Use and Copyright

You may copy and use any images or data from this web gallery. Please, credit us by citing this page and our paper [8].

References

[1] R. Broucke and D. Boggs, Periodic orbits in the Planar General Three-Body Problem, Celest. Mech. 11, 13 (1975).

[2] M. Henon, Families of periodic orbits in the three-body problem, Celest. Mech. 10, 375 (1974).

[3] R. Broucke, On relative periodic solutions of the planar general three-body problem, Celest. Mech. 12, 439 (1975).

[4] M. Henon, A family of periodic solutions of the planar three-body problem, and their stability, Celest. Mech. 13, 267 (1976).

[5] M. Henon, Stability of interplay motions, Celest. Mech. 15, 243 (1977).

[6] C. Moore, Braids in classical gravity, Phys. Rev. Lett. 70, 3675 (1993).

[7] A. Chenciner, R. Montgomery, A remarkable periodic solution of the three-body problem in the case of equal masses, Ann. Math. 152, 881 (2000).

[8] M. Šuvakov and V. Dmitrašinović, Three Classes of Newtonian Three-Body Planar Periodic Orbits, Phys. Rev. Lett. 110, 114301 (2013). arXiv:1303.0181

[9] M. Šuvakov, Numerical Search for Periodic Solutions in the Vicinity of the Figure-Eight Orbit: Slaloming around Singularities on the Shape Sphere, Celest. Mech. Dyn. Astron. 119, 369 (2014). arXiv:1312.7002

[10] M. Šuvakov and M. Shibayama, Three topologically nontrivial choreographic motions of three bodies, Celest. Mech. Dyn. Astron. 124, 155 (2016).

[11] V. Dmitrašinović, A. Hudomal, M. Shibayama, A. Sugita, Newtonian Periodic Three-Body Orbits with Zero Angular Momentum: Linear Stability and Topological Dependence of the Period, arXiv:1705.03728

[12] Matthew Sheen (2016) "3 Body Problem - Periodic Solutions" YouTube

[13] Shanghai group solutions:
  • Xiaoming Li , Shijun Liao, "Collisionless periodic orbits in the free-fall three-body problem," New Astronomy 70 (2019) 22–26 gallery
  • Li XM and Liao SJ. "More than six hundred new families of Newtonian periodic planar collisionless three-body orbits," Sci China Phys Mech Astron 2017; 60: 129511. gallery
  • Xiaoming LI, Yipeng JING, and Shijun LIAO, "Over a thousand new periodic orbits of a planar three-body system with unequal masses," Publ. Astron. Soc. Japan (2018) 00 (0), 1–7 gallery

Contact

Milovan Šuvakov.
suki@ipb.ac.rs


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