Non-collision periodic solutions of the N-body system

Nonlinear Differential Equations and Applications

Volumn 5, Issue 1, 1998, Pages 117-136

  Dell'Antonio, Gianfausto ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0842315734     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000300050037     Document Type: Article

References (13)

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3. L. SBANO, Noncollision periodic solutions with zero angular momentum for the 3-body problem, Ph.D. Thesis in preparation
4. E. SERRA, S. TERRACINI, Collisionless periodic solutions to some threebody problems, Arch. Rat. Mech. Anal. 120, 305-325 (1992)
5. M.S. ELBIALY, Collisionless singularities in celestial mechanics, SIAM Journal of Math. Analysis 21, 1563-1593 (1990)
6. K.F. SUNDMAN, Acta Soc. Sci. Fenn. 35, 9 (1909)
7. A. WINTNER, The Analytic Foundations of Celestial Mechanics Princeton University Press, 1947
8. R.Mc GEHEE, Singularities in Classical Celestial Mechanics Proceedings of the International Congress of Math., Helsinki, 1978
9. K. SIEGEL, J. MOSER, Lectures on Celestial Mechanics, Springer, 1971
10. R. MOECKEL, On central configurations, Math. Zeitschrift 205, 499-517 (1990)
11. A. AMBROSETTI, V. COTI-ZELATI, Closed orbits of fixed energy for a class of N-body problem, Ann. Inst. H.Poincaré, Analyse nonlineaire 9, 187-200 (1992)
12. A. AMBROSETTI, M. STRUWE, Periodic motions of conservative systems with singular potentials, Nonlinear diff. eq. and applications 1, 179-202 (1994)
13. R. MOECKEL, C. SIMO, Bifurcation of Spacial Central Configurations from Planar Ones, to be published on Siam J. of Math, Analysis