In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic oscillator. It is shown that this reduction is a reverse KS regularization. It is furthermore shown how the integrals for the Kepler system can be represented as integrals of the harmonic oscillator. Also a representation of the Delaunay elements is computed
Quaternions, introduced by Hamilton (Philos. Mag. 25, 489-495, 1844) as a generalization of complex ...
In 1970, Moser showed that the Hamiltonian flow of the Kepler problem in R^n for a fixed negative en...
A uniparametric 4-DOF family of perturbed Hamiltonian oscillators in 1:1:1:1 resonance is studied as...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
Quaternions, introduced by Hamilton (Philos. Mag. 25, 489-495, 1844) as a generalization of complex ...
In 1970, Moser showed that the Hamiltonian flow of the Kepler problem in R^n for a fixed negative en...
A uniparametric 4-DOF family of perturbed Hamiltonian oscillators in 1:1:1:1 resonance is studied as...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this note it is shown how to obtain the Kepler system by geometric reduction of the 4DOF harmonic...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
In this paper we review the connection between the Kepler problem and the harmonic oscillator. More ...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Ke...
Quaternions, introduced by Hamilton (Philos. Mag. 25, 489-495, 1844) as a generalization of complex ...
In 1970, Moser showed that the Hamiltonian flow of the Kepler problem in R^n for a fixed negative en...
A uniparametric 4-DOF family of perturbed Hamiltonian oscillators in 1:1:1:1 resonance is studied as...