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35. Expandiendo e sin en serie de Fourier en wt, mostrar que la ecuacin trascendedente de Kepler tiene la solucin formal: = wt+Jn(ne) sin

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35. Expandiendo e sin en serie de Fourier en wt, mostrar que la ecuacin trascendedente de Kepler tiene la solucin formal: = wt+Jn(ne) sin (wt), n=1 n 2 donde J, es la funcin de Bessel de orden n. Para argumentos pequeos, la funcin de Bessel se puede aproximar por medio de un desarrollo en serie de potencias del argumento. En consecuencia, deducir de este resultado, los primeros trminos del desarrollo de en potencias de e.

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