ON THE ORBITAL STABILITY OF TRIANGULAR LAGRANGIAN MOTIONS IN THE THREE-BODY PROBLEM

Autor:	Stepan P. Sosnitskii
Rok vydání:	2008
Předmět:	Physics Coupling Standard gravitational parameter Classical mechanics Space and Planetary Science Astronomy and Astrophysics Circular orbit Orbital mechanics Three-body problem Stability (probability) Instability Celestial mechanics
Zdroj:	The Astronomical Journal. 136:2533-2540
ISSN:	1538-3881 0004-6256
DOI:	10.1088/0004-6256/136/6/2533
Popis:	For the spatial three-body problem, the orbital stability of stationary triangular Lagrangian solutions is investigated. To the end of stability analysis, new equations coupling the mutual distances between bodies (mass points) are deduced. A theorem on the orbital instability of stationary triangular solutions related to circular orbits of mass points is proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dde14ba6ffeb162ba6c88f1d43aa8684 https://doi.org/10.1088/0004-6256/136/6/2533 Zobrazit plný text záznamu