Successive Lorentz transformations (SLT) for energy and momentum are derived, and the involved Thomas rotation angle (TRA) is highlighted. In particular, if the axes of the coordinate systems related by SLT are suitably chosen, the SLT for energy and momentum do not depend on the TRA explicitly and take a form analogous to that of the Lorentz transformation for energy and momentum. Then the study of dynamical problems involving SLT becomes as easy as that of dynamical problems involving a Lorentz transformation. Those results are applied to the study of a relativistic elastic scattering of two particles having non-collinear velocities as a dynamical problem involving SLT. The expressions for the energies and momentums of the scattered particles in the laboratory system are obtained in terms of the TRA. If the considered particles are protons with given non-collinear velocities, the TRA, the energies and directions of the scattered protons are determined. Original diagrams for momentum are obtained.

导出了能量和动量的连续洛伦兹变换（SLT），并突出了所涉及的托马斯旋转角（TRA）。特别地，如果适当地选择了与SLT相关的坐标系的轴，则用于能量和动量的SLT并不明确取决于TRA，而是采取类似于用于能量和动量的Lorentz变换的形式。这样，涉及SLT的动力学问题的研究就变得像涉及Lorentz变换的动力学问题一样容易。这些结果被用于研究具有非共线速度的两个粒子的相对论性弹性散射，这是涉及SLT的动力学问题。根据TRA获得了实验室系统中散射粒子的能量和动量的表达式。如果考虑的粒子是具有给定非共线速度的质子，则确定TRA，散射质子的能量和方向。获得了动量的原始图。