The Investigation of Stationary Points In Central Configuration Dynamics

Simple item page
dc.creatorRosaev, A. E.
dc.date2005-05-19
dc.date.accessioned2026-07-07T05:20:03Z
dc.date.available2026-07-07T05:20:03Z
dc.descriptionA system of N points, each having mass m, and a central mass M forming a planar central configuration, is considered. The equations of motion of a test particle are given and compared using different coordinates. For large values of N, even or odd, the equations are given too. The method used for the computation of some relevant sums can be important for practical applications. It is shown that the stationary solutions (libration points) can be determined from an algebraic equation of 5-th degree. If the mass of the particles is large, the outer libration points disappear. For the inner libration points the limit minimal distance has been detected. If m=M is small the solution obtained for the libration has as limit a solution similar to the for 3-body collinear points. We have also constructed a central configuration with 2N + 1 bodies, in which N new particles, each of mass m1= m, are placed at the libration points of our first system.
dc.description14 pages with 3 figures, preprint version
dc.identifierhttps://arxiv.org/abs/math/0505404
dc.identifierhttp://arxiv.org/abs/math/0505404
dc.identifierProceedings of Libration Point Orbits And Applications Conference, Parador de Aiguablava, Girona, Spain 10 - 14 June, 2002 Eds. by G. Gomez, M. W. Lo and .J.J. Masdemont, World Scientific Pub, New Jersey - London – Singapore - Hon Kong, (2003). p. 623-637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75244
dc.subjectDynamical Systems
dc.subject70F16
dc.titleThe Investigation of Stationary Points In Central Configuration Dynamics
dc.typetext

Files

Collections

arXiv