The research contribution of LGN and JM was made possible
by a Newton Advanced Fellowship from the Royal Society, Ref: NA140017. The work of AVB and ISM is
supported by the Russian Foundation for Basic Research (Project No. 17-01-00846-a). The research of AVB
was also carried out within the framework of the state assignment of the Ministry of Education and Science
of Russia.
Поступила в редакцию: 09.08.2017 Исправленный вариант: 27.04.2018 Принята в печать: 11.05.2018
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Тип публикации:
Статья
Язык публикации: английский
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cmda3
Эта публикация цитируется в следующих 16 статьяx:
Alessandro Arsie, Nataliya A. Balabanova, “A note on the geometry of the two-body problem on S2”, Journal of Geometry and Physics, 198 (2024), 105111
Rubén Darío Ortiz Ortiz, Ana Magnolia Marín Ramírez, Ismael Oviedo de Julián, “Asymptotic Antipodal Solutions as the Limit of Elliptic Relative Equilibria for the Two- and n-Body Problems in the Two-Dimensional Conformal Sphere”, Mathematics, 12:7 (2024), 1025
Ruben Dario Ortiz Ortiz, Mario Enrique Almanza Caro, Alejandra Patricia Guzman Perez, Ana Magnolia Marin Ramirez, “Asymptotic relative equilibrium in the n-body problem: Relativistic application in the Poincaré upper half-plane”, Int. J. Geom. Methods Mod. Phys., 21:02 (2024)
Toshiaki Fujiwara, Ernesto Pérez-Chavela, “Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem”, J Nonlinear Sci, 34:5 (2024)
Philip Arathoon, “Relative equilibria of mechanical systems with rotational symmetry”, Nonlinearity, 37:9 (2024), 095001
Alessandro Arsie, Nataliya A. Balabanova, “Collision trajectories and regularisation of two-body problem on S2”, Journal of Geometry and Physics, 191 (2023), 104883
Philip Arathoon, “Unifying the Hyperbolic and Spherical 22-Body Problem with Biquaternions”, Regul. Chaotic Dyn., 28:6 (2023), 822–834
A. Bengochea, C. García-Azpeitia, E. Pérez-Chavela, P. Roldan, “Continuation of relative equilibria in the n–body problem to spaces of constant curvature”, Journal of Differential Equations, 307 (2022), 137
Juan Manuel Sánchez-Cerritos, Liang Ding, Jinlong Wei, “Equilibrium points in restricted problems on S2 and H2”, Journal of Mathematical Physics, 63:6 (2022)
Antonio Hernández-Garduño, Ernesto Pérez-Chavela, Shuqiang Zhu, “Stability of Regular Polygonal Relative Equilibria on S2”, J Nonlinear Sci, 32:5 (2022)
Luis C. García-Naranjo, James Montaldi, “Attracting and Repelling 2-Body Problems on a Family of Surfaces of Constant Curvature”, J Dyn Diff Equat, 33:4 (2021), 1579
Nataliya A. Balabanova, James A. Montaldi, “Two-body Problem on a Sphere
in the Presence of a Uniform Magnetic Field”, Regul. Chaotic Dyn., 26:4 (2021), 370–391
Shuqiang Zhu, “Compactness and Index of Ordinary Central Configurations for
the Curved N-Body Problem”, Regul. Chaotic Dyn., 26:3 (2021), 236–257
Jaime Andrade, Claudio Vidal, Claudio Sierpe, “Stability of the Relative Equilibria in the Two-body Problem on the Sphere”, Regul. Chaotic Dyn., 26:4 (2021), 402–438
Philip Arathoon, “Singular Reduction of the 2-Body Problem on the 3-Sphere and the 4-Dimensional Spinning Top”, Regul. Chaotic Dyn., 24:4 (2019), 370–391