Algorithmes de résolution des systèmes polynomiaux : Application aux configurations centrales du problème des n corps en mécanique céleste

1998-2003 Publications

• 2003
  • I. Kotsireas : “Central configurations in the newtonian n-body problem of celestial mechanics”, chapter in Computer Algebra Handbook, pp. 176-179, (Springer Verlag) (2003)
• 2002
  • I. Kotsireas, D. Lazard : “Central Configurations of the 5-Body Problem with Equal Masses in Three-Space”, Journal of Mathematical Sciences, vol. 108 (6), pp. 1119-1138, (Springer Verlag (Germany)) (2002)
• 1999
  • J.‑Ch. Faugère, I. Kotsireas : “Symmetry theorems for the Newtonian 4- and 5-body problems with equal masses”, 2^nd Workshop on Computer algebra in scientific computing, Munich, Germany, pp. 81-92, (Springer-Verlag) (1999)
  • I. Kotsireas, D. Lazard : “Central configurations of the 5-body problem with equal masses in three-dimensional space”, “Записки научных семинаров ПОМИ” - Zapiski Nauchnykh. Seminarov POMI - Note des séminaires scientifiques du département de mathématiques de Saint-Pétersbourg de l'Institut Steklov, vol. 258 (4), pp. 292-317, (``Nauka'' S.-Peterburg. Otdel.) (1999)
• 1998
  • I. Kotsireas : “Algorithmes de résolution des systèmes polynomiaux : Application aux configurations centrales du problème des n corps en mécanique céleste”, thesis, phd defence 12/16/1998, supervision Lazard, D. (1998)
  • I. Kotsireas : “Using Grobner bases and invariant theory to check a conjecture in celestial mechanics”, ACA 1998 - IMACS Conference on Applications of Computer Algebra, Prague, Czechia (1998)
  • I. Kotsireas, D. Lazard : “Central configurations of the 5-body problem with equal masses in three dimensional space”, CASC'98 - International Workshop on Computer Algebra for Scientific Computing, St.Petersburg, Russian Federation (1998)