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Titre
Orbits in the problem of two fixed centers on the sphere
Autor(es)
Sujet
Mathematical physics
Mathematical Physics
Exactly Solvable
Integrable Systems
Fecha de publicación
2017-10-01
Resumen
[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.
URI
DOI
10.1134/S1560354717050045
Versión del editor
Aparece en las colecciones
- MATHPHYS. Artículos [94]