利用三角函数作为一种近似方法，对单摆的动力学方程进行了简化，给出了大角度条件下单摆运动的周期的近似公式。
As an approximate method, with the trigonometric function, the simple pendulum dynamical equation is simplified, and the approximate formula for the period of simple pendulum movement is presented.
在高分辨条件下，多周期积累时间内目标的运动会造成回波包络的跨单元走动，而距离走动带来了检测性能的下降。
In high range resolution conditions, the migration of moving target causes the migration of echo envelop within multicycle integration time and brings the decline of detection performance.
在此基础上分析系统的转动数，发现转动数一般为无理数，只在某些特定条件下存在有理旋转数，从而系统作准周期运动或者周期运动。
The rotating number is generally an irrational number and only in some special conditions is a rational one, from which it can be known that the motion of the system is quasi-periodic or periodic.
天体运动直接影响降水和气温的周期变化，进而在一定的下垫面条件下，影响径流的周期变化。
Firstly, it directly influences the periodic variation of precipitation and air temperature, then influences the periodic variation of runoff based on the underlying surface.
编队卫星相对距离较大，非线性因素不可忽略时，利用非线性周期运动条件，可找到不需消耗任何燃料的周期性相对运动轨道。
When the relative range was large and the effects of nonlinearity could not be neglected, the nonlinearity periodic relative rotating orbits could be found using the nonlinearity initial conditions.
本文对强聚焦加速器中带电粒子运动的稳定性乃至一般的N维周期性线性系统的稳定性给出用转移矩阵的特征值表示的稳定性充分必要条件。
Sufficient and necessary conditions of stability in terms of eigenvalues of the transfer matrix are given for the motion of a charged particle in a strong-focusing accelerator.
在分析周期运动的稳定性时，采用谐波平衡方法，得到转子周期运动的稳定条件，为工程设计提供了一定的依据。
To study the stability of periodic motions the harmonic balance method is used. The condition for the stability of periodic motions can provide a theoretical basis for the design of rotor systems.
结果表明：摇摆条件下摩擦阻力系数随时间周期性波动，波动周期等于摇摆运动周期。
The results show that the friction coefficient in rolling condition fluctuates with time and the period is equal to that of rolling movement.
以编队卫星周期性相对运动条件为约束条件，提出了一种与传统动力学法相反的、研究编队卫星相对动力学的新思想。
Utilizing the orbit constraint derived from the presented algebraic method, the innovational methodology which uses the converse idea comparing with the traditional method is presented.
最后，对插补周期内节点的轨迹进行了规划，以确保运动轨迹满足速度、加速度以及加加速度的平滑约束条件。
At last, a trajectory planning strategy was put forward to guarantee the trajectory in the interpolation process meeting the smoothed constraints of velocity, acceleration and jerk.
最后，对插补周期内节点的轨迹进行了规划，以确保运动轨迹满足速度、加速度以及加加速度的平滑约束条件。
At last, a trajectory planning strategy was put forward to guarantee the trajectory in the interpolation process meeting the smoothed constraints of velocity, acceleration and jerk.
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