数学毕业论文带电粒子在变化电场中有重力作用时的运动规律

1、带电粒子在变化电场中有重力作用时的运动规律带电粒子在变化电场中有重力作用时的运动规律摘要：本文研究了入射速度为任意方向的情况下，带电粒子在相互正交的恒定磁场 和振荡电场 中并考虑重力情况下的运动规律，并且针对拉莫频率 和振荡频率 展开 1 系列的讨论，从1 般到具体，求得某些特殊情况下粒子的运动状态。在求解过程中首先选择了合适的坐标系，令 沿 轴正方向， 沿 轴正方向，沿 轴负方向，然后根据带电粒子在 轴 3 方向上的受力情况列出粒子的运动微分方程，用直接求解微分方程法求解出带电粒子的运动方程。而后则针对拉莫频率和振荡频率取具体值（）进行讨论，得出带电粒子在这些情况下的运动状态和在某些实际情况

2、下的适用条件，并用 matlab画出带电粒子在 1 些具体条件下的运动轨迹图。关键词：带电粒子；恒定磁场；振荡电场；重力场；运动规律 the motive law of charged particle in changing electric fieldand gravity fieldabstract ： in this article we haveexamined the law of motion of a charged particle when itis put into a constant magnetic field and a vibrationelectric fie

3、ld, and a gravity field at a uniform speedalong arbitrary orientation, we also calculate someparticle s motion states in some certain circumstancesvia the discussion aiming for the larmor frequency a andthe vibration frequency w from general to concrete. inthe solution process, we choose an appropri

4、ate coordinatesystem first, that is to say we makealong x axisdirection,along y axis direction,along y axisnegative direction. then we list the particlesdifferential equation according to its stress situationupwardsaxis, and solve the motion equation ofcharged particle by means ofsolving differentia

5、lequation directly. finally we take the concrete value ofthe a and the wto discussion, and obtain thecharged particle s state of motion in these situation, as well as the suitable condition in certain actualsituation, and also draw some pictures of motive track by using matlab.key words: charged par

6、ticle; constant magnetic field; vibration electric field; gravity field;motive law目录中文摘要1前言11 粒子运 方程的推导 31.1 运 微分方程 31.2 运 方程的推导 41.3 粒子的运 迹 62 运 方程的 论 82.1对 取特殊 的 82.2对 a 取特殊 的 102.3取 或 粒子的运 情况 112.4 对 取具体 的 论 11 2.5 对 取具体 的 12 结 13 参考文献14 英文摘要14 致 15 粒子在 化 中有重力作用 的运 律摘要：本文研究了入射速度 任意方向的情况下， 粒子在相互正交

7、的恒定磁 和振 中并考 重力情况下的运 律，并且 拉莫 率和振 率展开 1 系列的 ，从1 般到具体，求得某些特殊情况下粒子的运 状 。在求解 程中首先 了合适的坐 系，令沿 正方向，沿 正方向，沿 方向，然后根据 粒子在 轴 3 方向上的受力情况列出粒子的运 微分方程，用直接求解微分方程法求解出 粒子的运 方程。而后 拉莫 率和振 率取具体 （） 行 ，得出带电粒子在这些情况下的运动状态和在某些实际情况下的适用条件，并用 matlab画出带电粒子在1 些具体条件下的运动轨迹图。关键词：带电粒子；恒定磁场；振荡电场；重力场；运动规律themotive law of charged partic

8、le in changing electric fieldand gravity fieldabstract ： in this article we haveexamined the law of motion of a charged particle when it is put into a constant magnetic field and a vibrationelectric field, and a gravity field at a uniform speedalong arbitrary orientation, we also calculate someparti

9、cle s motion states in some certain circumstancesvia the discussion aiming for the larmor frequency a andthe vibration frequency w from general to concrete. inthe solution process, we choose an appropriate coordinatesystem first, that is to say we makealong x axisdirection,along y axis direction,alo

10、ng y axisnegative direction. then we list the particlesdifferential equation according to its stress situationupwardsaxis, and solve the motion equation ofcharged particle by means ofsolving differentialequation directly. finally we take the concrete value ofthe a and the wto discussion, and obtain thecharged particle s state of motion in these situation, as well as the suitable condition in certain actual situation, and also draw some pictures of motive track by using matlab.key words: charged particle; constant magnetic field; vibration electric field; gravity field;motive law目录中文摘要