On the Lagrange and Hill stability of the motion of certain systems with Newtonian potential

Astronomical Journal

Volumn 117, Issue 6, 1999, Pages 3054-3058

  Sosnitskii, Stepan P ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

Celestial mechanics; Stellar dynamics

Indexed keywords

EID: 0345911673     PISSN: 00046256     EISSN: None     Source Type: Journal    
DOI: 10.1086/300889     Document Type: Article

References (8)

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2. Duboshin, G. N. 1964, Nebesnaia mekhanika: Osnovnye zadachi i metody [Celestial mechanics: Basic problems and methods] (Moscow: Nauka)
3. Golubev, V. G., & Grebenikov, E. A. 1985, Problema trekh tel v nebesnoi mekhanike [The three-body problem in celestial mechanics] (Moscow: Izd-vo Moskovskogo Univ.)
4. Mittag-Leffler, G. 1912, Acta Math., 35, 29
5. Sokolov, Yu. D. 1951, Singular Trajectories of a System of Free Point Masses (Kiev: Acad. Sci. Ukrainian SSR)
6. Szebehely, V. 1967, Theory of Orbits: The Restricted Problem of Three Bodies (New York: Academic)
7. Whittaker, E. T. 1944, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (4th ed.; New York: Dover)
8. Wintner, A. 1941, The Analytical Foundations of Celestial Mechanics (Princeton: Princeton Univ. Press)