The family P12 of the three-body problem - The simplest family of periodic orbits, with twelve symmetries per period

Celestial Mechanics and Dynamical Astronomy

Volumn 78, Issue 1-4, 2000, Pages 279-298

  Marchal, C ^a  

^a ONERA   (France)

Author keywords

Eight shaped orbits; Periodic orbits; Symmetry

Indexed keywords

EID: 0042227585     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1011178014112     Document Type: Article

References (8)

1. Alain Chenciner and Richard Montgomery: 1999, 'A remarkable periodic solution of the three-body problem in the case of equal masses', Northwestern University, Evanston conference on Celestial Mechanics, December 15-19.
2. Pontryagin, L. S., Boltyansky, V. G., Gamkrelidze, R. V. and Mischenko, E. F.: 1962, The Mathematical Theory of Optimal Processes, Chap. 1-5, Interscience Publishers, (division of Wiley) New York, London.
3. Marchal, C.: 1990, The Three-body Problem, Elsevier Science Publishers B.V., pp. 302-311.
4. Henri Poincaré: 1952, Oeuvres de Henri Poincaré, Tome 7, Gauthier-Villars Editeur, Paris, pp. 253-254. Also Bulletin Astronomique, Tome 1, Février, 1884, 65-66.
5. Henri Poincaré: 1952, Oeuvres de Henri Poincaré, Tome 7, Gauthier-Villars Editeur, Paris, pp. 253-254. Also Bulletin Astronomique, Tome 1, Février, 1884, 65-66.
6. Marchal, C.: 1990, The Three-body Problem, Elsevier Science Publishers B.V., pp 251-257.
7. Marchal, C.: 1990, The Three-body Problem, Elsevier Science Publishers B.V., pp. 25-29.
8. Marchal, C.: 1975, Survey paper. Second-order tests in optimization theories. J Optim Theory Appli(JOTA) 15 (6), 633-666.