Add to ORKGNumerical methods are usually constructed for solving mathematical problems such as differential equations or optimization problems. In this contribution we discuss the fact that numerical methods, applied inversely, were also important in establishing these models. We show in detail the discovery of the laws of planetary motion by Kepler and Newton, which stood at the beginning of modern science. The 400th anniversary of the publication of Kepler's laws (1609) is a good occasion for this investigatio
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton ...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
Numerical methods are usually constructed for solving mathematical problems such as differential equ...
AbstractThis paper details an investigation into Kepler’s Laws. Newton’s technique for deducing an i...
This article deals with the methodological procedures employed by Johannes Kepler, particularly thos...
AbstractThis paper details an investigation into Kepler’s Laws. Newton’s technique for deducing an i...
Simulating the dynamics of the Sun–Earth–Moon system with a standard algorithm yields a dramatically...
ABSTRACT. Assuming Kepler’s law that the planets travel in el-lipses with the Sun at a focus, Newton...
AbstractA new method which shows, simply and accurately, the planetary position as a geometrical poi...
Kepler's Equation is solved over the entire range of elliptic motion by a fifth-order refinement of ...
This year, 400 years have passed since the creation of the Kepler’s theory about the movement of cel...
Introduction. One of the high points of elementary calculus is the derivation of Ke-pler’s empirical...
We derive and present a fast and accurate solution of the initial value problem for Keplerian motion...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton ...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
Numerical methods are usually constructed for solving mathematical problems such as differential equ...
AbstractThis paper details an investigation into Kepler’s Laws. Newton’s technique for deducing an i...
This article deals with the methodological procedures employed by Johannes Kepler, particularly thos...
AbstractThis paper details an investigation into Kepler’s Laws. Newton’s technique for deducing an i...
Simulating the dynamics of the Sun–Earth–Moon system with a standard algorithm yields a dramatically...
ABSTRACT. Assuming Kepler’s law that the planets travel in el-lipses with the Sun at a focus, Newton...
AbstractA new method which shows, simply and accurately, the planetary position as a geometrical poi...
Kepler's Equation is solved over the entire range of elliptic motion by a fifth-order refinement of ...
This year, 400 years have passed since the creation of the Kepler’s theory about the movement of cel...
Introduction. One of the high points of elementary calculus is the derivation of Ke-pler’s empirical...
We derive and present a fast and accurate solution of the initial value problem for Keplerian motion...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...
Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton ...
The two and three-dimensional discrete Kepler motions were presented in [5, 6] which conserve all of...