2005/03/04 by А. В. Борисов, A. Borisov, И. С. Мамаев +1
Engineering · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Aerospace Engineering and Control Systems #Control and Dynamics of Mobile Robots #nlin.SI
paper · pdf · doi:10.1007/s10569-005-1557-y
17 pages, 3 figures
arxiv created 2005/03/04 · openalex publication_date 2005/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider integrable spherical analogue of the Darboux potential, which appear in the problem (and its generalizations) of the planar motion of a particle in the field of two and four fixed Newtonian centers. The obtained results can be useful when constructing a theory of motion of satellites in the field of an oblate spheroid in constant curvature spaces.