The work is devoted to finding the most general integration ability cases of the differential equation in the analytical dynamics and their application in the celestial mechanics. A number of the basic theorems in the theory of integration in the quadratures of the canonic Hamilton systems has been formulated and proven. The new integrated case of the differential equations for celestial mechanics, which is the generalization of the know task about two inmovable centres has been found and investigated in details. The algorithm for construction of the intermediate orbit for natural and artificial planet satellites has been developed. The obtained results the reliability of which is provided by the accurate solutions of the analytical mechani...
Earth rotation based on the celestial coordinates of the celestial intermediate pole I. The dynamica...
Translated from the French.v. 1.Periodic solutions, the non-existence of integral invariants, asympt...
The problems of developing methods for construction of the program movements taking limitations for ...
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bod...
AbstractA number of problems in celestial mechanics, some Hamiltonian systems and non-Hamiltonian on...
Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton ...
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathemat...
Abstract: The new development representation for secular part of perturbing function of mu...
Abstract: Double-averaged Hill’s problem taking into account the oblateness of the central...
This book presents classical celestial mechanics and its interplay with dynamical systems in a way s...
This thesis deals primarily with solving systems of autonomous ordinary nonlinear differential equa...
Systems of ordinary differential equations, containing small parameters (a model problem from quantu...
Some results on the dynamics of conservative and dissipative systems with applications t
This third edition text provides expanded material on the restricted three body problem and celestia...
The aim is to solve the problem of existing and constructing integral manifolds of the mechanical sy...
Earth rotation based on the celestial coordinates of the celestial intermediate pole I. The dynamica...
Translated from the French.v. 1.Periodic solutions, the non-existence of integral invariants, asympt...
The problems of developing methods for construction of the program movements taking limitations for ...
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bod...
AbstractA number of problems in celestial mechanics, some Hamiltonian systems and non-Hamiltonian on...
Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton ...
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathemat...
Abstract: The new development representation for secular part of perturbing function of mu...
Abstract: Double-averaged Hill’s problem taking into account the oblateness of the central...
This book presents classical celestial mechanics and its interplay with dynamical systems in a way s...
This thesis deals primarily with solving systems of autonomous ordinary nonlinear differential equa...
Systems of ordinary differential equations, containing small parameters (a model problem from quantu...
Some results on the dynamics of conservative and dissipative systems with applications t
This third edition text provides expanded material on the restricted three body problem and celestia...
The aim is to solve the problem of existing and constructing integral manifolds of the mechanical sy...
Earth rotation based on the celestial coordinates of the celestial intermediate pole I. The dynamica...
Translated from the French.v. 1.Periodic solutions, the non-existence of integral invariants, asympt...
The problems of developing methods for construction of the program movements taking limitations for ...