Classification of periodic orbits in the four- and five-body problems

Annals of the New York Academy of Sciences

Volumn 1017, Issue , 2004, Pages 408-421

  Broucke, Roger A ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Choreography; Figure eight orbit; Five body problem; Four body problem; Interplay orbit; n body problem; Periodic orbit; Three body problem

Indexed keywords

ASTRONOMY; CONFERENCE PAPER; FORCE; MATHEMATICAL COMPUTING; ROTATION;

EID: 3042713924     PISSN: 00778923     EISSN: None     Source Type: Book Series    
DOI: 10.1196/annals.1311.023     Document Type: Conference Paper

References (4)

1. CHENCINER A. & R. MONTGOMERY. 2000. A new periodic solution of the three-body problem in the case of equal masses. Ann. Math. 152: 881-901.
2. SCIENCE. 2001. Planetary ballet. Science 294(Dec. 14): 2255.
3. CHENCINER, A., J. GERVER, R. MONTGOMERY & C. SIMO. 2003. Simple choreographic motions of bodies. In Geometry, Mechanics and Dynamics. Springer-Verlag.
4. SIMO, C. 2002. Dynamical properties of the figure-eight solution of the three-body problem. Contemp. Math. 292: 209.