Add to ORKGAbstract. The equations of the inverse problem of dynamics are used in order to obtain planar and spatial potentials of Hénon-Heiles type which give rise to some special families of curves. The curves of such a family can be traced by a material point of unit mass, with suitable initial conditions, moving under the action of the specific potential. We determine the region where the motion is possible, as well as the total energy of the particle. Key words: celestial mechanics – inverse problem of dynamics – families of orbit
This book presents classical celestial mechanics and its interplay with dynamical systems in a way s...
The theory of orbits is developed using spherical polar coordinates and the inverse square law of at...
The two-body problem is a well-known case of the general central force problem with an attractive, i...
Abstract. In the framework of the 3D inverse problem of dynamics, we establish the conditions which ...
Abstract. We discuss a simple case of the planar inverse problem of Dynamics, considering a one-dime...
summary:The paper deals with the problem of finding the field of force that generates a given ($N-1$...
The family of orbits given in advance in the inverse problem of dynamics can be described in implici...
The three-dimensional inverse problem of particle dynamics is studied here. The potential U and the ...
The two-dimensional inverse problem of dynamics is considered for nonconservative force \u85elds, bo...
The so-called inverse problem of dynamics is about constructing a potential for a given family of cu...
Abstract. In the framework of the inverse problem of Dynamics we investigate the com-patibility betw...
The problem of controlling the movement of a mechanical system refers to the inverse problems of dyn...
Some results on the dynamics of conservative and dissipative systems with applications t
In the light of inverse problem of dynamics, we consider the motion of a material point on an arbit...
Two families of periodic orbits in a three-dimensional potential of astronomical interest are descri...
This book presents classical celestial mechanics and its interplay with dynamical systems in a way s...
The theory of orbits is developed using spherical polar coordinates and the inverse square law of at...
The two-body problem is a well-known case of the general central force problem with an attractive, i...
Abstract. In the framework of the 3D inverse problem of dynamics, we establish the conditions which ...
Abstract. We discuss a simple case of the planar inverse problem of Dynamics, considering a one-dime...
summary:The paper deals with the problem of finding the field of force that generates a given ($N-1$...
The family of orbits given in advance in the inverse problem of dynamics can be described in implici...
The three-dimensional inverse problem of particle dynamics is studied here. The potential U and the ...
The two-dimensional inverse problem of dynamics is considered for nonconservative force \u85elds, bo...
The so-called inverse problem of dynamics is about constructing a potential for a given family of cu...
Abstract. In the framework of the inverse problem of Dynamics we investigate the com-patibility betw...
The problem of controlling the movement of a mechanical system refers to the inverse problems of dyn...
Some results on the dynamics of conservative and dissipative systems with applications t
In the light of inverse problem of dynamics, we consider the motion of a material point on an arbit...
Two families of periodic orbits in a three-dimensional potential of astronomical interest are descri...
This book presents classical celestial mechanics and its interplay with dynamical systems in a way s...
The theory of orbits is developed using spherical polar coordinates and the inverse square law of at...
The two-body problem is a well-known case of the general central force problem with an attractive, i...