A canonical treatment of nonautonomous systems of typedot upsilon = f(t) + c. |
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Authors: | J. L. Jimenez I. Campos G. Del Valle |
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Affiliation: | (1) Departamento de Física División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 21-939, 04000 México, D. F. México;(2) Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 21-939, 04000 México, D. F. México;(3) Area de Física División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco, Apartado Postal 21-939, 04000 México, D. F. México |
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Abstract: | We solve by canonical methods, the Hamilton-Jacobi equation and the Poisson bracket technique, the special type of nonautonomous systems described by the equation . The general expressions so obtained are applied to the free rocket and the rocket in a uniform gravitational field, which serve as illustrations and test of the general results. |
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Keywords: | nonautonomous systems Hamilton-Jacobi equation Poisson brackets rocket |
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