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Algebraic structure of the manifold of solutions of the $N$-body problem
- Source :
- Proceedings of the American Mathematical Society; 1970, Vol. 25 Issue: 2 p417-422, 6p
- Publication Year :
- 1970
-
Abstract
- The Theorem of Ritt on the decomposition of the perfect differential ideal generated by a single irreducible differential polynomial is, here, generalized to system of polynomials satisfying certain conditions. We use these results to prove that all solutions of the $ N$ (the distance between the masses <IMG WIDTH="74" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="images/img4.gif" ALT="$ {M_i},\;{M_j}$">) is zero, belong to one irreducible manifold.
Details
- Language :
- English
- ISSN :
- 00029939 and 10886826
- Volume :
- 25
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Periodical
- Accession number :
- ejs21908949