方法及其在核三体问题中的应用

Hyperspherical harmonic method and its application to three body problem

圆型限制性三体问题中双恒星系统的存在性

Existence of double star system in circular restricted three-body problem

受谐相互作用的三维三体问题的精确解

Exact Solution for Three-Dimensional Three-Object Problem with Harmonic Interactions

变质量三体问题

On three - body problems with variable mass

辛算法在限制性三体问题数值研究中的应用

Applications of symplectic algorithms to the numerical researches of restricted three - body problem

高职思想政治教育工作中的三体问题

" Three Manifest Questions " in Ideological and Political Education Among Higher Professional Technical Education

一般三体问题中轨道形状和位置的变化

The ranges of change of the configurations and positions of orbits in general three-body problem

本文研究了考虑摄动影响的三体问题的动力学性质及其轨道设计。

The dynamic characters and orbit design strategy of the perturbed three-body problem model was studied .

用推广的等效两体方法求解类氦离子三体问题

Equivalent Two-body Method for Helium-like Ions

一般三体问题中轨道的近点方向及形状的变化

The changes of the argument of periastron and configurations of the orbit in general three-body problem

基于圆型限制性三体问题模型的行星卫星逃逸能量研究

Model . Experimental Investigation on Resistance of Trimaran Study on Escaping Energy in Circular Restricted Three-body Problem

平面圆型限制性三体问题

Plane circular restricted three-body problem

对现有的具有变质量的限制性三体问题运动方程予以修正的证明

The evidence of correction to the existent motive equations with variable mass in restricted three body problem

考虑环影响的平面圆型限制性三体问题的可能运动区域

The Region of Possible Motion of the Planar Circular Restricted Three-Body Problem under the Influence of a Ring

研究了基于三体问题的不变流形设计低成本登月轨道的问题。

The low-energy lunar landing trajectory design using the invariant manifolds of restricted three body problem is studied .

有摄圆型限制性三体问题平动点稳定的充要条件及应用

Sufficient and Necessary Conditions for the Stability of Equilibrium Points in the Perturbed Circular Restricted Three-Body Problem and Applications

利用线性变换来改进空间圆型限制性三体问题的摄动函数展开式的收敛性

Improvement of the convergence of the development of perturbative function in the case of the space circular restrictive problem of three bodies