@inproceedings{37011441f39e4372ae89a83af2b08a5e,

title = "Shooting for the eight: A topological existence proof for a figure-eight orbit of the three-body problem",

abstract = "A topological existence proof is given for a figure-eight periodic solution of the equal mass three-body problem. The proof is based on the construction of a Wazewski set W in the phase space. The figure-eight solution is then found by a kind of shooting argument in which symmetrical initial conditions entering W are followed under the flow until they exit W. A linking argument shows that the image of the symmetrical entrance states under this flow map must intersect an appropriate set of symmetrical exit states.",

author = "Moeckel, {Richard B}",

year = "2009",

month = dec,

day = "1",

doi = "10.1007/978-3-642-00873-3_14",

language = "English (US)",

isbn = "9783642008726",

series = "Differential Equations: Geometry, Symmetries and Integrability - The Abel Symposium 2008, Proceedings of the 5th Abel Symposium",

pages = "287--310",

booktitle = "Differential Equations",

note = "5th Abel Symposium 2008 - Differential Equations: Geometry, Symmetries and Integrability ; Conference date: 17-06-2008 Through 22-06-2008",

}