Study of the oscillation modes in a Symmetric Physical Pendulum using the effective potential
In this paper we present a unified study of the dynamics of the symmetrical physical pendulum in the phase space of the different oscillation modes presented in this system: plane mode, elliptic mode and conic mode, using an effective potential that will depend on the nutation coordinate and also de...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad Pedagógica y Tecnológica de Colombia
- Repositorio:
- RiUPTC: Repositorio Institucional UPTC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.uptc.edu.co:001/15252
- Acceso en línea:
- https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8180
https://repositorio.uptc.edu.co/handle/001/15252
- Palabra clave:
- Péndulo físico simétrico, oscilación, nutación, precesión, ápsidal, modos de oscilación, precesión, ápsidal.
Pendulum, Symmetrical physical pendulum, nutation, apsidal precession, oscillation modes, precession
- Rights
- License
- http://purl.org/coar/access_right/c_abf2
| Summary: | In this paper we present a unified study of the dynamics of the symmetrical physical pendulum in the phase space of the different oscillation modes presented in this system: plane mode, elliptic mode and conic mode, using an effective potential that will depend on the nutation coordinate and also depends parametrically on the energy and angular momentum of the system. We also present a formal deduction of the Allais approximation for the apsidal precession of the symmetrical physical pendulum using the theory of small oscillations around the steady motion or conic oscillation mode. |
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