惯性系

The estimates of the absolute position and velocity of the vehicle in Local Inertial Cartesian Coordinate System are provided by Kalman filter and the data fusion algorithm called covariance matching method.

将滤波器所估测的相对位置和相对速度的资料，再转换至区域惯性直角座标系(Local Inertial Cartesian Coordinate System，简称LICCS)，并使用卡尔曼滤波为基础的共变异匹配法资料融合技术进行资料融合，以改善定位的精度。

On moving base, a new initial alignment algorithm for strapdown inertial navigation system is proposed. In the algorithm, two special inertial frames, the initial-time inertial frame (i0 frame) and the initial-time SINS body inertial frame (ib0 frame), are defined and are selected as calculation reference frames, then, the calculation of initial alignment direction cosine matrix is expanded into three parts:(1) the DCM between i0 frame and the navigation frame will be easily obtained via local geographical coordinates and initial alignment time;(2) attitude updating using gyro samples gets the DCM between SINS frame and ib0 frame;(3) by explaining SINS specific force equation in SINS body frame, the relation between velocity log, accelerometer measurement and gravity acceleration is established to achieve the constant DCM from ib0 frame to i0 frame.

在运载体运动情况下，提出了一种适用于捷联惯导系初始对准的新算法，该算法以惯性空间为参考基准，即建立了初始时刻惯性坐标系（i0系）和初始时刻捷联惯组惯性坐标系（ib0系）两个惯性坐标系，将初始对准姿态矩阵的实现分解为三部分：（1）通过地理位置和初始对准时间求解i0系至导航坐标系的变换矩阵；（2）使用姿态更新算法实时计算捷联惯组相对于ib0系的变换矩阵；（3）通过惯导比力方程变形，获得测速仪辅助测量、加速度计输出和重力加速度之间的关系，从中可以求解出从ib0系至i0系的常值变换矩阵。

IMU signal which is in ground coordinate system transforms to output in missile coordinate system through transformation matrix, and considering the constant error of inertial component, white noise, and random error, the IMU signal in missile can be simulated.

IMU在地面系下的投影，通过转换矩阵转换为弹体系下的输出，再考虑到惯性器件常值误差﹑白噪声与随机误差的影响，即可模拟IMU在弹体内的输出。

Facing the empirical facts of natural objects, I believe that an inevitable remedial opinion can be concluded for 'relativity principle' of mechanics: the law that governs the changes of the motion of objects in inertial system corresponds to which of the two mutually uniformly rectilinearly moving reference systems is used to describe 'the changes of location' of these movements.

面对自然客体的经验事实我认为可以得出对力学&相对性原理&的一个必然的修补意见：惯性系物体运动据以变化的定律，同描述这些运动&位置的改变&的参考系究竟是用两个互相匀速直线移动着的哪一个参考系相对应。

In this paper,the generalized equations of variable mass for high-order nonholonomic mechanical system in noninertial frame are de- rived by the universal D Alembert s principle and an example is given to illustrate the application of these equations.

本文由万有D'Alembert 原理导出变质量高阶非完整系统相对于非惯性系的广义方程，并举例说明其应用。

After considering the earth rotation and non-conservative forces energy dissipation, the energy conservation equation was presented. The formula of the gravitation potential and tide-generating force additional potential of sun and moon were given in detail.

给出了地心惯性系下顾及地球自转和非保守力能量损耗的能量守恒方程，并且对日、月摄动位与引潮力附加位的计算方法作了相应的分析，同时介绍了加速度数据的处理方法。

Indeed, even the phrase "at the same time" is only meaningful relativistically in a particular inertial reference frame.

其实，即使是这句话：&在同一时间&，是唯一有意义的relativistically在某一惯性系。

Indeed, it is quite enough to know the results obtained by an observer in one c.s.

究竟是否存在一个惯性系的问题，直到现在还无法决定。

A bending motion equation of a tilting drive shaft with rigid multi-supports is derived by theorem of the motion of mass center, method of Galerkin and Heaviside function.

根据质心运动定理、Galerkin法和Heaviside函数，求得非惯性系下倾斜刚性多支点传动轴的弯曲运动方程。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。