The topology of the planar three-body problem with zero total angular momentum and the existence of periodic orbits

Nonlinearity

Volumn 11, Issue 3, 1998, Pages 641-658

  Sbano, L ^a,b  

^a SISSA   (Italy)

^b CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242609543     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/3/013     Document Type: Article

References (10)

1. Ambrosetti A and Coti Zelati V 1994 Periodic Solutions for Lagrangian Systems with Singular Potentials (Boston, MA: Birkhauser)
2. Arnol'd V I 1988 Encyclopedia of Mathematical Sciences: Dynamical Systems vol III (Berlin: Springer)
3. Bahri A and Rabinowitz P 1991 Periodic solutions of Hamiltonian systems of three-body type Ann. Inst. Henri Poincaré. Anal. Nonlin. 8 561-649
4. Dell'Antonio G 1996 Classical solutions for a perturbed N-body system Preprint SISSA-ILAS/FM-1/1996 to appear
5. Gordon W 1975 Minimizing property of Keplerian orbits Am. J. Math. 99 961-71
6. Marsden J E 1992 Lecture on Mechanics (LMS Lecture Notes Series) (Cambridge: Cambridge University Press)
7. Massey W S 1991 A Basic Course in Algebraic Topology (Berlin: Springer)
8. Montgomery R 1998 The N-body problem, the braid group, and action-minimizing periodic solution Nonlinearity 11 363-76
9. Sundman K F 1906 Nouvelles recherches sur le probléme des trois corps Acta Societatis Scientiarum Fennicae 34 1-43
10. Wintner A and Van Kampen E R 1937 On a symmetrical canonical reduction of the three-body problem Am. J. Math. 59