three-body problem

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.

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。

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

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。

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Plane circular restricted three-body problem

平面圆型限制性三体问题

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

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。

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

考虑环影响的平面圆型限制性三体问题的可能运动区域

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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.

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。

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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.

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。

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

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The award is for "The Three-Body Problem," which was published in English last year by Tor Books and is the first volume of a trilogy that has been a major best seller in China.

刘慈欣本次获奖的作品是《三体》三部曲中的第一部，其英译本去年由托尔图书出版社（Tor Books）出版。

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First formulated by Sir Isaac Newton, the three-body problem involves calculating the movement of three gravitationally interacting bodies-such as the Earth, the Moon, and the Sun, for example-given their initial positions and velocities.

三体问题是由艾萨克·牛顿爵士最先提出的，它指的是已知三个物体最初的位置和速度，计算它们在相互之间万有引力作用下的运动规律，例如地球、月球和太阳。

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The formulas ( 10) and ( 11) in this paper can be used to discuss the region of motion of the general three-body problem and their concrete results will be discussed in another article.

文中公式（10）、（11）也可用来讨论一般三体问题的运动区域，具体结果将在另文论述。

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A film project based on Liu's best-known work, the trilogy that began with "The Three-Body Problem," was optioned and even filmed in 2015 but has since languished in postproduction, reportedly because of technical challenges and costs.

将刘慈欣最著名的三部曲《三体》改编为电影的计划于2015年被选中，甚至进行了拍摄，但是据报道，由于技术上的挑战和成本问题，后期制作一直处于停滞状态。

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

一般三体问题中轨道形状和位置的变化

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

一般三体问题在不变平面上的Hill零速度线

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

有摄圆型限制性三体问题平动点稳定的充要条件及应用

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

一般三体问题中轨道的近点方向及形状的变化

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Finally, the two level differential corrections method was proposed to transform the orbit designed under the circular restricted three-body problem model into the perturbed three-body problem model.

最后使用两层微分修正方法将圆型限制性三体问题模型下设计的轨道转换到受摄三体问题模型下。

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Through the analysis of satellite under restrictive three-body problem that considered the gravity of the earth and the moon, differential equations of the system are established.

本文通过分析卫星在地球和月球引力下的限制性三体问题，建立了系统的微分方程。

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The effects of solar gravity perturbation are evaluated as a crucial error of all, which based on the Earth-Sun restricted three-body problem and the Sun-Earth-Moon four-body gravitational model.

主要研究了太阳引力摄动的影响，并基于地-日限制性三体问题和地-日-月四体引力模型分别对太阳引力摄动影响进行了仿真。

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In the book, scientists attempt to solve the traditional three-body problem in physics, in which the otherwise stable gravitational interaction between two objects in space becomes random and unpredictable when a third object is introduced.

在这本书里，科学家试图揭开物理学中传统的三体问题：在宇宙空间中，如果引入第三个物体，两个物体之间稳定的引力作用会变为随机而不可预测。

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Some judging conditions for the linear stability of the libration points in the perturbed restricted three-body problem are given. These conditions only depend on the coefficients of the characteristics equations of their tangent maps and are applied expediently.

给出了受摄限制性三体问题平动点线性稳定性的一些判断条件，条件只与相应的平动点切映像的特征方程系数有关，使用方便。

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Estimation on the periods and characteristic exponents of the periodic orbits in the vicinity of the equilibrium points in the restricted three-body problem

关于三体问题平衡点附近周期轨道的周期及特征指数的估计

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Building Model Using System Identification for Certain Micro Air Vehicle Research on Gravity-Assist Mechanism in Circular Restricted Three-body Problem

某型微型飞行器验证样机辨识建模研究基于圆型限制性三体模型的借力飞行机理研究

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Since the circular restricted three-body problem model ignores the effect of perturbations, it can not accurately describe the dynamic characters of the three-body system.

圆型限制性三体问题模型忽略了摄动因素的影响，在很多情况下不能足够准确地描述三体系统的动力学性质。

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In 2015, The Three-Body Problem, the first novel in the series, made him the first Asian to take home the prize.

早在2015年，该系列的第一部小说《三体》就让他成为了第一个捧得雨果奖的亚洲人。

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They include Liu Cixin, who last year became the first Asian author to win the Hugo Award for Best Novel for his book The Three-Body Problem, and David Brin, an award-winning author from the United States.

他们包括去年凭借《三体》赢得雨果奖最佳小说的亚洲第一人刘慈欣，以及来自美国的、屡次获奖的作家大卫·布林。

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

圆型限制性三体问题中双恒星系统的存在性

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Model. Experimental Investigation on Resistance of Trimaran Study on Escaping Energy in Circular Restricted 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

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Netflix just announced its plans to turn Cixin Liu's "The Three-Body Problem" trilogy into an original, English-language science fiction series.

网飞公司宣布，计划将刘慈欣的《三体》三部曲改编成一部原创的英文科幻电视剧。

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Research on Gravity-Assist Mechanism in Circular Restricted Three-body Problem

基于圆型限制性三体模型的借力飞行机理研究

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