平面上两个全同粒子在非库仑势作用下在恒定磁场中的运动轨迹
Trajectories of two identical particles on a plane in a constant magnetic field subject to non-Coulomb potentials
摘要：
在极坐标系中，研究了在恒定磁场中两个全同粒子在非库仑势作用下的经典运动。通过对势函数和运动常数的严格分析，给出了系统存在有界周期轨道的充分必要条件。我们还显示和分析牛顿运动方程的数值解。
英文摘要：
Study of the classical motion of two identical particles on a plane subject to non-Coulomb potentials in a constant magnetic field presented in polar coordinates. With the rigorous analysis of the potentials and the constants of motion, we are able to give necessary and sufficient conditions for the existence of bounded and periodic orbits. We also show and analyze numerical solutions of Newton equations of motion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
