Quantization of the multifold Kepler system

1996 ◽  
Vol 37 (2) ◽  
pp. 608 ◽  
Author(s):  
Toshihiro Iwai ◽  
Yoshio Uwano ◽  
Noriaki Katayama
Keyword(s):  
Kepler System

Thermal-mixture Kepler system in stochastic mechanics

1991 ◽  
Vol 44 (10) ◽  
pp. 6313-6319 ◽  
Author(s):  
Tetsuya Misawa
Keyword(s):  
Stochastic Mechanics ◽  
Kepler System

scholarly journals The generalized MIC-Kepler system

2003 ◽  
Vol 44 (11) ◽  
pp. 4981-4987 ◽  
Author(s):  
Levon Mardoyan
Keyword(s):  
Kepler System

scholarly journals Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution

2014 ◽  
Vol 29 (29) ◽  
pp. 1450148
Author(s):  
Eva Gevorgyan ◽  
Armen Nersessian ◽  
Vadim Ohanyan ◽  
Evgeny Tolkachev
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Free Particle ◽  
Two Dimensional ◽  
Qualitative Character ◽  
Surface Of Revolution ◽  
Paraboloid Of Revolution ◽  
Kepler System ◽  
The Magnetic Field ◽  
Dimensional Surface

We define the Landau problem on two-dimensional ellipsoid, hyperboloid and paraboloid of revolution. Starting from the two-center McIntosh–Cisneros–Zwanziger (MICZ)–Kepler system and making the reduction into these two-dimensional surfaces, we obtain the Hamiltonians of the charged particle moving on the corresponding surface of revolution in the magnetic field conserving the symmetry of the two-dimensional surface (Landau problem). For each case we figure out the values of parameter for which the qualitative character of the motion coincides with that of a free particle moving on the same two-dimensional surface. For the case of finite trajectories we construct the action-angle variables.

Kepler system numerical model for the detection of extrasolar terrestrial planets

2002 ◽  
Author(s):  
Quinn P. Remund ◽  
Steven P. Jordan ◽  
Todd F. Updike ◽  
Jon M. Jenkins ◽  
William J. Borucki
Keyword(s):  
Numerical Model ◽  
Terrestrial Planets ◽  
Kepler System
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