REFERENCES
- N. Bahcall, L. Lubin, V. Dorman, Where is the dark matter?, Astrophys. J. 447 (1995) L81-L85.
- J. Binney, S. Tremaine, Galactic Dynamics. Second edition. Princeton Univ. Press, Princeton, NJ, 2008.
- F. Diacu, E. Perez-Chavela, M. Santoprete, Saari's conjecture of the N-body problem in the collinear case, Trans. Amer. Math. Soc. 357 (2005) 4215–4223.
- T. Fujiwara, “Toward a simple proof of the Saari's conjecture for three-body planar orbit,” Presentation at Saarifest 2005, April 6, 2005, Guanajuato, Mexico.
- M. Hampton, R. Moeckel, Finiteness of relative equilibria of the four-body problem. Invent. Math. 163 (2006) 289–312.
- A. Hernández-Garduno, J. Lawson, G. Marsden, Relative equilibria for the generalized rigid body, J. Geom. Phys. 53 (2005) 259–274.
- H. Pollard, Celestial mechanics, Carus Math. Monogr., 18, Mathematical Association of America, Washington, D.C., 1976.
- C. McCord, Saari's conjecture for the planar three-body problem with equal masses, Celestial Mech. Dynam. Astronom. 89 (2004) 99–118.
- M. Milgrom, A modification of Newtonian dynamics, Astrophysical J. 270 (1983) 365–370, 371–383, 384–389.
- R. Moeckel, Linear stability of relative equilibria with a dominant mass, J. Dynam. Differential Equations 6 (1994) 37.
- R. Moeckel, A computer assisted proof of Saari's Conjecture for the planar three-body problem, Trans. Amer. Math Soc. 357 (2005) 3105–3117.
- R. Moeckel, A proof of Saari's conjecture for the three-body problem in ℝd, Discrete Contin. Dyn. Syst. 1 (2008) 631–646.
- G. Roberts, Some counterexamples to a generalized Saari conjecture, Trans. Amer. Math Soc. 358 (2006) 251–265.
- V. Rubin, Galaxy dynamics and the mass density of the universe, Proc. Natl. Acad. Sci. USA 90 (1993) 4814–4821.
- D. Saari, On bounded solutions of the n-body problem, in Periodic Orbits, Stability and Resonances, Ed. by G. Giacagliz. D. Riedel, Dordrecht, 1970. 76–81.
- D. Saari, A visit to the Newtonian n-body via elementary complex variables, Amer. Math. Monthly. 97 (1990) 105–119.
- D. Saari, Collisions, Rings, and Other Newtonian N-Body Problems, American Math Society, Providence RI, 2005.
- D. Saari, Central configurations—A problem for the twenty-first century in Expeditions in Mathematics. Ed. by D. Hayes and T. Shubin. Mathematical Association of America, Washington, D.C., 2011. 283–297.
- M. Santoprete, A counterexample to a generalized Saari's conjecture with a continuum of central configurations, Celestial Mech. Dynam. Astronom. 89 (2004) 357–364.
- T. Schmah, C. Stoica, Saari's conjecture is true for generic potentials, Trans. Amer. Math. Soc. 359 (2007) 4429–4448.
- A. Wintner, The Analytic Foundations of Celestial Mechanics. Princeton Univ. Press, Princeton, NJ, 1941.
- Z. Xia, Some of the problems Saari did not solve, in Celestial Mechanics: Dedicated to Donald Saari for his 60th Birthday. Contemporary Mathematics No. 292. Ed. by A. Chenciner, R. Cushman, C. Robinson, and Z. Xia. American Mathematical Society, Providence, RI, 2002.