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|
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References
|
|
| |
| 1. |
Albouy A., Open problem 1: are Palmore's “ignored estimates” on the number of planar central configurations correct?, Qual. Theory Dyn. Syst., 14 (2015), 403–406, arXiv: 1501.00694 |
| 2. |
Albouy A., Chenciner A., “Le problème des $n$ corps et les distances mutuelles”, Invent. Math., 131 (1998), 151–184 |
| 3. |
Albouy A., Kaloshin V., “Finiteness of central configurations of five bodies in the plane”, Ann. of Math., 176 (2012), 535–588 |
| 4. |
Fadell E. R., Husseini S. Y., Geometry and topology of configuration spaces, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2001 |
| 5. |
Fayçal N., “On the classification of pyramidal central configurations”, Proc. Amer. Math. Soc., 124 (1996), 249–258 |
| 6. |
Ferrario D. L., “Planar central configurations as fixed points”, J. Fixed Point Theory Appl., 2 (2007), 277–291 |
| 7. |
Ferrario D. L., “Fixed point indices of central configurations”, J. Fixed Point Theory Appl., 17 (2015), 239–251, arXiv: 1412.5817 |
| 8. |
Hampton M., Moeckel R., “Finiteness of relative equilibria of the four-body problem”, Invent. Math., 163 (2006), 289–312 |
| 9. |
Iturriaga R., Maderna E., “Generic uniqueness of the minimal Moulton central configuration”, Celestial Mech. Dynam. Astronom., 123 (2015), 351–361, arXiv: 1406.6887 |
| 10. |
Lang S., Fundamentals of differential geometry, Graduate Texts in Mathematics, 191, Springer-Verlag, New York, 1999 |
| 11. |
MacMillan W. D., Bartky W., “Permanent configurations in the problem of four bodies”, Trans. Amer. Math. Soc., 34 (1932), 838–875 |
| 12. |
Moeckel R., “Relative equilibria of the four-body problem”, Ergodic Theory Dynam. Systems, 5 (1985), 417–435 |
| 13. |
Moeckel R., “On central configurations”, Math. Z., 205 (1990), 499–517 |
| 14. |
Moeckel R., “Central configurations”, Central Configurations, Periodic Orbits, and Hamiltonian Systems, Adv. Courses Math. CRM Barcelona, Birkhäuser/Springer, Basel, 2015, 105–167 |
| 15. |
Moeckel R., Montgomery R., “Symmetric regularization, reduction and blow-up of the planar three-body problem”, Pacific J. Math., 262 (2013), 129–189, arXiv: 1202.0972 |
| 16. |
Ouyang T., Xie Z., Zhang S., “Pyramidal central configurations and perverse solutions”, Electron. J. Differential Equations, 106 (2004), 9 pp. |
| 17. |
Xia Z., “Convex central configurations for the $n$-body problem”, J. Differential Equations, 200 (2004), 185–190 |