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A canonical treatment of nonautonomous systems of typedot upsilon = f(t) + c.
Authors:J. L. Jimenez  I. Campos  G. Del Valle
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
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 
$$dot upsilon  = f(t) + c$$
. 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.
Keywords:nonautonomous systems  Hamilton-Jacobi equation  Poisson brackets  rocket
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