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CRM > English > Activities > RP Central Configurations
RP Central Configurations

Research Program on Central Configurations, Periodic Orbits and


Beyond in Celestial Mechanics

General information 


When: From January 15 to July 15, 2014  ​
Where: Centre de Recerca Matemàtica​                                            Weekly Seminar            
                                                                       Clay Mathematics Institute grants available​​​ to participate in the                                                                                                   HAMSYS 2014​ conference (CLOSED)         

Jaume Llibre, Universitat Autònoma de Barcelona
Josep Maria Cors, Universitat Politècnica de Catalunya
Montserrat Corbera, Universitat de Vic 


The study of the dynamics of n point masses interacting according to Newtonian gravity is usually called the n-body problem. It can be considered as old as the history of the science and has influenced most of the areas in mathematics. However, most of the problems in Celestial Mechanics are beyond the present limits of the knowledge and many natural questions are difficult or impossible to solve when the number of bodies n is larger than 2.  

In order to make progress against such complexity one must look for specific objects. From a geometrical point of view a key point consists in trying to understand the structure of the phase space looking for the equilibrium points, periodic orbits, invariant tori, ... The stable and unstable manifolds associated to these objects form a kind of network of connections, which together with the previous invariants objects constitute a big part of the main skeleton of the system.  

One of the main ingredients of the phase space are the periodic orbits. Over the years, many authors have contributed to study the periodic orbits of a wide variety of n-body problems from different points of view. A particular interesting type of periodic orbit in the planar n-body problem is one in which the particles remain in the same shape relative to one another. The possible configurations for the particles in such orbits are called central configurations.  

The purpose of this research programme is finding new approaches to the main open questions in the following topics: First to central configurations (mainly for few bodies), and second to periodic orbits of the n-body problem and their bifurcations.​ 

Activities organized 


Advanced course: Central Configurations, Periodic Orbits and beyond in Celestial Mechanics. From 27 to 31 January 2014 

Conference: Hamiltonian Systems and Celestial Mechanics 2014 (HAMSYS2014)​. From 2 to 6 June 2014  

Weekly Seminar​

Invited researchers 

You can check a list of the confirmed researchers below (dates are given only for those who have confirmed them).​

MarthaAlvarezUniversidad Autónoma Metropolitana-Iztapalapa11/05/201408/06/2014
MarthaAlvarezUniversidad Autónoma Metropolitana-Iztapalapa11/05/201413/06/2014
JulianBarbourUniversity of Oxford25/05/201428/05/2014
EstherBarrabésUniversitat de Girona02/06/201406/06/2014
AntonioCarlosCentro Brasileiro de Pesquisas Físicas02/06/201406/06/2014
MontserratCorbera SubiranaUniversitat de Vic07/01/201415/07/2014
MontserratCorbera SubiranaUniversitat de Vic02/06/201406/06/2014
Josep MariaCorsUniversitat Politècnica de Catalunya01/01/201431/07/2014
Josep MariaCorsUniversitat Politècnica de Catalunya02/06/201406/06/2014
AmadeuDelshamsUniversitat Politècnica de Catalunya02/06/201406/06/2014
FlorinDiacuYale-NUS College01/06/201408/06/2014
Martin EduardoFríasUniversidad de Sonora01/04/201425/04/2014
ToshiakiFujiwaraKitasato University02/06/201406/06/2014
JorgeGalanUniversidad de Sevilla02/06/201406/06/2014
AntonioGarciaUniversidad Autónoma Metropolitana-Iztapalapa02/06/201406/06/2014
VassiliGelfreichUniversity of Warwick02/06/201406/06/2014
MarianGideaYeshiva University01/06/201405/07/2014
MarianGideaYeshiva University02/06/201406/06/2014
CharlesJaffeWest Virginia University02/06/201406/06/2014
AngelJorbaUniversitat de Barcelona01/06/201408/06/2014
JaumeLlibreUniversitat Autònoma de Barcelona01/01/201431/07/2014
JaumeLlibreUniversitat Autònoma de Barcelona27/01/201431/01/2014
JaumeLlibreUniversitat Autònoma de Barcelona02/06/201431/07/2014
YimingLongChern Institute of Mathematics and LPMC26/05/201425/06/2014
YimingLongChern Institute of Mathematics and LPMC02/06/201406/06/2014
TereMartínez-SearaUniversitat Politècnica de Catalunya02/06/201406/06/2014
RichardMoeckelUniversity of Minnesota15/01/201428/02/2014
RichardMoeckelUniversity of Minnesota27/01/201401/02/2014
RichardMoeckelUniversity of Minnesota31/05/201408/06/2014
DanielOffinQueen's University02/06/201406/06/2014
MerceOlleUniversitat Politècnica de Catalunya02/06/201406/06/2014
ArturoOlveraUniversidad Nacional Autónoma de México02/06/201406/06/2014
Jesús F.PalaciánUniversidad Pública de Navarra16/02/201415/03/2014
Jesús F.PalaciánUniversidad Pública de Navarra02/06/201406/06/2014
ErnestoPérez-ChavelaInstituto tecnológico Autónomo de México27/03/201427/04/2014
ErnestoPérez-ChavelaInstituto tecnológico Autónomo de México31/05/201407/06/2014
KennethsR. MeyerUniversity of Cincinnati31/05/201407/06/2014
ClarkRobinsonNorthwestern University01/06/201407/06/2014
DonaldSaariUniversity of California at Irvine06/04/201414/04/2014
ManueleSantoprete 02/06/201406/06/2014
CarlesSimóUniversitat de Barcelona07/01/201431/07/2014
CarlesSimóUniversitat de Barcelona02/06/201406/06/2014
CristinaStoicaWilfrid Laurier University21/05/201408/06/2014
CristinaStoicaWilfrid Laurier University02/06/201406/06/2014
ClàudiaValls Instituto Superior Técnico Lisboa27/12/201321/01/2014
ClàudiaValls Instituto Superior Técnico Lisboa01/02/201422/02/2014
ClaudioVidalUniversidad del Bío-Bío01/06/201421/06/2014
PatriciaYanguasUniversidad Pública de Navarra16/02/201415/03/2014
XiangZhangShanghai Jiao Tong University09/01/201407/03/2014


This Research Programme is partially supported by the generous support of 

Further information 

To participate in the programme please send a message to the programme coordinator.  

For further information contact the programme coordinator Neus Portet (​)