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On the stability of electrostatic orbits

机译:关于静电轨道的稳定性

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摘要

We analyze the stability of two charged conducting spheres orbiting each other. Due to charge polarization, the electrostatic force between the two spheres deviates significantly from 1 r2 as they come close to each other. As a consequence, there exists a critical angular momentum, Lc, with a corresponding critical radius rc. For L> Lc two circular orbits are possible: one at r> rc that is stable and the other at r< rc that is unstable. This critical behavior is analyzed as a function of the charge and the size ratios of the two spheres.
机译:我们分析了两个彼此绕行的带电导体球的稳定性。由于电荷极化,两个球之间的静电力在彼此靠近时会明显偏离1 r2。结果,存在具有对应的临界半径rc的临界角动量Lc。对于L> Lc,可能有两个圆形轨道:一个在r> rc处稳定,另一个在r

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