Floating Bodies of Equilibrium in 2D, the Tire Track Problem and Electrons in a Parabolic Magnetic Field
Floating Bodies of Equilibrium in 2D, the Tire Track Problem and Electrons in a Parabolic Magnetic Field
复制标题
二维平衡浮体、轮胎轨迹问题和抛物线磁场中的电子
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
F. Wegner
中科院分区：
文献类型：
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作者：
F. Wegner
给出了相对密度不等于1/2的二维浮体问题（可以在所有位置漂浮的物体）和轮胎轨迹问题（自行车的轮胎轨迹，不允许确定自行车走哪条路）的显式解，它们不同于圆。起点是作者在档案物理/0205059和应用数学研究111（2003）167-183中给出的微分方程。这些曲线也是垂直磁场中电荷的轨迹。
Explicit solutions of the two-dimensional floating body problem (bodies that can float in all positions) for relative density different from 1/2 and of the tire track problem (tire tracks of a bicycle, which do not allow to determine, which way the bicycle went) are given, which differ from circles. Starting point is the differential equation given by the author in archive physics/0205059 and Studies in Appl. Math. 111 (2003) 167-183. The curves are also trajectories of charges in a perpendicular magnetic field.