An adaptive robust controller with l_2-gain performance has been designed for roll-movement of air-to-air missile with thrust vector.

The transverse motion of particle enhances the heat and mass transfer of material in the rotary kiln, and it is important for the optimal design and practical use of the equipment.

In this paper, the influ ences of the transverse motion on the electron back bamardment in SW linacs have been analysed by solving the beam envelope equations under backward moti.

The transverse motion is taken into account and the full 3D motion equations are developed.

So,a cutting angle of PDC cutter under drilling with lateral movement is given a strict definition,the calculating formula of the inclination and cutting edge inclination at any point of blade contour is then deduced and the influencing rule of bit's lateral drilling rate on a cutting angle.

The code considers both transverse and longitudinal movements in the accelerators using a used 4 order variable step Runge Kutta method to calculate the beam envelope of the transverse movement, the phase oscillation curve of the longitudinal movement, the energy growth, the energy distribution at the exit, and the longitudinal electric and magnetic field distributions.