On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

Autor:	Elbaz I. Abouelmagd, Juan Luis García Guirao, Jaume Llibre
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	restricted 3–body problem first- (second)-type periodic orbits conservative forces first integral of motion Astronomy QB1-991
Zdroj:	Galaxies, Vol 11, Iss 2, p 58 (2023)
Druh dokumentu:	article
ISSN:	2075-4434 51478692
DOI:	10.3390/galaxies11020058
Popis:	In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b5fe2edc5f5147869287005dded90485 Zobrazit plný text záznamu View record in DOAJ