The Session on

Computer Algebra for Dynamical Systems and Celestial Mechanics

at the International Conference on Applications of Computer Algebra

ACA-2008

July 27-30, 2008, Linz, Austria

 

Tue,

July

29

Time

Room B

 

 

9:30 - 10:00

A modern, generic and object-oriented algebraic manipulation framework for Celestial Mechanics
Francesco Biscani, Department of Astronomy, University of Padua, Italy

 

10:00 - 10:30

Construction of periodic orbits and their regularity as approximation of invariant curves
Corrado Falcolini, University of Roma Tre, Italy

10:30 - 11:00

Coffee break

11:00 - 11:30

Approximating center manifolds on a model for a Solar Sail
Ariadna Farrés and Àngel Jorba, Departament de Matemàtica Aplicada i Anàlisi Universitat de Barcelona, Spain

11:30 - 12:00

Planetary three-body problem with Poisson series processor
K.V. Kholshevnikov, Sobolev Astronomical Institute, St.Petersburg State University, Russia,
E.D. Kuznetsov, Astronomical Observatory, Ural State University, Russia

  1.  

12:00 - 13:30

Lunch

13:30 - 14:30

Plenary Talk

14:30 - 15:00

Coffee break

15:00 - 15:30

Nekhoroshev estimates in a symplectic mapping model of the 1:1 resonance of the elliptic restricted three body problem
Christoph Lhotka,
Institute for Astronomy, University of Vienna, Austria

15:30 - 16:00

PPKBZ9: Symbolic-numeric model in artificial satellite theory
Juan F. San-Juan, Dept. Matemáticas y Computación, Universidad de La Rioja, Spain

16:00 - 16:30

Analysis of dynamics for a satellite with gyros with the aid of the software LinModel
Andrey V. Banshchikov, Institute for System Dynamicsand Control Theory, SB of RAS, Russia

16:30 - 17:00

Break

17:00 - 17:30

Dynamic visualization for computational dynamics
Daniel Lichtblau, Wolfram Research, USA

 

17:30 - 18:00

Symbolic creation of nilpotent normal forms: another point of view
J. Mikram and F. Zinoun, University of Rabat and University of Meknès, Moroccan Kingdom

 

18:00 - 18:30

Caustics in the Dynamical Systems with Two Degrees of Freedom
A. Mylläri, University of Turku, Finland,
T. Mylläri
, Åbo Akademi University, Finland,
A.Gusev , S. Vinitsky, Joint Institute for Nuclear Research, Dubna, Russia

 


 

Wed,

July

30

Time

Room B

9:00 - 9:30

On the automatic computation of high order variationals for the numerical integration of ODE by means of the Taylor method
Àngel Jorba, Departament de Matemàtica Aplicada i Anàlisi Universitat de Barcelona, Spain

 

9:30 - 10:00

On invariant manifolds of conservative systems with 3-rd and 6-th degree first integrals
Valentine D. Irtegov, Tatiana N. Titorenko, Institute for Systems Dynamics and Control Theory, SB of RAS, Russia

10:00 - 10:30

On gyroscopic stabilization with the singular matrix of gyroscopic forces
Larisa A. Burlakova, Institute of Systems Dynamics and Control Theory, SB of RAS, Russia

 

10:30 - 11:00

Coffee break

11:00 - 11:30

Calculation of the asymptotic expansion of continuous spectrum solutions of the two-dimentional boundary problem
O. Chuluunbaatar
, V.P. Gerdt, A.A. Gusev, S.I. Vinitsky, Joint Institute for Nuclear Research, Dubna, Russia,
P.M.Krassovitskiy
, Institute of Nuclear Physics, Almaty, Kazakhstan

 

11:30 - 12:00

On Complexity of Series Manipulations in Celestial Mechanics
Nikolay Vassiliev, Steklov Institute of Mathematics at St. Petersburg, Russia

 

12:00 - 13:30

Lunch