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In my pre-diploma research paper I (will) deal with the problems of efficient evaluation of Lie-Series for high precision calculation/simulation of satellite orbits. Therefore a software framework has been developed.

Further Information can be found on the Webpages of ZIH: External Link.


  • Enrico Mai; Numerische Integration von Satellitenbahnen mittels Liereihen-Entwicklung; Verlag der Bayerischen Akademie der Wissenschaften in Kommission beim Verlag C. H. Beck;
  • Hanslmeier, A. & Dvorak, R.; Numerical Integration with Lie Series; Astronomy and Astrophysics, Vol.132, NO. 1, P. 203, 1984;…132..203H
  • András Pál, Áron Süli; Solving linearized equations of the N-body problem using the Lie-integration method; Monthly Notices of the Royal Astronomical Society; Volume 381, Issue 4, pages 1515–1526, November 2007; here
  • Enrico Mai, Lelgemann; Zur nummerischen Integration mechanischer Bewegungsgleichungen mittels Liereihen-Entwicklung; Zeitschrift für Vermessungswesen, 2007; here
  • P. -V. Koseleff; Relations among Lie formal series and construction of symplectic integrators; Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; Lecture Notes in Computer Science, 1993, Volume 673/1993, 213-230, DOI: 10.1007/3-540-56686-4_45;