Phase Space of Rolling Solutions of the Tippe Top

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dc.creatorGlad, S. Torkel
dc.creatorPetersson, Daniel
dc.creatorRauch-Wojciechowski, Stefan
dc.date2007-03-09
dc.date.accessioned2026-07-07T09:34:43Z
dc.date.available2026-07-07T09:34:43Z
dc.descriptionEquations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit three integrals of motion that are linear and quadratic in momenta. In the Euler angle variables $(θ,ϕ,ψ)$ these integrals give separation equations that have the same structure as the equations of the Lagrange top. It makes it possible to describe the whole space of solutions by representing them in the space of parameters $(D,λ,E)$ being constant values of the integrals of motion.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0703016
dc.identifierhttp://arxiv.org/abs/nlin/0703016
dc.identifierSIGMA 3 (2007), 041, 14 pages
dc.identifierdoi:10.3842/SIGMA.2007.041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159591
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectClassical Physics
dc.titlePhase Space of Rolling Solutions of the Tippe Top
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