Orbits in the problem of two fixed centers on the sphere
[EN] A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultaneous gnomonic projections in S2. This isomorphism converts the original quadratures into elliptic integrals and allo...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/133125 |
| Acceso en línea: | http://hdl.handle.net/10366/133125 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematical physics Mathematical Physics Exactly Solvable Integrable Systems |
| Sumario: | [EN] A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultaneous gnomonic projections in S2. This isomorphism converts the original quadratures into elliptic integrals and allows the bifurcation diagram of the spherical problem to be analyzed in terms of the corresponding ones of the planar systems. The dynamics along the orbits in the different regimes for the problem in S2 is expressed in terms of Jacobi elliptic functions. |
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