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A novel solution to Kepler s problem
European Journal of Physics, 2003Summary: The standard (unperturbed) Kepler problem is expressed in Kustaanheimo-Stiefel form and solved utilizing the algebra of quaternions. This provides the necessary background to understand some of the new techniques of celestial mechanics.
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2016
We provide a global analysis of the Kepler problem as an example of a mechanical system which is characterized by its symmetries in full.
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We provide a global analysis of the Kepler problem as an example of a mechanical system which is characterized by its symmetries in full.
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On a first integral of the Kepler problem
Journal of Mathematical Physics, 1997A quadratic first integral of the Kepler problem, obtained by Benenti (“Orthogonal separable dynamical systems,” 5th International Conference on Differential Geometry and its Applications, 24–28 August 1992, Silesian University at Opava) through separation in elliptic coordinates, is shown to be intimately connected with the pre-quantization of the ...
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace L Smith+2 more
exaly
Cervical cancer prevention and control in women living with human immunodeficiency virus
Ca-A Cancer Journal for Clinicians, 2021Philip E Castle+2 more
exaly
Quantization of the Kepler Problem
2003The expression “quantization of a mechanical system” is somewhat vague and this is not the place to give an exact and precise definition (which, probably’, can not be given at all). So we take it for granted that the reader is familiar with the fascinating subtleties of quantum mechanics and only recall that, from the physical point of view, quantizing
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Perturbations of the Kepler Problem
2003In this chapter we study the perturbations of the Kepler problem, i.e., the motion of a particle with mass m and Hamiltonian $$H(\vec{Q},\vec{P}) = \frac{1}{{2m}}{{P}^{2}} - \frac{k}{Q} + \varepsilon {{H}_{p}}(\vec{Q},\vec{P}),$$ where \({{H}_{p}}(\vec{Q},\vec{P})\) the perturbation Hamiltonian and E a dimension-less, “small” parameter.
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Increased cancer burden among pesticide applicators and others due to pesticide exposure
Ca-A Cancer Journal for Clinicians, 2013Matthew R Bonner, Demosthenes Bouros
exaly