Szczegóły publikacji
Opis bibliograficzny
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem / Maciej J. CAPIŃSKI, Shane Kepley, J. D. Mireles James // Journal of Differential Equations ; ISSN 0022-0396. — 2023 — vol. 366, s. 132–191. — Bibliogr. s. 185–191, Abstr. — Publikacja dostępna online od: 2023-04-18
Autorzy (3)
- AGHCapiński Maciej
- Kepley Shane
- Mireles James Jason D.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 146491 |
|---|---|
| Data dodania do BaDAP | 2023-05-10 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2023.03.053 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
This paper considers two point boundary value problems for conservative systems defined in multiple coordinate systems, and develops a flexible a posteriori framework for computer assisted existence proofs. Our framework is applied to the study collision and near collision orbits in the circular restricted three body problem. In this case the coordinate systems are the standard rotating coordinates, and the two Levi-Civita coordinate systems regularizing collisions with each of the massive primaries. The proposed framework is used to prove the existence of a number of orbits which have long been studied numerically in the celestial mechanics literature, but for which there are no existing analytical proofs at the mass and energy values considered here. These include transverse ejection/collisions from one primary body to the other, Strömgren's asymptotic periodic orbits (transverse homoclinics for L4,5), families of periodic orbits passing through collision, and orbits connecting L4 to ejection or collision. © 2023 Elsevier Inc.
