Second-species solutions in the circular and elliptic restricted three-body problem |
| |
Authors: | Gerard Gomez Merce Olle |
| |
Institution: | (1) Departament de Matemática Aplicada i Análisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain;(2) Departament de Matemática Aplicada, Universitat Politècnica de Catalunya, E.T S.E.I.B., Diagonal 647, 08028 Barcelona, Spain |
| |
Abstract: | An analytical proof of the existence of some kinds of periodic orbits of second species of Poincaré, both in the Circular and Elliptic Restricted three-body problem, is given for small values of the mass parameter. The proof uses the asymptotic approximations for the solutions and the matching theory developed by Breakwell and Perko. In the paper their results are extended to the Elliptic problem and applied to prove the existence of second-species solutions generated by rectilinear ellipses in the Circular problem and nearly-rectilinear ones in the Elliptic case. |
| |
Keywords: | Elliptic problem circular problem restricted problem second-species solutions asymptotic approximations |
本文献已被 SpringerLink 等数据库收录! |
|