Academic Journal
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
| العنوان: | The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem |
|---|---|
| المؤلفون: | Llibre, Jaume, PaÅŸca, Daniel, Valls, Clà udia |
| سنة النشر: | 2021 |
| المجموعة: | Universitat Autònoma de Barcelona: Dipòsit Digital de Documents de la UAB |
| مصطلحات موضوعية: | Circular restricted 4-body problem, Collinear central configuration, Periodic orbit |
| الوصف: | We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| ردمك: | 978-85-12-05446-9 85-12-05446-8 |
| Relation: | Agencia Estatal de Investigación PID2019-104658GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Celestial Mechanics and Dynamical Astronomy; Vol. 133, Issue 11-12 (December 2021), art. 53; https://ddd.uab.cat/record/267144; urn:oai:ddd.uab.cat:267144; urn:scopus_id:85120544683; urn:gsduab:5531 |
| الاتاحة: | https://ddd.uab.cat/record/267144 |
| Rights: | open access ; Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permÃs del(s) titular(s) de drets. ; https://rightsstatements.org/vocab/InC/1.0/ |
| رقم الانضمام: | edsbas.B0E07FCA |
| قاعدة البيانات: | BASE |
| ردمك: | 9788512054469 8512054468 |
|---|