@incollection{AST_2003__286__249_0, author = {Chenciner, Alain}, title = {Perverse solutions of the planar $n$-body problem}, booktitle = {Geometric methods in dynamics (I) : Volume in honor of Jacob Palis}, editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe}, series = {Ast\'erisque}, pages = {249--256}, publisher = {Soci\'et\'e math\'ematique de France}, number = {286}, year = {2003}, mrnumber = {2052305}, zbl = {1200.70008}, language = {en}, url = {http://archive.numdam.org/item/AST_2003__286__249_0/} }
TY - CHAP AU - Chenciner, Alain TI - Perverse solutions of the planar $n$-body problem BT - Geometric methods in dynamics (I) : Volume in honor of Jacob Palis AU - Collectif ED - de Melo, Wellington ED - Viana, Marcelo ED - Yoccoz, Jean-Christophe T3 - Astérisque PY - 2003 SP - 249 EP - 256 IS - 286 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2003__286__249_0/ LA - en ID - AST_2003__286__249_0 ER -
%0 Book Section %A Chenciner, Alain %T Perverse solutions of the planar $n$-body problem %B Geometric methods in dynamics (I) : Volume in honor of Jacob Palis %A Collectif %E de Melo, Wellington %E Viana, Marcelo %E Yoccoz, Jean-Christophe %S Astérisque %D 2003 %P 249-256 %N 286 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2003__286__249_0/ %G en %F AST_2003__286__249_0
Chenciner, Alain. Perverse solutions of the planar $n$-body problem, dans Geometric methods in dynamics (I) : Volume in honor of Jacob Palis, Astérisque, no. 286 (2003), pp. 249-256. http://archive.numdam.org/item/AST_2003__286__249_0/
[AC] Le problème des corps et les distances mutuelles, Invent. Math. 131, p. 151-184 (1998). | DOI | MR | Zbl
and ,[AM] The inverse problem for collinear central configurations, Celestial Mechanics and Dynamical Astronomy 77, p. 77-91 (2000). | DOI | MR | Zbl
and ,[BCS] Truly perverse relative equilibria of the planar -body problem, in preparation
, and ,[BE] Configurations polygonales en équilibre relatif, C.R. Acad. Sci. Paris, t. 329, Série IIb, p. 243-248 (2001). | Zbl
and ,[C] Are there perverse choreographies?, to appear in the Proceedings of the HAMSYS conference held in Guanajuato in march 2001. | MR
,[CGMS] Simple choreographies of bodies: a preliminary study, in Geometry. Mechanics and Dynamics, Ed. P.Newton, P. Holmes & A. Wemstein, p. 287-308, Springer (2002). | DOI | MR | Zbl
, , and ,[D] Ueber einen merkwürdigen Fall des Vielkörperproblems, Astron. Nacht. 152, p. 33-46 (1900). | DOI
,[M] On central configurations, Math. Zeit., 205, p. 499-517 (1990). | DOI | EuDML | MR | Zbl
,[MB] Permanent configurations in the problem of four bodies, Transactions of the AMS, vol 34, p. 838-875 (1932) (see page 872). | DOI | JFM | MR | Zbl
and ,[MS] Bifurcation of Spatial Central Configurations from Planar Ones, SIAM J. on Math. Analysis, 26, p. 978-998 (1995) | DOI | MR | Zbl
and ,[S1] New families of Solutions in -Body Problems, Proceedings of the ECM 2000, Barcelona (July, 10-14), Ed. C. Casacuberta, R. M. Miró, J. Verdera and S. Xambó, Progress in Mathematics 201, p. 101-115, Birkhäuser-Verlag, Basel | Zbl
,[S2] Periodic orbits of the planar -body problem with equal masses and all bodies on the same path, in The Restless Universe, Ed. B. Steves and A. Maciejewski, p. 265-284
,Periodic orbits of the planar -body problem with equal masses and all bodies on the same path, Institute of Physics Pub., Bristol (2001)
,[V] Une caractérisation variationnelle des solutions de Lagrange du problème plan des trois corps, C.R. Acad. Sci. Paris, t. 332, Série I, p. 641-644, (2001). | DOI | MR | Zbl
,