The intramolecular vibrational relaxation of H_2O and H_2O_2 have been investigated with the method of moment motion equation of phase space. The results show that vibration of both H_2O and H_2O_2 exhibit fairly strong local mode phenomena at lower OH vibration excited states.
The particle non-linear motion equation for a radial sector cyclotron with N-folded Symmetry was derived. The betation oscillations frequency with N=4,5,6,8,10 and the phase planar properties before and after vx=4/3 resonance with N=4,f=0.578 were analyzed, by using numerical method.
Through the large N C analysis of equation of motion for f 1, we find: The time-component f 0 of f 1 takes the order of O (1 N 3/2 C ), while its space-component f i possesses the order O (1 N C ),the same order as the one of ω .
通过对 f1 运动方程的大NC 分析 ,发现 :f1 的时间分量 f0 具有O(1N3/2C)的量级 ,其空间分量 fi 具有和ω空间分量ωi 相同的O(1NC)量级。
Computer-aided on-line development and derivation of the motion equation of space module
The frequency dependences of the skin depth and its dependences on the magnitude and type of spin pinning are determined from a numerical analysis of the solutions of the motion equation for magnetization.
The derivation is based on the variational principle, from which the motion equation and conservation law follow in a form invariant with respect to arbitrary transformations of coordinates on the diaphragm surface.
Two linear partial differential equations are derived in spherical-isobaric coordinates for the numerical simulation of the Walker circulation with the assumption that the meridional motion equation remains in gradient balance.
In deriving the motion equation, the spherical image of a point source, which is a combination of a point source and a line source, is proved approximate to a double source.
In the second model the hydrodynamic equation of motion was used for analyzing the motion of large particles by means of the method of particles in a cell.
Chaplygin  obtained a general solution for the equation of motion in the hodograph plane.
We consider a system consisting of the equation of motion, the equation for the turbulence energy, the expression relating the turbulence coefficient with the turbulence scale, and the integral formula for determining the turbulence scale.
For the velocity profile in the mixing zone an expression is used which results from integrating the equation of motion in von Mises variables.
The motion of the gas, as shown in , can be assumed to be nearly isothermal, and the influence of the inertial terms in the equation of motion for the gas can be neglected.
Some Features of the Computer-aided Derivation of the Motion Equations of a Package of Mechanical Systems and Their Decompositio
Computer-aided derivation of the motion equations of a package of mechanical systems was considered.
The right side of the resulting mathematical model generated by the symbolic computer system such as Maple was represented as easy-to-use relations for decomposition of the object motion equations.
Consideration was given to derivation of the motion equations of a space robotic module with a mathematical model having many degrees of freedom whose number can vary in the course of operation.
The results of computer-aided derivation of the motion equations of several particular schemes of the of the space robotic module were presented to illustrate constructiveness of the proposed mathematical support of problem solution.