Language:   Search:   Contact
World of
Mathematics Database
»ZBMATH« MSC 2000
MSC 2010 Reviewer
Service Subscription
»ZBMATH«
ZBMATH Database | Advanced Search Print
Read more | Try MathML | Hide
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

ZBMATH Database Simple Search Advanced Search Command Search

Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1083.70012
Hampton, Marshall; Moeckel, Richard
Finiteness of relative equilibria of the four-body problem. (English)
[J] Invent. Math. 163, No. 2, 289-312 (2006). ISSN 0020-9910; ISSN 1432-1297/e

Summary: We show that the number of relative equilibria of the Newtonian four-body problem is finite, up to symmetry. In fact, we show that this number is always between 32 and 8472. The proof is based on symbolic and exact integer computations which are carried out by computer.
MSC 2000:
*70F10 n-body problem
70-08 Computational methods (mechanics of particles and systems)
68W30 Symbolic computation and algebraic computation

Keywords: symbolic computations; system of polynomial equations; Newton polytopes

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

Login Username: Password:

Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Master Server

Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster