The main aim of this paper is the construction of a set of computational tools in order to improve the management of large expansions used in celestial mechanics. This package involves an iterative algorithm to develop the inverse of the distance according to an appropriate set of temporal variables, a new Poisson series processor, and an iterative integration method to obtain the solution of Lagrange planetary equations. The method has been applied to compute a set of examples using several kinds of anomalies in order to test the performance of the algorithms
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
The connections between geometric intuition and the analytic statement of a problem are briefly inve...
One of the main problems in celestial mechanics is the management of long developments in Fourier or...
AbstractThe main methods used to obtain analytical theories of perturbed motion in celestial mechani...
One of the main problems in celestial mechanics is the construction of analytical theories of planet...
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bod...
This work presents a study on how techniques provided by the algebraic manipulation software Mathema...
A method for the expansion of the perturbative Hamiltonian in the planetary problem is presented, wh...
One aspect of celestial mechanics is the computation of the long-term orbits of celestial bodies. T...
La primera parte, que engloba los capítulos 1–5, expone los fundamentos teóricos del trabajo. Entre ...
Simulating the dynamics of the Sun–Earth–Moon system with a standard algorithm yields a dramatically...
Context. The development of precise numerical integrations of the motion of the planets, t...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
On the basis of the semi-analytical theory ELP, a new solution has been built that makes use of the ...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
The connections between geometric intuition and the analytic statement of a problem are briefly inve...
One of the main problems in celestial mechanics is the management of long developments in Fourier or...
AbstractThe main methods used to obtain analytical theories of perturbed motion in celestial mechani...
One of the main problems in celestial mechanics is the construction of analytical theories of planet...
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bod...
This work presents a study on how techniques provided by the algebraic manipulation software Mathema...
A method for the expansion of the perturbative Hamiltonian in the planetary problem is presented, wh...
One aspect of celestial mechanics is the computation of the long-term orbits of celestial bodies. T...
La primera parte, que engloba los capítulos 1–5, expone los fundamentos teóricos del trabajo. Entre ...
Simulating the dynamics of the Sun–Earth–Moon system with a standard algorithm yields a dramatically...
Context. The development of precise numerical integrations of the motion of the planets, t...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
On the basis of the semi-analytical theory ELP, a new solution has been built that makes use of the ...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
A method for the nonlinear propagation of uncertainties in Celestial Mechanics based on differential...
The connections between geometric intuition and the analytic statement of a problem are briefly inve...