查询词典 equation of motion

The quaternion calculation for spacecraft attitude determination is investigated in this paper,including the transformation between quaternion and the direction cosine matrix,the quaternion differential equation,the selection of time steps for integrating the quaternion equation,and the compensation methods for the noncommutativity error in high dynamic motion.

介绍了四元数计算中的相关问题，包括四元数与方向余弦阵之间的转换、四元数运动方程、求解四元数运动方程时积分步长的选取和高动态应用中非互易误差的补偿，此外还介绍了对偶四元数的发展。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

This equation has been tested out, for example, by studying the motion of the planet Mercury-the planet closest to the Sun, and hence the one with the orbit most sensitively dependent on the details of Einstein's equation.

这个公式已经经过了验证，比如，研究水星的运动-最靠近太阳的星体，所以取决于爱因斯坦的公式，它的轨道最敏感。

The last time when the valves open and close the boundary condition equation and heating systems in the other boundary condition equations, one-dimensional unsteady flow equations of motion and the joint solution of continuity equation, we can find the non-dimensional opening when the valve changes, heating system to calculate changes in surface pressure.

上回阀启闭时的边界条件方程与供热系统中的其它边界条件方程、一维不定常流动的运动方程和连续方程联解，就可以求出当止回阀无量纲开度变化时，供热系统各计算截面压力的变化情况。

Transversely isotropic ; layered saturated ground ; Biot's motion equation ; elastic circular plate ; Fredholm integral equation

横观各向同性；饱和层状地基； Biot动力方程；弹性圆板； Fredholm积分方程

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。

Based on the Lagrangian equation with dissipation function, the motion equation of a microbubble with shell is obtained, and the dynamic characteristics of microbubble with shell in free space are studied. It shows that the inner and outer maximum radii of the microbubble increase when the acoustic pressure and its initial radius increase, as well as when the ultrasonic frequency decreases.

理论上利用有耗散函数的Lagrange方程，建立了有壳微泡的R运动方程，开展了自由空间中有壳微泡动力学特性的研究，表明微泡内外半径增量随声压的增大、超声频率的降低、初始内径的增大及壳厚的减薄而迅速增大。

Directed against the designed parallel welding head mechanism of IC chip pasting machine,the movement equation was established,the positive solution of motion equation was presented,and the positive and reverse solutions of velocity and acceleration were derived.

高速高精度IC芯片粘片机是IC芯片封装的主要设备之一，其粘片速度已超过10 000次/h，定位精度达微米级，而且粘片速度和定位精度有越来越高的趋势[1]，但目前国内外IC芯片粘片机的焊头机构都采用串联结构的形式，运动部件的惯量很大，不利于粘片速度和定位精度的提高。

Subsequently, using the mass-energy relation, the general expression of the solution of the energy-curvature equation on the medium shell curve method is discussed, and the general expression of Binet equation about orbit of the celestial bodies motion is given.

随后应用质能关系探讨介质层壳弯曲方法中能量方程解的一般形式，给出天体运行轨道的一般性 Binet 方程，给出了行星近日点进动、光线弯曲的解析分析。

By discussing the existent equations of mass-velocity relation, the equivalent polar coordinate equation and its Binet equation of the mass-velocity relation are given, and the expressions of the mass-velocity relation and mass-energy relation are given too, which include the forms of superluminal motion.

摘 要：通过讨论已有质速关系的方程形式，给出质速关系的等效极坐标方程及其 Binet 方程，进而给出质速关系及质能关系的几个较为具体的方程形式，包括超光速运动形式。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。