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Normal Terms of Hamiltonian Systems

100%
Wąż P.
Acta Physica Polonica A
|
1996
|
vol. 89
|
issue 4
467-479
EN
All the transformation matrices for a Hamiltonian with two and three degrees of freedom are found. They are calculated using algorithms for the linear normalization of Hamiltonian systems near the equilibrium point.
2
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Periodic Motion of Rigid Body in Circular Orbit

100%
Niedzielska Z., Wąż P.
Acta Physica Polonica A
|
1997
|
vol. 92
|
issue 3
481-489
EN
The periodic rotations of a symmetric rigid body close to the flat motions are analytically determined. Their orbital stability is investigated. Calculations are done up to the second order terms of a small parameter.
3
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Simulation model for anomalous precession of the perihelion of mercury's orbit

75%
Biswas A., Mani K.
Open Physics
|
2005
|
vol. 3
|
issue 1
69-76
EN
The ‘anomalous perihelion precession’ of Mercury, announced by Le Verrier in 1859, was a highly controversial topic for more than half a century and invoked many alternative theories until 1916, when Einstein presented his theory of general relativity as an alternative theory of gravitation and showed perihelion precession to be one of its potential manifestations. As perihelion precession was a directly derived result of the full General Theory and not just the Equivalence Principle, Einstein viewed it as the most critical test of his theory. This paper presents the computed value of the anomalous perihelion precession of Mercury's orbit using a new relativistic simulation model that employs a simple transformation factor for mass and time, proposed in an earlier paper. This computed value compares well with the prediction of general relativity and is, also, in complete agreement with the observed value within its range of uncertainty. No general relativistic equations have been used for computing the results presented in this paper.
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