查询词典 three body problem

In chapter 3, we analyzed the motion near the collinear libration points in the model of circular restricted three body problem.

前者是稳定秤动点，对定位和轨控都比较有利，而后者是不稳定的，但可以是条件稳定的，其定位条件不同于L〓或L〓处。

It was created by Henri Poincare when he studied the three-body problem in the late nineteenth century.

它是由庞加莱时，他研究了19世纪后期的三体问题。

Specifically, there are three kinds:(1) constant variation method to track two-body problem the root number of variables to establish perturbed equation;(2) coordinate perturbation method in order to track objects in real position and the location of an intermediate orbit perturbation differential equation as a variable to establish;(3) transformation theory, through a series of canonical transformation to reduce the order of the equations of motion to make it a more simple form.

具体做法有三种：（1）常数变异法，以二体问题轨道根数为变量建立摄动方程；（2）坐标摄动法，以天体在实际轨道上的位置与某一中间轨道上的位置差作为变量建立摄动方程；（3）变换理论，通过一系列正则变换，降低运动方程的阶数，使其具有更简单的形式。

Invariant manifold theory was developed by Henri Poincar頩n the late nineteenth century when he studied the three body problem.

不变流形理论是由庞加莱頩n的19世纪晚期，他研究了三体问题。

In deep-space exploration, for some purpose, the probe is required to be at the libration points of the corresponding restrict three-body problem.

在深空探测中，出于某种探测目的，需将探测器定位在相应的限制性三体问题的秤动点上。

Invariant Manifold: An unstable periodic orbit in a Hamiltonian system (a general class of differential equations which includes the three body problem) have associated two families of orbits forming tubes connected to the periodic orbit.

不变流形：一个不稳定的周期轨道的哈密顿系统（一个微分方程一般类，其中包括三个体问题）有关联的两个形成连接管轨道周期轨道的家庭。

A systematic convergence tests for hyperspherical potential curves, channel functions, are performed to assess the validity and efficiency. The challenging three-body problem with complex channel-coupling is solved efficiently and accurately. Accurate ground-state energy, structure parameters, and rotantion constants for Ar2Kr and Ar3 are obtained and compared to other theoretical values in the literatures.

系统研究了超球势曲线、道函数的特征与收敛性；实现了有复杂多通道耦合时重惰性原子三聚体的精确求解，得到了Ar2Kr和Ar3惰性原子三聚体精确的基态能量、结构参数及转动常数，并与文献结果进行了比较。

I now need to establish three things: there exists some property of the brain that accounts naturalistically for consciousness; we are cognitively closed with respect to that property; but there is no philosophical mind – body problem.

我现在需要论证3个观点：（1）存在一些大脑属性，能够自然地说明意识；（2）我们对于这样的大脑属性认知封闭；但（3）没有哲学上的身心问题。

The mian works are as follows:(1)By coprecipitation technique and coprecipitation- gel technique the nano zirconia powder was produced, factors affecting the properties of nano zirconia powder such as pH and the content of stabilizator are analyzed;(2)By the new pressless sintering process, the nano zirconia ceramic was produced, factors which can affecting the properties of nano zirconia sinter body such as moulding press and the sinter temperature are analyzed;(3)By the microtherm pressless sintering process, the nano copper added functional zirconia ceramic composite was produced, microscopic dimensionality and electric properties of such sinter body and the factors affecting such sinter body are analyzed;(4)By the self-invented "external albumen coating" technique the zirconia powder was successfully coated by carbon in the corresponding sinter body, which can help solve the traditional aggregation problem to some degree;(5)Based on analyze the characteristics in the nano powder sinter process, the "three-ball sinter model" was proposed, for the relationship between the relative density and porosity of sinter body, by mathematical fitting, such model was successfully verified.

本研究比较系统地研究了纳米氧化锆陶瓷的合成与成型机理，特别是讨论了纳米氧化锆陶瓷的稳定性，为防止纳米颗粒在外场作用下的团聚和长大提供了理论基础和实验数据，具体工作有以下几方面：(1)采用共沉淀法和共沉淀-凝胶法制备了纳米氧化锆粉体，并分析了pH值和稳定剂含量对粉体性能的影响；(2)采用新型无压烧结工艺制备了纳米氧化锆陶瓷，并分析了成型压力和烧结温度对烧结体性能的影响；(3)采用低温无压烧结工艺制备出添加纳米铜的功能性纳米氧化锆复合陶瓷，并分析了烧结体的微观尺度和电学性能的变化以及影响因素；(4)通过自创的&鸡蛋清外敷法&在真空镀膜台上对纳米氧化锆粉体进行包敷碳颗粒的表面处理，并采用真空烧结工艺制得相应烧结体，初步开始解决陶瓷烧结过程中团聚长大这一传统难题；(5)通过分析纳米颗粒在制备烧结体过程中的实际特点，提出了&三球烧结数学模型&，通过引入坯体相对密度和孔隙率的相对关系分析并通过自行编写的数学拟合软件，验证了这一数学模型。

In this dissertation the"Penalty"finite element method was employed to compute the velocity of the three-dimensional flow of power-law fluid in a profile die. In order to decrease the needed computer memory and raise the stability of numerical simulation, a set of decoupled methods such as PFEM, pseudo-body force method and transformation of momentum equation to the elliptic equation was developed to establish the general finite element equations to compute the distributions of velocity and viscoelastic stress of the three-dimensional viscoelastic flow of the Phan ThienTanner fluid in a profile die. During numerical simulation of the extrudate swell of the PTT fluid, the flow in the die and out of the die was analyzed separately, which demands less computer memory. The key techniques used in numerical simulation of the three-dimensional extrusion from dies such as decision of boundary conditions, creation of initial velocity field, selection of penalty factor, high Weissenberg number problem , regeneration of the free surface were studied in detail.

中文题名聚合物异型材口模挤出三维流动研究副题名外文题名 Study on three-dimensional flow of polymer melts during the process of profile extrusion from dies 论文作者涂志刚导师柳和生包忠诩教授学科专业材料加工工程研究领域\研究方向学位级别博士学位授予单位南昌大学学位授予日期2001 论文页码总数148页关键词挤出成型聚合物材料挤出口模聚合物异型材馆藏号BSLW /2003 /TQ320 /9 本文建立了求解挤出口模内幂律流体流动速度场的通用三维罚有限元模型；对于非线性粘弹性的Phan Thien-Tanner流体，为了降低模拟计算对计算机硬件的要求，并使模拟计算更加稳定，采用了一种去耦算法，包括罚有限元方法、拟体力方法和动量方程的椭圆类方程转化方法，并建立了求解速度场和粘弹性应力场的总体有限元方程；对于PTT流体的挤出胀大问题，提出了挤出胀大熔体口模内外分离模拟法，这样可以显著降低数值模拟对计算机硬件的要求。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。