First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation
| Autor: | Claudio Vidal, Angelo Alberti |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Applied Mathematics 010102 general mathematics General Engineering Perturbation (astronomy) General Medicine 01 natural sciences Celestial mechanics 010101 applied mathematics Computational Mathematics symbols.namesake Continuation Planar Kepler problem symbols Circular orbit 0101 mathematics Anisotropy General Economics Econometrics and Finance Analysis Mathematical physics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 58:103238 |
| ISSN: | 1468-1218 |
| Popis: | Motivated by some problems in Celestial Mechanics that combines quasihomogeneous potential in the anisotropic space, we investigate the existence of several families of first kind symmetric periodic solutions for a family of planar perturbed Kepler problem. In addition, we give sufficient conditions for the existence of first kind periodic solutions and also we characterize its type of stability. As an application of this general situation, we discuss the existence of symmetric periodic solutions for the anisotropic Kepler problem plus a generalized anisotropic perturbation, (shortly, p-AKPQ problem) and for the Kepler problem plus a generalized anisotropic perturbation (shortly, p-KPQ problem), as continuation of circular orbits of the two-dimensional Kepler problem. To get this objective, we consider different types of perturbations and then we apply our main result. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect