Phase Space of Rolling Solutions of the Tippe Top
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Phase Space of Rolling Solutions of the Tippe Top
|
|
| Creator |
Glad, S.T.
Petersson, D. Rauch-Wojciechowski, S. |
|
| Description |
Equations 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.
|
|
| Date |
2019-02-16T08:52:00Z
2019-02-16T08:52:00Z 2007 |
|
| Type |
Article
|
|
| Identifier |
Phase Space of Rolling Solutions of the Tippe Top / S.T. Glad, D. Petersson, S. Rauch-Wojciechowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 70E18; 70E40; 70F25; 70K05 http://dspace.nbuv.gov.ua/handle/123456789/147821 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|