2026-09-16T03:57:22Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1331252022-02-07T15:43:19Zcom_10366_116214com_10366_4512com_10366_3823col_10366_116215

González León, Miguel Ángel Mateos Guilarte, Juan María Torre Mayado, Marina de la 2017-10-01 [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. application/pdf http://hdl.handle.net/10366/133125 eng Orbits in the problem of two fixed centers on the sphere info:eu-repo/semantics/article 27 p. TEXT Gredos. Repositorio Documental de la Universidad de Salamanca Hispana