Szczegóły publikacji
Opis bibliograficzny
Oscillatory collision approach in the Earth–Moon restricted three body problem / Maciej J. CAPIŃSKI, Aleksander PASIUT // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704 . — 2026 — vol. 152 pt. A art. no. 109173, s. 1-24. — Bibliogr. s. 23-24, Abstr. — Publikacja dostępna online od: 2025-07-29
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 162048 |
|---|---|
| Data dodania do BaDAP | 2025-09-05 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cnsns.2025.109173 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Communications in Nonlinear Science & Numerical Simulation |
Abstract
We consider the Earth-Moon planar circular restricted three body problem and present a proof of the existence of orbits, which approach arbitrarily close to one of the primary masses, and at the same time after each approach they move away from the mass to a prescribed distance. In other words the orbits oscillate between being arbitrarily close to collision and away from it. We achieve our goal with the use of topological tools combined with rigorous interval computations. We use the Levi-Civita regularization and validate that the dynamics in the regularized coordinates leads to a good topological alignment between various sets. We then perform shadowing arguments that this leads to the required dynamics in the original coordinates of the system.
