Una aplicación de las series de lie en el estudio del problema de los dos cuerpos clásico
The classical two-body problem is analyzed by Lie series through a common regularization. It is showed that by an appropriate change of the independent variable (introducing a pseudo-time) is possible to obtain six differential equations which, integrated by Lie series, give short expressions for th...
- Autores:
-
Portilla B., J G
Brieva B., E
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2009
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73365
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73365
http://bdigital.unal.edu.co/37840/
- Palabra clave:
- Lie series
two-body problem
Celestial Mechanics.
Series de Lie
problema de los dos cuerpos
mecánica celeste.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The classical two-body problem is analyzed by Lie series through a common regularization. It is showed that by an appropriate change of the independent variable (introducing a pseudo-time) is possible to obtain six differential equations which, integrated by Lie series, give short expressions for the components of the position and velocity vectors. In principle, the expressions are valid for the conics and the rectilinear motion. |
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