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On the Existence of Central Configurations of p Nested n-gons

On the Existence of Central Configurations of p Nested n-gons
 
Corbera Subirana, Montserrat ; Delgado, Joaquin ; Llibre, Jaume
2009

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Nom: artconlli_a2009_corbera_montse_on_the_existence.pdf
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Enllaç permanent: http://hdl.handle.net/10854/5359
 
Versió de l'editor: https://doi.org/10.1007/s12346-010-0004-y
 

Resum:

In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different.

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Citació Bibliogràfica:

Corbera, M., Delgado, J., Llibre, J. (2009). On the existence of central configurations of p nested n-gons. Qualitative Theory of Dynamical Systems., 8, 255-265.