Add to ORKGAbstract. A new efficient method is presented for the numerical computation of families of periodic orbits of systems with three or more degrees of freedom. This method is based on a well-known procedure using the variational equations as well as on unconstrained op-timization techniques. This combination accelerates the convergence of previous schemes. The new composite method has been implemented here on an example of interest to Celestial Mechanics. 1
Abstract. Three-dimensional planetary systems are studied, using the model of the restricted three-b...
Starting from a variational formulation based on Hamilton’s Principle, the paper exploits the finite...
A numerical approach for directly computing periodic orbits and their corresponding stability throug...
The generation of periodic orbits in the context of the circular restricted three-body problem has b...
This paper deals with the analytic continuation of periodic orbits of conservative dynamical systems...
This paper deals with the analytic continuation of periodic orbits of conservative dynamical systems...
Method is modification of generalized Newton-Ralphson algorithm for analyzing two-point boundary pro...
We present new methods for the determination of periodic orbits of general dynamical systems. Iterat...
This thesis is divided in two parts: the first part is dedicated to variational methods applied to t...
The restricted problem of three bodies is of fundamental importance in mechanics, with significant a...
In the dynamical model of relative motion with circular reference orbit, the equilibrium points are ...
A new fully numerical method is presented which employs multiple Poincaré sections to find quasi-per...
AbstractWe use a family of root-finding iterative methods for finding roots of nonlinear equations. ...
Periodic orbits are studied using generating functions. We develop necessary and su#cient conditions...
Abstract: In this paper, we present the algorithm and the methodology used for locating periodic con...
Abstract. Three-dimensional planetary systems are studied, using the model of the restricted three-b...
Starting from a variational formulation based on Hamilton’s Principle, the paper exploits the finite...
A numerical approach for directly computing periodic orbits and their corresponding stability throug...
The generation of periodic orbits in the context of the circular restricted three-body problem has b...
This paper deals with the analytic continuation of periodic orbits of conservative dynamical systems...
This paper deals with the analytic continuation of periodic orbits of conservative dynamical systems...
Method is modification of generalized Newton-Ralphson algorithm for analyzing two-point boundary pro...
We present new methods for the determination of periodic orbits of general dynamical systems. Iterat...
This thesis is divided in two parts: the first part is dedicated to variational methods applied to t...
The restricted problem of three bodies is of fundamental importance in mechanics, with significant a...
In the dynamical model of relative motion with circular reference orbit, the equilibrium points are ...
A new fully numerical method is presented which employs multiple Poincaré sections to find quasi-per...
AbstractWe use a family of root-finding iterative methods for finding roots of nonlinear equations. ...
Periodic orbits are studied using generating functions. We develop necessary and su#cient conditions...
Abstract: In this paper, we present the algorithm and the methodology used for locating periodic con...
Abstract. Three-dimensional planetary systems are studied, using the model of the restricted three-b...
Starting from a variational formulation based on Hamilton’s Principle, the paper exploits the finite...
A numerical approach for directly computing periodic orbits and their corresponding stability throug...