The restricted two-body problem and the Kepler problem in the constant curvature spaces

Regular and Chaotic Dynamics

Volumn 4, Issue 2, 1999, Pages 112-124

  Chernoivan V A ^a   Mamaev, I S ^a  

^a UDMURT STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002510610     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/rd1999v004n02abeh000107     Document Type: Article

References (11)

1. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt. Mathematical aspects of classical and celestial mechanics. Contemporary Problems in Mathematics. Fundamental Directions. Moscow, VINITI, 1985. V. 3. p. 304.
2. A. V. Borisov, K. V. Emelyanov. Integrability and stochasticity in rigid body dynamics. Ser. Regular & Chaotic Dynamics, Izhevsk, Udmurt State University (Preprint), 1995.
3. M. Born. Lectures on an atomic mechanics. GNTI Ukraine. Kharkov-Kiev, 1934.
4. V. V. Kozlov. On dynamics in spaces of a constant curvature. Vestnik MGU, Math.-mech., 1994, No 2, P. 28-35.
5. E. I. Grebennikov. The method of an averaging in applied problems. M., Nauka, 1986.
6. L. D. Landau, M. E. Lifshitz. Course of theoretical physics V.1 Mechanics. M., Nauka, 1973.
7. A. V. Borisov, I. S. Mamaev. Poisson structures and Lie algebras in Hamiltonian mechanics. Izhevsk, 1999.
8. A. P. Markeev. Theoretical mechanics. M., Nauka, 1990.
9. S. D. Furta. Two-body problem in various aspects. TOO Elf Ltd. M., 1997.
10. A. S. Eddington. Relativity theory., M.-SPb., 1934.
11. N. A. Chernikov. The Kepler problem in the Lobachevski space and its solution. Acta Phis Polonika, V. 23, 1992, P. 115-124.