Geometry of Kapitsa's potentials

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In this short note we uncover the geometry behind the classical result on averaging high-frequency vibrations ẍ + a(t/ε) V′(x) = 0. It is shown that the classical effective potential of Kapitsa is produced by a centrifugal force of a point mass constrained to a certain curve determined by V.

Original languageEnglish (US)
Pages (from-to)1365-1368
Number of pages4
Issue number5
StatePublished - Sep 1 1998

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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