Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The number of planar central configurations is finite when $N-1$ mass positions are fixed

Author: Peter W. Lindstrom
Journal: Trans. Amer. Math. Soc. 353 (2001), 291-311
MSC (2000): Primary 70F10
Published electronically: September 18, 2000
MathSciNet review: 1695029
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information


In this paper, it is proved that for $n>2$ and $n\not=4$, if $n-1$ masses are located at fixed points in a plane, then there are only a finite number of $n$-point central configurations that can be generated by positioning a given additional $n$th mass in the same plane. The result is established by proving an equivalent isolation result for planar central configurations of five or more points. Other general properties of central configurations are established in the process. These relate to the amount of centrality lost when a point mass is perturbed and to derivatives associated with central configurations.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 70F10

Retrieve articles in all journals with MSC (2000): 70F10

Additional Information

Peter W. Lindstrom
Affiliation: Department of Mathematics, Saint Anselm College, Manchester, New Hampshire 03102

PII: S 0002-9947(00)02568-X
Received by editor(s): December 18, 1998
Published electronically: September 18, 2000
Article copyright: © Copyright 2000 American Mathematical Society