The ELVO Holding Company (President B. M. Karakayev) and the ZETO Company (Director-General N. N. Kozlovskii) looked after both the organization of the symposium and the relaxation of the delegates, including visits of a local nature and unforgettable excursions to Pushkinskiye Gory, and the S. V. Kovalevskaya and I. M. Vinogradov Museums.
The symposium received financial support from the Russian Foundation for Basic Research (01-0110101). Special assistance was provided to young participants.
The scientific programme comprised plenary sessions (A), mini-symposia, consisting of combined meetings of two sections (B), mini-symposia in the section on classical mechanics (C), mini-symposia in the section on celestial mechanics (D) and a computer presentation of the website of the electronic version of the Journal Prikladnaya Matematika i Mekha.
Section B comprised mini-symposia B1 (Methods of Classical and Celestial Mechanics) and B2 (Selected Problems of Classical and Celestial Mechanics). Section C consisted of mini-symposia C1 (Analytical Mechanics), C2 (Theory of Stability and Bifurcations), C3 (Regular and Chaotic Dynamics), C4 (Oscillations of Mechanical Systems), and C5 (Dynamics of Rigid and/or Deformable Bodies). Section D consisted of mini-symposia D1 (The Three-Body and n-Body Problems), D2 (Periodic and Quasi-Periodic Orbits -Resonances), D3 (Research on the Dynamics of the Planets of the Solar System), D4 (Dynamics of Rotational Motion of Celestial Bodies) and D5 (Dynamics of Orbital Systems).
Two invited papers were presented: A. V. Karapetyan, S. Ya. Stepanov (Moscow) and R. S. Sulikashvili (Tbilisi) entitled "Eightieth birthday tribute to Academician V. V. Rumyantsev", and Yu. P. Gupalo (Moscow), "The Journal Prikladnaya Matematika i Mekhanika as a catalyst in the development of research in the area of mechanics".
The following is a brief description of other papers presented at the sessions of sections A and B. A. S. Andreyev (Ul'yanovsk). "The stability with respect to part of the variables: some results and the prospects for their development". The results of research on the stability with respect to part of the variables based on the method of Lyapunov functions from the point of view of the prospects for using them and of further development were reviewed.
A. S. Andreyev, Ye. B. Kim (Uryanovsk) and C. Risito (Parma, Italy). "The stability of generalized steady and quasi-steady motions". The sufficient conditions for unconditional stability of generalized steady and quasi-steady motions are derived. Examples are considered.
V. V. Beletskii, M. L. Pivovarov and A. A. Savchenko (Moscow) "Regular and chaotic attitude motions of a dumbell-shaped satellite". The attitude motion of an orbital tethered system, modelled by a dumbellshaped satellite whose centre of mass moves in an elliptic orbit, is investigated. Regular and chaotic motions of the orbital coupling with tense tether are considered.
S. V. Bolotin (Moscow). "Poincar6 chaotic solutions of the second kind in the restricted three-body problem". The problem of the motion of a particle in the field of attraction of fixed centres of small mass when there are additional smooth potential and gyroscopic forces is considered. Bernoulli representations of the chaotic trajectories with a large number of symbols are obtained for the restricted three-body problem in celestial mechanics.