Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909767334625280 |
|---|---|
| author | Barrera-Anzaldo, Carlos García-Azpeitia, Carlos |
| author_facet | Barrera-Anzaldo, Carlos García-Azpeitia, Carlos |
| contents | The paper investigates a generalization of the classical Sitnikov problem, concentrating on the movement of a satellite along the Z-axis as it interacts with $n$ primary bodies in periodic motion. It establishes the existence of an infinite number of even and anti-periodic solutions with increasing periods. The proof employs the Leray-Schauder degree theory to trace the critical points of action functionals, using a homotopy from solutions when the primary bodies are transformed into circular orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03934 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods Barrera-Anzaldo, Carlos García-Azpeitia, Carlos Dynamical Systems Mathematical Physics Classical Analysis and ODEs The paper investigates a generalization of the classical Sitnikov problem, concentrating on the movement of a satellite along the Z-axis as it interacts with $n$ primary bodies in periodic motion. It establishes the existence of an infinite number of even and anti-periodic solutions with increasing periods. The proof employs the Leray-Schauder degree theory to trace the critical points of action functionals, using a homotopy from solutions when the primary bodies are transformed into circular orbits. |
| title | Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods |
| topic | Dynamical Systems Mathematical Physics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2409.03934 |