An induced representation method for studying the stability of Saturn's rings

作者:Chakraborty S B*; Sen S
来源:Indian Journal of Physics and Proceedings of the Indian Association for the Cultivation of Science, 2017, 91(2): 121-128.
DOI:10.1007/s12648-016-0894-x

摘要

Maxwell modelled a ring of Saturn as a collection of n identical unit mass particles, revolving round the planet in a circular orbit. He then showed that this system was stable under planar perturbation provided the condition m>Cn(3) was satisfied, where m was the mass of Saturn and C a constant. We showed how Maxwell's result could be obtained using a set of group character formulas for induced representations established by Mackey.

  • 出版日期2017-2

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