dc.contributor |
Universitat de Vic. Escola Politècnica Superior |
dc.contributor |
Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
dc.contributor.author |
Alvarez, Martha |
dc.contributor.author |
Corbera Subirana, Montserrat |
dc.contributor.author |
Delgado, Joaquin |
dc.contributor.author |
Llibre, Jaume |
dc.date |
2005 |
dc.identifier |
ALVAREZ, M. i altres . "The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed". A: Proceedings of the American Mathematical Society, 2005, vol. 133, núm. 2, pà g. 529-536. |
dc.identifier |
0002-9939 |
dc.identifier |
http://hdl.handle.net/10854/1899 |
dc.identifier.uri |
http://hdl.handle.net/10854/1899 |
dc.description |
In the n{body problem a central con guration is formed when the
position vector of each particle with respect to the center of mass is a common
scalar multiple of its acceleration vector. Lindstrom showed for n = 3 and for
n > 4 that if n ð€€€? 1 masses are located at xed points in the plane, then there
are only a nite number of ways to position the remaining nth mass in such a
way that they de ne a central con guration. Lindstrom leaves open the case
n = 4. In this paper we prove the case n = 4 using as variables the mutual
distances between the particles. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
American Mathematical Society |
dc.rights |
First published in The Proceedings of the American Mathematical Society in Volume 133, Number 2, p. 529-536 published by the American Mathematical Society |
dc.rights |
Tots els drets reservats |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Matemà tica |
dc.title |
The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/publishedVersion |