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Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
(Hindawi Publishing Corporation, 2009)
Artículo / Artikulua,
Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions ...
Formulas for the amplitude of the van der Pol limit cycle through the homotopy analysis method
(Hindawi / Wiley, 2009)
info:eu-repo/semantics/article,
The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by applying the homotopy analysis method. A recursive set of formulas that approximate the amplitude and form of this limit ...