2022/02/21 by Toshiaki Fujiwara, Fujiwara, Toshiaki, Ernesto Pérez-Chavela +1
Engineering · Physics and Astronomy · #70F07 #70F15 #Astro and Planetary Science #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Solar and Space Plasma Dynamics #Spacecraft Dynamics and Control
paper · pdf · doi:10.48550/arxiv.2202.10351
openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the properties of the angular momentum, we develop a new geometrical technique to study relative equilibria for a system of 3--bodies with positive masses, moving on the two sphere under the influence of an attractive potential depending only on the mutual distances among the bodies. With the above techniques we do an analysis of the relative equilibria for the case of three bodies when they are moving on the same geodesic (Euler configurations).