التفاصيل البيبلوغرافية
| العنوان: |
Numerical study of the geometry of the phase space of the augmented Hill three-body problem |
| المؤلفون: |
Farrés, Ariadna, Jorba, Àngel, Mondelo González, José María |
| سنة النشر: |
2017 |
| المجموعة: |
Universitat Autònoma de Barcelona: Dipòsit Digital de Documents de la UAB |
| مصطلحات موضوعية: |
Hill 3-Body problem, Periodic orbits, Invariant tori, Centre manifolds, 1:1 resonance |
| الوصف: |
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. This paper describes the bounded motions (periodic orbits and invariant tori) in an extended neighbourhood of some of the equilibrium points of the model. An interesting feature is the existence of equilibrium points with a 1:1 resonance, whose neighbourhood we also describe. The main tools used are the computation of periodic orbits (including their stability and bifurcations), the reduction of the Hamiltonian to centre manifolds at equilibria, and the numerical approximation of invariant tori. It is remarkable how the combination of these techniques allows the description of the dynamics of a 3DoF Hamiltonian system. |
| نوع الوثيقة: |
article in journal/newspaper |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| تدمد: |
2902-5699 |
| Relation: |
Ministerio de Economía y Competitividad MTM2015-67724-P; Ministerio de Economía y Competitividad MTM2013-41168-P; Ministerio de Economía y Competitividad MTM2016-80117-P; Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P; Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1145; Celestial Mechanics and Dynamical Astronomy; 2017; https://ddd.uab.cat/record/182534; urn:10.1007/s10569-017-9762-z; urn:oai:ddd.uab.cat:182534; urn:gsduab:4561; urn:recercauab:ARE-87322; urn:scopus_id:85018501196; urn:wos_id:000408346900002; urn:altmetric_id:19185205; urn:oai:egreta.uab.cat:publications/8b2a2902-5699-4d68-a951-d93489168e45 |
| الاتاحة: |
https://ddd.uab.cat/record/182534 |
| Rights: |
open access ; Tots els drets reservats. ; https://rightsstatements.org/vocab/InC/1.0/ |
| رقم الانضمام: |
edsbas.F6D27D2C |
| قاعدة البيانات: |
BASE |