Saari's conjecture for the planar three-body problem with equal masses

Celestial Mechanics and Dynamical Astronomy

Volumn 89, Issue 2, 2004, Pages 99-118

  McCord, Christopher ^a  

^a UNIVERSITY OF CINCINNATI   (United States)

Author keywords

bounded orbits; moment of inertia; relative equilibria; three body problem

Indexed keywords

EID: 4043139314     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:CELE.0000034500.64355.f9     Document Type: Article

References (11)

1. Meyer, K. R. and Hall, G. R.: 1992. Hamiltonian Dynamical Systems, Springer-Verlag, New York.
2. Moeckel, R.: 'A computer-assisted proof of Saari's Conjecture for the Planar Three-Body Problem', preprint http://www.math.umn.edu/rick/research/ Saari5.pdf
3. Palmore, J. I.: 1979, 'Relative equilibria and the virial theorem', Celest. Mech. 19, 167-171.
4. Palmore, J. I.: 1981, 'Saari's conjecture revisited', Celest. Mech. 25, 79-80.
5. Saari, D. G.: 1970, 'On bounded solutions of the n-body problem', In: G. E. O. Giacaglia (ed), Periodic Orbits, Stability and Resonances, D Riedel, Dordrecht.
6. Saari, D. G.: 1970, 'On oscillatory motion in the problem of three bodies', Celest. Mech. 1, 343-346.
7. Saari, D. G.: 1971, 'Expanding gravitational systems', Trans. Amer. Math. Soc. 156, 219-240.
8. Saari, D. G.: 1973, 'On oscillatory motion in gravitational systems', J. Differ. Equations 14, 275-292.
9. Saari, D. G.: 1984, 'From rotations and inclinations to zero configurational velocity surfaces. I. A natural rotating coordinate system', Celest. Mech. 33, 299-318.
10. Saari, D. G.: 1987, 'From rotations and inclinations to zero configurational velocity surfaces. II. The best possible configurational velocity surfaces', Celest. Mech. 40, 197-223.
11. Siegel, C. L. and Moser, J. K.: 1995, Lectures on Celestial Mechanics, Springer-Verlag, Berlin.